Create all numbers from 1-100 using 1,3,3,6












1












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Create all the numbers from $1$ to $100$ using the numbers $1$,$3$,$3$, and $6$.




  • You can only use each number once, except for the $3$, of which you have two.

  • You can use addition ($x+y$), subtraction ($x-y$), division ($frac{x}{y}$), multiplication ($xtimes y$), exponentiation ($x^y$) and roots ($sqrt[leftroot{-2}uproot{2}x]{y}$).

  • You can combine numbers like $1$ and $3$ to $13$ etc.

  • You must use all numbers.










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  • 2




    $begingroup$
    Can we combine the results of operations? For example, is $(1+3) | 36 = 436$ (where | indicates concatenation)
    $endgroup$
    – Hugh
    5 hours ago






  • 1




    $begingroup$
    If we need to take a square root, is the two implied?
    $endgroup$
    – Hugh
    5 hours ago






  • 1




    $begingroup$
    can we use factorial?
    $endgroup$
    – Omega Krypton
    3 hours ago






  • 1




    $begingroup$
    Factorials are most likely out, but what about parentheses, unary minus (like starting with -1) and decimal points?
    $endgroup$
    – Bass
    2 hours ago


















1












$begingroup$


Create all the numbers from $1$ to $100$ using the numbers $1$,$3$,$3$, and $6$.




  • You can only use each number once, except for the $3$, of which you have two.

  • You can use addition ($x+y$), subtraction ($x-y$), division ($frac{x}{y}$), multiplication ($xtimes y$), exponentiation ($x^y$) and roots ($sqrt[leftroot{-2}uproot{2}x]{y}$).

  • You can combine numbers like $1$ and $3$ to $13$ etc.

  • You must use all numbers.










share|improve this question









New contributor




Michał Uraszewski is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$








  • 2




    $begingroup$
    Can we combine the results of operations? For example, is $(1+3) | 36 = 436$ (where | indicates concatenation)
    $endgroup$
    – Hugh
    5 hours ago






  • 1




    $begingroup$
    If we need to take a square root, is the two implied?
    $endgroup$
    – Hugh
    5 hours ago






  • 1




    $begingroup$
    can we use factorial?
    $endgroup$
    – Omega Krypton
    3 hours ago






  • 1




    $begingroup$
    Factorials are most likely out, but what about parentheses, unary minus (like starting with -1) and decimal points?
    $endgroup$
    – Bass
    2 hours ago
















1












1








1





$begingroup$


Create all the numbers from $1$ to $100$ using the numbers $1$,$3$,$3$, and $6$.




  • You can only use each number once, except for the $3$, of which you have two.

  • You can use addition ($x+y$), subtraction ($x-y$), division ($frac{x}{y}$), multiplication ($xtimes y$), exponentiation ($x^y$) and roots ($sqrt[leftroot{-2}uproot{2}x]{y}$).

  • You can combine numbers like $1$ and $3$ to $13$ etc.

  • You must use all numbers.










share|improve this question









New contributor




Michał Uraszewski is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$




Create all the numbers from $1$ to $100$ using the numbers $1$,$3$,$3$, and $6$.




  • You can only use each number once, except for the $3$, of which you have two.

  • You can use addition ($x+y$), subtraction ($x-y$), division ($frac{x}{y}$), multiplication ($xtimes y$), exponentiation ($x^y$) and roots ($sqrt[leftroot{-2}uproot{2}x]{y}$).

  • You can combine numbers like $1$ and $3$ to $13$ etc.

  • You must use all numbers.







calculation-puzzle formation-of-numbers






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share|improve this question









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share|improve this question




share|improve this question








edited 3 hours ago









Hugh

1,4861617




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asked 5 hours ago









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Check out our Code of Conduct.






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Check out our Code of Conduct.








  • 2




    $begingroup$
    Can we combine the results of operations? For example, is $(1+3) | 36 = 436$ (where | indicates concatenation)
    $endgroup$
    – Hugh
    5 hours ago






  • 1




    $begingroup$
    If we need to take a square root, is the two implied?
    $endgroup$
    – Hugh
    5 hours ago






  • 1




    $begingroup$
    can we use factorial?
    $endgroup$
    – Omega Krypton
    3 hours ago






  • 1




    $begingroup$
    Factorials are most likely out, but what about parentheses, unary minus (like starting with -1) and decimal points?
    $endgroup$
    – Bass
    2 hours ago
















  • 2




    $begingroup$
    Can we combine the results of operations? For example, is $(1+3) | 36 = 436$ (where | indicates concatenation)
    $endgroup$
    – Hugh
    5 hours ago






  • 1




    $begingroup$
    If we need to take a square root, is the two implied?
    $endgroup$
    – Hugh
    5 hours ago






  • 1




    $begingroup$
    can we use factorial?
    $endgroup$
    – Omega Krypton
    3 hours ago






  • 1




    $begingroup$
    Factorials are most likely out, but what about parentheses, unary minus (like starting with -1) and decimal points?
    $endgroup$
    – Bass
    2 hours ago










2




2




$begingroup$
Can we combine the results of operations? For example, is $(1+3) | 36 = 436$ (where | indicates concatenation)
$endgroup$
– Hugh
5 hours ago




$begingroup$
Can we combine the results of operations? For example, is $(1+3) | 36 = 436$ (where | indicates concatenation)
$endgroup$
– Hugh
5 hours ago




1




1




$begingroup$
If we need to take a square root, is the two implied?
$endgroup$
– Hugh
5 hours ago




$begingroup$
If we need to take a square root, is the two implied?
$endgroup$
– Hugh
5 hours ago




1




1




$begingroup$
can we use factorial?
$endgroup$
– Omega Krypton
3 hours ago




$begingroup$
can we use factorial?
$endgroup$
– Omega Krypton
3 hours ago




1




1




$begingroup$
Factorials are most likely out, but what about parentheses, unary minus (like starting with -1) and decimal points?
$endgroup$
– Bass
2 hours ago






$begingroup$
Factorials are most likely out, but what about parentheses, unary minus (like starting with -1) and decimal points?
$endgroup$
– Bass
2 hours ago












5 Answers
5






active

oldest

votes


















2












$begingroup$

These get harder with larger numbers, but here are the first couple with the digits in order:



1 to 10




1: $1 + 3 + 3 - 6$

2: $(1 + 3) times 3 / 6$

3: $1^3 +3/6$

4: $13 - 3 - 6$

5: $-1^{33} +6$

6: $1times3-3+6$

7: $ 1 + 3 -3 +6$

8: $ 1+3/3 + 6$

9: $ 1^3 times (3+6)$

10: $ 1^3 + 3+6$




11 to 20




11: $ sqrt{1+3}+3+6$

12: $1times 3 + 3 + 6$

13: $1 + 3+3+6$

14: $-1 + 3times 3+6$

15: $-1times3 + 3times 6$

16: $1 - 3 + 3 times 6$

17: $ -1^3 +3times 6$

18: $ (1+3)*3+6 $

19: $13 + sqrt{36}$

20: $-1 + 3^3 - 6$




21 to 30




21: $ 1 * 3^3 - 6 $

22: $ 13 + 3 + 6$

23: $ -13+36 $

24: $ (1+3)timessqrt{36}$

25: $ 1 - 3 + sqrt3^6$

26: $ -1+33-6$

27: $ 1*33-6 $

28: $ 1+33-6$

29: $ -1 + 3 + sqrt3^6$

30: $ (-1+3+3)times 6$




31 to 40




31: $ 13+3*6 $

32: $ -1+3^3+6$

33: $ 13*3-6 $

34: $ 1+3^3+6$

35: $ -1+(3+3)times6 $

36: $ 1times(3+3)times 6$

37: $ 1^3+36$

38: $ sqrt{1+3}+36$

39: $ 1times3 + 36$

40: $ 1+33+6$




41 to 50 (getting much harder now, so I'll just press the submit button and let others continue)




41: $ $

42: $ (1+3+3)times 6$

43: $ $

44: $ $

45: $ 13times3+6$

46: $ $

47: $ $

48: $ $

49: $13+36$

50: $ $







share|improve this answer











$endgroup$





















    1












    $begingroup$

    Here are some:




    1: $3 + 3 - 6 + 1$

    2: $3 * 3 - (6 + 1)$

    3: $3 * 3 * 1 - 6$

    4: $3 * 3 - 6 + 1$

    5: $(3 * 6) / 3 - 1$

    6: $(3 * 6) / 3 * 1$

    7: $(3 * 6) / 3 + 1$

    8: $3 * 3 - 1 ^ 6$

    9: $(3 * 6) / (3 - 1)$

    10: $3 * 3 + 1 ^ 6$

    11: $36 / 3 - 1$

    12: $36 / 3 * 1$

    13: $36 / 3 + 1$

    14: $3 * 6 - (3 + 1)$

    15: $3 * 6 - (3 * 1)$

    16: $3 * 6 - (3 - 1)$

    17: $3 * 6 - 1 ^ 3$

    18: $3 * 6 * 1 ^ 3$

    19: $3 * 6 + 1 ^ 3$

    20: $3 * 6 + 3 - 1$

    22: (omega kyrpton did some) $3 * 6 + 3 + 1$

    23: $3 ^ 3 - 6 * 1$

    24: $3 ^ 3 - (6 - 1)$




    I will do more later.






    share|improve this answer











    $endgroup$





















      1












      $begingroup$

      Adding some more...



      1-20: (Credits to @YoutRied)




      1: $3 + 3 - 6 + 1$

      2: $3 * 3 - (6 + 1)$

      3: $3 * 3 * 1 - 6$

      4: $3 * 3 - 6 + 1$

      5: $(3 * 6) / 3 - 1$

      6: $(3 * 6) / 3 * 1$

      7: $(3 * 6) / 3 + 1$

      8: $3 * 3 - 1 ^ 6$

      9: $(3 * 6) / (3 - 1)$

      10: $3 * 3 + 1 ^ 6$

      11: $36 / 3 - 1$

      12: $36 / 3 * 1$

      13: $36 / 3 + 1$

      14: $3 * 6 - (3 + 1)$

      15: $3 * 6 - (3 * 1)$

      16: $3 * 6 - (3 - 1)$

      17: $3 * 6 - 1 ^ 3$

      18: $3 * 6 * 1 ^ 3$

      19: $3 * 6 + 1 ^ 3$

      20: $3 * 6 + 3 - 1$




      21-29




      21: $3 * 6 + 3 * 1$

      22: $( 1 + 3 ) ! - ( 6 / 3 )$

      23: $( 1 + 3 ) ! - ( 6 - 3 )$

      24: $( 6 - 3 / 3 - 1 ) !$

      25: $1 * 3 ^ 3 - floor(sqrt{6})$

      26: $( 6 - 3 ) ^ 3 - 1$

      27: $( 6 - 3 ) ^ 3 * 1$

      28: $( 6 - 3 ) ^ 3 + 1$

      29: $31 - 6 / 3$




      41-50: (Credits to @Bass for 42, 45, 49)




      41: $ (-1+3!)+36 $

      42: $ (1+3+3)times 6$

      43: $ 31 + 6 * ceil(sqrt{3})$

      44: $floor( 1 * 3 * sqrt{6 ^ 3}) $

      45: $ 13times3+6$

      46: $ ceil(sqrt{6 ^ 3} + 31)$

      47: $ floor(sqrt{sqrt{sqrt{sqrt{sqrt{31!}}}}})+36$

      48: $6 * ( 3 * 3 - 1 )$

      49: $13+36$

      50: $ (6+1)^2 + 3 - 3$




      51-60:




      51: $( 3 * 6 - 1 ) * 3$

      52: $( 3 + 3 + 1 ) * ceil(sqrt{6})$

      53: $-1+( 3 * 3 * 6 )$

      54: $ 1*3 * 3 * 6 $

      55: $1+3*3*6$

      56: $61-3!+floor(sqrt{3})$

      57: $1*63-3!$

      58: $1+63-3!$

      59: $floor(sqrt{sqrt{sqrt{sqrt{sqrt{6^{(3-1)}}}}}}*3)$

      60: $(1+3*3)*6$




      61-70:




      61: $63-3+1$

      62: $63+1-ceil(sqrt{3})$

      63: $63-floor(sqrt{3})+1$

      64: $63+ceil(sqrt{3})-1$

      65: $63+3-1$

      66: $63+3*1$

      67: $63+3+1$

      68: $61+3!+floor(sqrt{3})$

      69: $61+3!+ceil(sqrt{3})$

      70: $61+3*3$







      share|improve this answer











      $endgroup$













      • $begingroup$
        Who said you could use factorials?
        $endgroup$
        – Yout Ried
        2 hours ago










      • $begingroup$
        What are number 23 (plus you probably can't use factorials and 24? I don't get them.
        $endgroup$
        – Yout Ried
        2 hours ago












      • $begingroup$
        Oops forgot a ")" and maybe you're missing a factorial for number 24
        $endgroup$
        – Yout Ried
        2 hours ago



















      0












      $begingroup$

      Alrighty, I'm piggybacking off of @OmegaKrypton else and adding some of my own.



      1 to 10




      1: $1 + 3 + 3 - 6$

      2: $(1 + 3) times 3 / 6$

      3: $1^3 +3/6$

      4: $13 - 3 - 6$

      5: $-1^{33} +6$

      6: $1times3-3+6$

      7: $ 1 + 3 -3 +6$

      8: $ 1+3/3 + 6$

      9: $ 1^3 times (3+6)$

      10: $ 1^3 + 3+6$




      11 to 20




      11: $ sqrt{1+3}+3+6$

      12: $1times 3 + 3 + 6$

      13: $1 + 3+3+6$

      14: $-1 + 3times 3+6$

      15: $-1times3 + 3times 6$

      16: $1 - 3 + 3 times 6$

      17: $ -1^3 +3times 6$

      18: $ (1+3)*3+6 $

      19: $13 + sqrt{36}$

      20: $-1 + 3^3 - 6$




      21 to 30




      ! 21: $ 1 * 3^3 - 6 $

      ! 22: $ 13 + 3 + 6$

      ! 23: $ -13+36 $

      ! 24: $ (1+3)timessqrt{36}$

      ! 25: $ 3*6+3!-1$ or $ (6-1)^(3!/3)
      >! 26: $
      -1+33-6$
      >! 27: $
      1*33-6 $
      >! 28: $
      1+33-6$
      >! 29: $
      36-3!-1$
      >! 30: $
      (-1+3+3)times 6$




      31 to 40




      31: $ 13+3*6 $

      32: $ -1+3^3+6$

      33: $ 13*3-6 $

      34: $ 1+3^3+6$

      35: $ -1+(3+3)times6 $

      36: $ 1times(3+3)times 6$

      37: $ 1^3+36$

      38: $ sqrt{1+3}+36$

      39: $ 1times3 + 36$

      40: $ 1+33+6$




      41 to 50




      41: $ $

      42: $ (1+3+3)times 6$

      43: $ 3^3+16$

      44: $ $

      45: $ 13times3+6$

      46: $ $

      47: $ $

      48: $ 16*(3!-3)$

      49: $13+36$

      50: $ 63-13$




      I added a few. It's getting late here; will come back tomorrow.






      share|improve this answer









      $endgroup$





















        0












        $begingroup$

        Partial answer 1-30:




        $1= 1+3+3-6$
        $2= 1 + (frac{6}{(3+3)})$
        $3= 1^3+(frac{6}{3})$
        $4= (frac{6}{3})+3-1$
        $5= (frac{6}{3})+3^1$
        $6= 6^1+3-3$
        $7= 6+1-3+3$
        $8= 6 + 3 - 1^3$
        $9= 1^3 * (3+6)$
        $10= 1^3 +3+6$
        $11= 13 - (frac{6}{3})$
        $12= 6+3+3^1$
        $13= 6+3+3+1$
        $14= 6*3 - 3 - 1$
        $15= 6*3 - 3^1$
        $16= 16 + 3 - 3$
        $17= 16 + (frac{3}{3})$
        $18= (frac{6*3}{1^3})$
        $19= 6*3+1^3$
        $20= 6*3+3-1$
        $21= 6*3+3^1$
        $22= 6*3+3+1$
        $23= 36-13$
        $24= 6*(3+1^3)$
        $25= 16+(3*3)$
        $26= 13*(frac{6}{3})$
        $27= 33-6^1$
        $28= 33-6+1$
        $29= 31-(frac{6}{3})$
        $30= 6*(3+3-1)$







        share|improve this answer









        $endgroup$













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          5 Answers
          5






          active

          oldest

          votes








          5 Answers
          5






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          2












          $begingroup$

          These get harder with larger numbers, but here are the first couple with the digits in order:



          1 to 10




          1: $1 + 3 + 3 - 6$

          2: $(1 + 3) times 3 / 6$

          3: $1^3 +3/6$

          4: $13 - 3 - 6$

          5: $-1^{33} +6$

          6: $1times3-3+6$

          7: $ 1 + 3 -3 +6$

          8: $ 1+3/3 + 6$

          9: $ 1^3 times (3+6)$

          10: $ 1^3 + 3+6$




          11 to 20




          11: $ sqrt{1+3}+3+6$

          12: $1times 3 + 3 + 6$

          13: $1 + 3+3+6$

          14: $-1 + 3times 3+6$

          15: $-1times3 + 3times 6$

          16: $1 - 3 + 3 times 6$

          17: $ -1^3 +3times 6$

          18: $ (1+3)*3+6 $

          19: $13 + sqrt{36}$

          20: $-1 + 3^3 - 6$




          21 to 30




          21: $ 1 * 3^3 - 6 $

          22: $ 13 + 3 + 6$

          23: $ -13+36 $

          24: $ (1+3)timessqrt{36}$

          25: $ 1 - 3 + sqrt3^6$

          26: $ -1+33-6$

          27: $ 1*33-6 $

          28: $ 1+33-6$

          29: $ -1 + 3 + sqrt3^6$

          30: $ (-1+3+3)times 6$




          31 to 40




          31: $ 13+3*6 $

          32: $ -1+3^3+6$

          33: $ 13*3-6 $

          34: $ 1+3^3+6$

          35: $ -1+(3+3)times6 $

          36: $ 1times(3+3)times 6$

          37: $ 1^3+36$

          38: $ sqrt{1+3}+36$

          39: $ 1times3 + 36$

          40: $ 1+33+6$




          41 to 50 (getting much harder now, so I'll just press the submit button and let others continue)




          41: $ $

          42: $ (1+3+3)times 6$

          43: $ $

          44: $ $

          45: $ 13times3+6$

          46: $ $

          47: $ $

          48: $ $

          49: $13+36$

          50: $ $







          share|improve this answer











          $endgroup$


















            2












            $begingroup$

            These get harder with larger numbers, but here are the first couple with the digits in order:



            1 to 10




            1: $1 + 3 + 3 - 6$

            2: $(1 + 3) times 3 / 6$

            3: $1^3 +3/6$

            4: $13 - 3 - 6$

            5: $-1^{33} +6$

            6: $1times3-3+6$

            7: $ 1 + 3 -3 +6$

            8: $ 1+3/3 + 6$

            9: $ 1^3 times (3+6)$

            10: $ 1^3 + 3+6$




            11 to 20




            11: $ sqrt{1+3}+3+6$

            12: $1times 3 + 3 + 6$

            13: $1 + 3+3+6$

            14: $-1 + 3times 3+6$

            15: $-1times3 + 3times 6$

            16: $1 - 3 + 3 times 6$

            17: $ -1^3 +3times 6$

            18: $ (1+3)*3+6 $

            19: $13 + sqrt{36}$

            20: $-1 + 3^3 - 6$




            21 to 30




            21: $ 1 * 3^3 - 6 $

            22: $ 13 + 3 + 6$

            23: $ -13+36 $

            24: $ (1+3)timessqrt{36}$

            25: $ 1 - 3 + sqrt3^6$

            26: $ -1+33-6$

            27: $ 1*33-6 $

            28: $ 1+33-6$

            29: $ -1 + 3 + sqrt3^6$

            30: $ (-1+3+3)times 6$




            31 to 40




            31: $ 13+3*6 $

            32: $ -1+3^3+6$

            33: $ 13*3-6 $

            34: $ 1+3^3+6$

            35: $ -1+(3+3)times6 $

            36: $ 1times(3+3)times 6$

            37: $ 1^3+36$

            38: $ sqrt{1+3}+36$

            39: $ 1times3 + 36$

            40: $ 1+33+6$




            41 to 50 (getting much harder now, so I'll just press the submit button and let others continue)




            41: $ $

            42: $ (1+3+3)times 6$

            43: $ $

            44: $ $

            45: $ 13times3+6$

            46: $ $

            47: $ $

            48: $ $

            49: $13+36$

            50: $ $







            share|improve this answer











            $endgroup$
















              2












              2








              2





              $begingroup$

              These get harder with larger numbers, but here are the first couple with the digits in order:



              1 to 10




              1: $1 + 3 + 3 - 6$

              2: $(1 + 3) times 3 / 6$

              3: $1^3 +3/6$

              4: $13 - 3 - 6$

              5: $-1^{33} +6$

              6: $1times3-3+6$

              7: $ 1 + 3 -3 +6$

              8: $ 1+3/3 + 6$

              9: $ 1^3 times (3+6)$

              10: $ 1^3 + 3+6$




              11 to 20




              11: $ sqrt{1+3}+3+6$

              12: $1times 3 + 3 + 6$

              13: $1 + 3+3+6$

              14: $-1 + 3times 3+6$

              15: $-1times3 + 3times 6$

              16: $1 - 3 + 3 times 6$

              17: $ -1^3 +3times 6$

              18: $ (1+3)*3+6 $

              19: $13 + sqrt{36}$

              20: $-1 + 3^3 - 6$




              21 to 30




              21: $ 1 * 3^3 - 6 $

              22: $ 13 + 3 + 6$

              23: $ -13+36 $

              24: $ (1+3)timessqrt{36}$

              25: $ 1 - 3 + sqrt3^6$

              26: $ -1+33-6$

              27: $ 1*33-6 $

              28: $ 1+33-6$

              29: $ -1 + 3 + sqrt3^6$

              30: $ (-1+3+3)times 6$




              31 to 40




              31: $ 13+3*6 $

              32: $ -1+3^3+6$

              33: $ 13*3-6 $

              34: $ 1+3^3+6$

              35: $ -1+(3+3)times6 $

              36: $ 1times(3+3)times 6$

              37: $ 1^3+36$

              38: $ sqrt{1+3}+36$

              39: $ 1times3 + 36$

              40: $ 1+33+6$




              41 to 50 (getting much harder now, so I'll just press the submit button and let others continue)




              41: $ $

              42: $ (1+3+3)times 6$

              43: $ $

              44: $ $

              45: $ 13times3+6$

              46: $ $

              47: $ $

              48: $ $

              49: $13+36$

              50: $ $







              share|improve this answer











              $endgroup$



              These get harder with larger numbers, but here are the first couple with the digits in order:



              1 to 10




              1: $1 + 3 + 3 - 6$

              2: $(1 + 3) times 3 / 6$

              3: $1^3 +3/6$

              4: $13 - 3 - 6$

              5: $-1^{33} +6$

              6: $1times3-3+6$

              7: $ 1 + 3 -3 +6$

              8: $ 1+3/3 + 6$

              9: $ 1^3 times (3+6)$

              10: $ 1^3 + 3+6$




              11 to 20




              11: $ sqrt{1+3}+3+6$

              12: $1times 3 + 3 + 6$

              13: $1 + 3+3+6$

              14: $-1 + 3times 3+6$

              15: $-1times3 + 3times 6$

              16: $1 - 3 + 3 times 6$

              17: $ -1^3 +3times 6$

              18: $ (1+3)*3+6 $

              19: $13 + sqrt{36}$

              20: $-1 + 3^3 - 6$




              21 to 30




              21: $ 1 * 3^3 - 6 $

              22: $ 13 + 3 + 6$

              23: $ -13+36 $

              24: $ (1+3)timessqrt{36}$

              25: $ 1 - 3 + sqrt3^6$

              26: $ -1+33-6$

              27: $ 1*33-6 $

              28: $ 1+33-6$

              29: $ -1 + 3 + sqrt3^6$

              30: $ (-1+3+3)times 6$




              31 to 40




              31: $ 13+3*6 $

              32: $ -1+3^3+6$

              33: $ 13*3-6 $

              34: $ 1+3^3+6$

              35: $ -1+(3+3)times6 $

              36: $ 1times(3+3)times 6$

              37: $ 1^3+36$

              38: $ sqrt{1+3}+36$

              39: $ 1times3 + 36$

              40: $ 1+33+6$




              41 to 50 (getting much harder now, so I'll just press the submit button and let others continue)




              41: $ $

              42: $ (1+3+3)times 6$

              43: $ $

              44: $ $

              45: $ 13times3+6$

              46: $ $

              47: $ $

              48: $ $

              49: $13+36$

              50: $ $








              share|improve this answer














              share|improve this answer



              share|improve this answer








              edited 11 mins ago

























              answered 2 hours ago









              BassBass

              28.7k470176




              28.7k470176























                  1












                  $begingroup$

                  Here are some:




                  1: $3 + 3 - 6 + 1$

                  2: $3 * 3 - (6 + 1)$

                  3: $3 * 3 * 1 - 6$

                  4: $3 * 3 - 6 + 1$

                  5: $(3 * 6) / 3 - 1$

                  6: $(3 * 6) / 3 * 1$

                  7: $(3 * 6) / 3 + 1$

                  8: $3 * 3 - 1 ^ 6$

                  9: $(3 * 6) / (3 - 1)$

                  10: $3 * 3 + 1 ^ 6$

                  11: $36 / 3 - 1$

                  12: $36 / 3 * 1$

                  13: $36 / 3 + 1$

                  14: $3 * 6 - (3 + 1)$

                  15: $3 * 6 - (3 * 1)$

                  16: $3 * 6 - (3 - 1)$

                  17: $3 * 6 - 1 ^ 3$

                  18: $3 * 6 * 1 ^ 3$

                  19: $3 * 6 + 1 ^ 3$

                  20: $3 * 6 + 3 - 1$

                  22: (omega kyrpton did some) $3 * 6 + 3 + 1$

                  23: $3 ^ 3 - 6 * 1$

                  24: $3 ^ 3 - (6 - 1)$




                  I will do more later.






                  share|improve this answer











                  $endgroup$


















                    1












                    $begingroup$

                    Here are some:




                    1: $3 + 3 - 6 + 1$

                    2: $3 * 3 - (6 + 1)$

                    3: $3 * 3 * 1 - 6$

                    4: $3 * 3 - 6 + 1$

                    5: $(3 * 6) / 3 - 1$

                    6: $(3 * 6) / 3 * 1$

                    7: $(3 * 6) / 3 + 1$

                    8: $3 * 3 - 1 ^ 6$

                    9: $(3 * 6) / (3 - 1)$

                    10: $3 * 3 + 1 ^ 6$

                    11: $36 / 3 - 1$

                    12: $36 / 3 * 1$

                    13: $36 / 3 + 1$

                    14: $3 * 6 - (3 + 1)$

                    15: $3 * 6 - (3 * 1)$

                    16: $3 * 6 - (3 - 1)$

                    17: $3 * 6 - 1 ^ 3$

                    18: $3 * 6 * 1 ^ 3$

                    19: $3 * 6 + 1 ^ 3$

                    20: $3 * 6 + 3 - 1$

                    22: (omega kyrpton did some) $3 * 6 + 3 + 1$

                    23: $3 ^ 3 - 6 * 1$

                    24: $3 ^ 3 - (6 - 1)$




                    I will do more later.






                    share|improve this answer











                    $endgroup$
















                      1












                      1








                      1





                      $begingroup$

                      Here are some:




                      1: $3 + 3 - 6 + 1$

                      2: $3 * 3 - (6 + 1)$

                      3: $3 * 3 * 1 - 6$

                      4: $3 * 3 - 6 + 1$

                      5: $(3 * 6) / 3 - 1$

                      6: $(3 * 6) / 3 * 1$

                      7: $(3 * 6) / 3 + 1$

                      8: $3 * 3 - 1 ^ 6$

                      9: $(3 * 6) / (3 - 1)$

                      10: $3 * 3 + 1 ^ 6$

                      11: $36 / 3 - 1$

                      12: $36 / 3 * 1$

                      13: $36 / 3 + 1$

                      14: $3 * 6 - (3 + 1)$

                      15: $3 * 6 - (3 * 1)$

                      16: $3 * 6 - (3 - 1)$

                      17: $3 * 6 - 1 ^ 3$

                      18: $3 * 6 * 1 ^ 3$

                      19: $3 * 6 + 1 ^ 3$

                      20: $3 * 6 + 3 - 1$

                      22: (omega kyrpton did some) $3 * 6 + 3 + 1$

                      23: $3 ^ 3 - 6 * 1$

                      24: $3 ^ 3 - (6 - 1)$




                      I will do more later.






                      share|improve this answer











                      $endgroup$



                      Here are some:




                      1: $3 + 3 - 6 + 1$

                      2: $3 * 3 - (6 + 1)$

                      3: $3 * 3 * 1 - 6$

                      4: $3 * 3 - 6 + 1$

                      5: $(3 * 6) / 3 - 1$

                      6: $(3 * 6) / 3 * 1$

                      7: $(3 * 6) / 3 + 1$

                      8: $3 * 3 - 1 ^ 6$

                      9: $(3 * 6) / (3 - 1)$

                      10: $3 * 3 + 1 ^ 6$

                      11: $36 / 3 - 1$

                      12: $36 / 3 * 1$

                      13: $36 / 3 + 1$

                      14: $3 * 6 - (3 + 1)$

                      15: $3 * 6 - (3 * 1)$

                      16: $3 * 6 - (3 - 1)$

                      17: $3 * 6 - 1 ^ 3$

                      18: $3 * 6 * 1 ^ 3$

                      19: $3 * 6 + 1 ^ 3$

                      20: $3 * 6 + 3 - 1$

                      22: (omega kyrpton did some) $3 * 6 + 3 + 1$

                      23: $3 ^ 3 - 6 * 1$

                      24: $3 ^ 3 - (6 - 1)$




                      I will do more later.







                      share|improve this answer














                      share|improve this answer



                      share|improve this answer








                      edited 1 hour ago

























                      answered 4 hours ago









                      Yout RiedYout Ried

                      769119




                      769119























                          1












                          $begingroup$

                          Adding some more...



                          1-20: (Credits to @YoutRied)




                          1: $3 + 3 - 6 + 1$

                          2: $3 * 3 - (6 + 1)$

                          3: $3 * 3 * 1 - 6$

                          4: $3 * 3 - 6 + 1$

                          5: $(3 * 6) / 3 - 1$

                          6: $(3 * 6) / 3 * 1$

                          7: $(3 * 6) / 3 + 1$

                          8: $3 * 3 - 1 ^ 6$

                          9: $(3 * 6) / (3 - 1)$

                          10: $3 * 3 + 1 ^ 6$

                          11: $36 / 3 - 1$

                          12: $36 / 3 * 1$

                          13: $36 / 3 + 1$

                          14: $3 * 6 - (3 + 1)$

                          15: $3 * 6 - (3 * 1)$

                          16: $3 * 6 - (3 - 1)$

                          17: $3 * 6 - 1 ^ 3$

                          18: $3 * 6 * 1 ^ 3$

                          19: $3 * 6 + 1 ^ 3$

                          20: $3 * 6 + 3 - 1$




                          21-29




                          21: $3 * 6 + 3 * 1$

                          22: $( 1 + 3 ) ! - ( 6 / 3 )$

                          23: $( 1 + 3 ) ! - ( 6 - 3 )$

                          24: $( 6 - 3 / 3 - 1 ) !$

                          25: $1 * 3 ^ 3 - floor(sqrt{6})$

                          26: $( 6 - 3 ) ^ 3 - 1$

                          27: $( 6 - 3 ) ^ 3 * 1$

                          28: $( 6 - 3 ) ^ 3 + 1$

                          29: $31 - 6 / 3$




                          41-50: (Credits to @Bass for 42, 45, 49)




                          41: $ (-1+3!)+36 $

                          42: $ (1+3+3)times 6$

                          43: $ 31 + 6 * ceil(sqrt{3})$

                          44: $floor( 1 * 3 * sqrt{6 ^ 3}) $

                          45: $ 13times3+6$

                          46: $ ceil(sqrt{6 ^ 3} + 31)$

                          47: $ floor(sqrt{sqrt{sqrt{sqrt{sqrt{31!}}}}})+36$

                          48: $6 * ( 3 * 3 - 1 )$

                          49: $13+36$

                          50: $ (6+1)^2 + 3 - 3$




                          51-60:




                          51: $( 3 * 6 - 1 ) * 3$

                          52: $( 3 + 3 + 1 ) * ceil(sqrt{6})$

                          53: $-1+( 3 * 3 * 6 )$

                          54: $ 1*3 * 3 * 6 $

                          55: $1+3*3*6$

                          56: $61-3!+floor(sqrt{3})$

                          57: $1*63-3!$

                          58: $1+63-3!$

                          59: $floor(sqrt{sqrt{sqrt{sqrt{sqrt{6^{(3-1)}}}}}}*3)$

                          60: $(1+3*3)*6$




                          61-70:




                          61: $63-3+1$

                          62: $63+1-ceil(sqrt{3})$

                          63: $63-floor(sqrt{3})+1$

                          64: $63+ceil(sqrt{3})-1$

                          65: $63+3-1$

                          66: $63+3*1$

                          67: $63+3+1$

                          68: $61+3!+floor(sqrt{3})$

                          69: $61+3!+ceil(sqrt{3})$

                          70: $61+3*3$







                          share|improve this answer











                          $endgroup$













                          • $begingroup$
                            Who said you could use factorials?
                            $endgroup$
                            – Yout Ried
                            2 hours ago










                          • $begingroup$
                            What are number 23 (plus you probably can't use factorials and 24? I don't get them.
                            $endgroup$
                            – Yout Ried
                            2 hours ago












                          • $begingroup$
                            Oops forgot a ")" and maybe you're missing a factorial for number 24
                            $endgroup$
                            – Yout Ried
                            2 hours ago
















                          1












                          $begingroup$

                          Adding some more...



                          1-20: (Credits to @YoutRied)




                          1: $3 + 3 - 6 + 1$

                          2: $3 * 3 - (6 + 1)$

                          3: $3 * 3 * 1 - 6$

                          4: $3 * 3 - 6 + 1$

                          5: $(3 * 6) / 3 - 1$

                          6: $(3 * 6) / 3 * 1$

                          7: $(3 * 6) / 3 + 1$

                          8: $3 * 3 - 1 ^ 6$

                          9: $(3 * 6) / (3 - 1)$

                          10: $3 * 3 + 1 ^ 6$

                          11: $36 / 3 - 1$

                          12: $36 / 3 * 1$

                          13: $36 / 3 + 1$

                          14: $3 * 6 - (3 + 1)$

                          15: $3 * 6 - (3 * 1)$

                          16: $3 * 6 - (3 - 1)$

                          17: $3 * 6 - 1 ^ 3$

                          18: $3 * 6 * 1 ^ 3$

                          19: $3 * 6 + 1 ^ 3$

                          20: $3 * 6 + 3 - 1$




                          21-29




                          21: $3 * 6 + 3 * 1$

                          22: $( 1 + 3 ) ! - ( 6 / 3 )$

                          23: $( 1 + 3 ) ! - ( 6 - 3 )$

                          24: $( 6 - 3 / 3 - 1 ) !$

                          25: $1 * 3 ^ 3 - floor(sqrt{6})$

                          26: $( 6 - 3 ) ^ 3 - 1$

                          27: $( 6 - 3 ) ^ 3 * 1$

                          28: $( 6 - 3 ) ^ 3 + 1$

                          29: $31 - 6 / 3$




                          41-50: (Credits to @Bass for 42, 45, 49)




                          41: $ (-1+3!)+36 $

                          42: $ (1+3+3)times 6$

                          43: $ 31 + 6 * ceil(sqrt{3})$

                          44: $floor( 1 * 3 * sqrt{6 ^ 3}) $

                          45: $ 13times3+6$

                          46: $ ceil(sqrt{6 ^ 3} + 31)$

                          47: $ floor(sqrt{sqrt{sqrt{sqrt{sqrt{31!}}}}})+36$

                          48: $6 * ( 3 * 3 - 1 )$

                          49: $13+36$

                          50: $ (6+1)^2 + 3 - 3$




                          51-60:




                          51: $( 3 * 6 - 1 ) * 3$

                          52: $( 3 + 3 + 1 ) * ceil(sqrt{6})$

                          53: $-1+( 3 * 3 * 6 )$

                          54: $ 1*3 * 3 * 6 $

                          55: $1+3*3*6$

                          56: $61-3!+floor(sqrt{3})$

                          57: $1*63-3!$

                          58: $1+63-3!$

                          59: $floor(sqrt{sqrt{sqrt{sqrt{sqrt{6^{(3-1)}}}}}}*3)$

                          60: $(1+3*3)*6$




                          61-70:




                          61: $63-3+1$

                          62: $63+1-ceil(sqrt{3})$

                          63: $63-floor(sqrt{3})+1$

                          64: $63+ceil(sqrt{3})-1$

                          65: $63+3-1$

                          66: $63+3*1$

                          67: $63+3+1$

                          68: $61+3!+floor(sqrt{3})$

                          69: $61+3!+ceil(sqrt{3})$

                          70: $61+3*3$







                          share|improve this answer











                          $endgroup$













                          • $begingroup$
                            Who said you could use factorials?
                            $endgroup$
                            – Yout Ried
                            2 hours ago










                          • $begingroup$
                            What are number 23 (plus you probably can't use factorials and 24? I don't get them.
                            $endgroup$
                            – Yout Ried
                            2 hours ago












                          • $begingroup$
                            Oops forgot a ")" and maybe you're missing a factorial for number 24
                            $endgroup$
                            – Yout Ried
                            2 hours ago














                          1












                          1








                          1





                          $begingroup$

                          Adding some more...



                          1-20: (Credits to @YoutRied)




                          1: $3 + 3 - 6 + 1$

                          2: $3 * 3 - (6 + 1)$

                          3: $3 * 3 * 1 - 6$

                          4: $3 * 3 - 6 + 1$

                          5: $(3 * 6) / 3 - 1$

                          6: $(3 * 6) / 3 * 1$

                          7: $(3 * 6) / 3 + 1$

                          8: $3 * 3 - 1 ^ 6$

                          9: $(3 * 6) / (3 - 1)$

                          10: $3 * 3 + 1 ^ 6$

                          11: $36 / 3 - 1$

                          12: $36 / 3 * 1$

                          13: $36 / 3 + 1$

                          14: $3 * 6 - (3 + 1)$

                          15: $3 * 6 - (3 * 1)$

                          16: $3 * 6 - (3 - 1)$

                          17: $3 * 6 - 1 ^ 3$

                          18: $3 * 6 * 1 ^ 3$

                          19: $3 * 6 + 1 ^ 3$

                          20: $3 * 6 + 3 - 1$




                          21-29




                          21: $3 * 6 + 3 * 1$

                          22: $( 1 + 3 ) ! - ( 6 / 3 )$

                          23: $( 1 + 3 ) ! - ( 6 - 3 )$

                          24: $( 6 - 3 / 3 - 1 ) !$

                          25: $1 * 3 ^ 3 - floor(sqrt{6})$

                          26: $( 6 - 3 ) ^ 3 - 1$

                          27: $( 6 - 3 ) ^ 3 * 1$

                          28: $( 6 - 3 ) ^ 3 + 1$

                          29: $31 - 6 / 3$




                          41-50: (Credits to @Bass for 42, 45, 49)




                          41: $ (-1+3!)+36 $

                          42: $ (1+3+3)times 6$

                          43: $ 31 + 6 * ceil(sqrt{3})$

                          44: $floor( 1 * 3 * sqrt{6 ^ 3}) $

                          45: $ 13times3+6$

                          46: $ ceil(sqrt{6 ^ 3} + 31)$

                          47: $ floor(sqrt{sqrt{sqrt{sqrt{sqrt{31!}}}}})+36$

                          48: $6 * ( 3 * 3 - 1 )$

                          49: $13+36$

                          50: $ (6+1)^2 + 3 - 3$




                          51-60:




                          51: $( 3 * 6 - 1 ) * 3$

                          52: $( 3 + 3 + 1 ) * ceil(sqrt{6})$

                          53: $-1+( 3 * 3 * 6 )$

                          54: $ 1*3 * 3 * 6 $

                          55: $1+3*3*6$

                          56: $61-3!+floor(sqrt{3})$

                          57: $1*63-3!$

                          58: $1+63-3!$

                          59: $floor(sqrt{sqrt{sqrt{sqrt{sqrt{6^{(3-1)}}}}}}*3)$

                          60: $(1+3*3)*6$




                          61-70:




                          61: $63-3+1$

                          62: $63+1-ceil(sqrt{3})$

                          63: $63-floor(sqrt{3})+1$

                          64: $63+ceil(sqrt{3})-1$

                          65: $63+3-1$

                          66: $63+3*1$

                          67: $63+3+1$

                          68: $61+3!+floor(sqrt{3})$

                          69: $61+3!+ceil(sqrt{3})$

                          70: $61+3*3$







                          share|improve this answer











                          $endgroup$



                          Adding some more...



                          1-20: (Credits to @YoutRied)




                          1: $3 + 3 - 6 + 1$

                          2: $3 * 3 - (6 + 1)$

                          3: $3 * 3 * 1 - 6$

                          4: $3 * 3 - 6 + 1$

                          5: $(3 * 6) / 3 - 1$

                          6: $(3 * 6) / 3 * 1$

                          7: $(3 * 6) / 3 + 1$

                          8: $3 * 3 - 1 ^ 6$

                          9: $(3 * 6) / (3 - 1)$

                          10: $3 * 3 + 1 ^ 6$

                          11: $36 / 3 - 1$

                          12: $36 / 3 * 1$

                          13: $36 / 3 + 1$

                          14: $3 * 6 - (3 + 1)$

                          15: $3 * 6 - (3 * 1)$

                          16: $3 * 6 - (3 - 1)$

                          17: $3 * 6 - 1 ^ 3$

                          18: $3 * 6 * 1 ^ 3$

                          19: $3 * 6 + 1 ^ 3$

                          20: $3 * 6 + 3 - 1$




                          21-29




                          21: $3 * 6 + 3 * 1$

                          22: $( 1 + 3 ) ! - ( 6 / 3 )$

                          23: $( 1 + 3 ) ! - ( 6 - 3 )$

                          24: $( 6 - 3 / 3 - 1 ) !$

                          25: $1 * 3 ^ 3 - floor(sqrt{6})$

                          26: $( 6 - 3 ) ^ 3 - 1$

                          27: $( 6 - 3 ) ^ 3 * 1$

                          28: $( 6 - 3 ) ^ 3 + 1$

                          29: $31 - 6 / 3$




                          41-50: (Credits to @Bass for 42, 45, 49)




                          41: $ (-1+3!)+36 $

                          42: $ (1+3+3)times 6$

                          43: $ 31 + 6 * ceil(sqrt{3})$

                          44: $floor( 1 * 3 * sqrt{6 ^ 3}) $

                          45: $ 13times3+6$

                          46: $ ceil(sqrt{6 ^ 3} + 31)$

                          47: $ floor(sqrt{sqrt{sqrt{sqrt{sqrt{31!}}}}})+36$

                          48: $6 * ( 3 * 3 - 1 )$

                          49: $13+36$

                          50: $ (6+1)^2 + 3 - 3$




                          51-60:




                          51: $( 3 * 6 - 1 ) * 3$

                          52: $( 3 + 3 + 1 ) * ceil(sqrt{6})$

                          53: $-1+( 3 * 3 * 6 )$

                          54: $ 1*3 * 3 * 6 $

                          55: $1+3*3*6$

                          56: $61-3!+floor(sqrt{3})$

                          57: $1*63-3!$

                          58: $1+63-3!$

                          59: $floor(sqrt{sqrt{sqrt{sqrt{sqrt{6^{(3-1)}}}}}}*3)$

                          60: $(1+3*3)*6$




                          61-70:




                          61: $63-3+1$

                          62: $63+1-ceil(sqrt{3})$

                          63: $63-floor(sqrt{3})+1$

                          64: $63+ceil(sqrt{3})-1$

                          65: $63+3-1$

                          66: $63+3*1$

                          67: $63+3+1$

                          68: $61+3!+floor(sqrt{3})$

                          69: $61+3!+ceil(sqrt{3})$

                          70: $61+3*3$








                          share|improve this answer














                          share|improve this answer



                          share|improve this answer








                          edited 16 mins ago

























                          answered 3 hours ago









                          Omega KryptonOmega Krypton

                          2,9851232




                          2,9851232












                          • $begingroup$
                            Who said you could use factorials?
                            $endgroup$
                            – Yout Ried
                            2 hours ago










                          • $begingroup$
                            What are number 23 (plus you probably can't use factorials and 24? I don't get them.
                            $endgroup$
                            – Yout Ried
                            2 hours ago












                          • $begingroup$
                            Oops forgot a ")" and maybe you're missing a factorial for number 24
                            $endgroup$
                            – Yout Ried
                            2 hours ago


















                          • $begingroup$
                            Who said you could use factorials?
                            $endgroup$
                            – Yout Ried
                            2 hours ago










                          • $begingroup$
                            What are number 23 (plus you probably can't use factorials and 24? I don't get them.
                            $endgroup$
                            – Yout Ried
                            2 hours ago












                          • $begingroup$
                            Oops forgot a ")" and maybe you're missing a factorial for number 24
                            $endgroup$
                            – Yout Ried
                            2 hours ago
















                          $begingroup$
                          Who said you could use factorials?
                          $endgroup$
                          – Yout Ried
                          2 hours ago




                          $begingroup$
                          Who said you could use factorials?
                          $endgroup$
                          – Yout Ried
                          2 hours ago












                          $begingroup$
                          What are number 23 (plus you probably can't use factorials and 24? I don't get them.
                          $endgroup$
                          – Yout Ried
                          2 hours ago






                          $begingroup$
                          What are number 23 (plus you probably can't use factorials and 24? I don't get them.
                          $endgroup$
                          – Yout Ried
                          2 hours ago














                          $begingroup$
                          Oops forgot a ")" and maybe you're missing a factorial for number 24
                          $endgroup$
                          – Yout Ried
                          2 hours ago




                          $begingroup$
                          Oops forgot a ")" and maybe you're missing a factorial for number 24
                          $endgroup$
                          – Yout Ried
                          2 hours ago











                          0












                          $begingroup$

                          Alrighty, I'm piggybacking off of @OmegaKrypton else and adding some of my own.



                          1 to 10




                          1: $1 + 3 + 3 - 6$

                          2: $(1 + 3) times 3 / 6$

                          3: $1^3 +3/6$

                          4: $13 - 3 - 6$

                          5: $-1^{33} +6$

                          6: $1times3-3+6$

                          7: $ 1 + 3 -3 +6$

                          8: $ 1+3/3 + 6$

                          9: $ 1^3 times (3+6)$

                          10: $ 1^3 + 3+6$




                          11 to 20




                          11: $ sqrt{1+3}+3+6$

                          12: $1times 3 + 3 + 6$

                          13: $1 + 3+3+6$

                          14: $-1 + 3times 3+6$

                          15: $-1times3 + 3times 6$

                          16: $1 - 3 + 3 times 6$

                          17: $ -1^3 +3times 6$

                          18: $ (1+3)*3+6 $

                          19: $13 + sqrt{36}$

                          20: $-1 + 3^3 - 6$




                          21 to 30




                          ! 21: $ 1 * 3^3 - 6 $

                          ! 22: $ 13 + 3 + 6$

                          ! 23: $ -13+36 $

                          ! 24: $ (1+3)timessqrt{36}$

                          ! 25: $ 3*6+3!-1$ or $ (6-1)^(3!/3)
                          >! 26: $
                          -1+33-6$
                          >! 27: $
                          1*33-6 $
                          >! 28: $
                          1+33-6$
                          >! 29: $
                          36-3!-1$
                          >! 30: $
                          (-1+3+3)times 6$




                          31 to 40




                          31: $ 13+3*6 $

                          32: $ -1+3^3+6$

                          33: $ 13*3-6 $

                          34: $ 1+3^3+6$

                          35: $ -1+(3+3)times6 $

                          36: $ 1times(3+3)times 6$

                          37: $ 1^3+36$

                          38: $ sqrt{1+3}+36$

                          39: $ 1times3 + 36$

                          40: $ 1+33+6$




                          41 to 50




                          41: $ $

                          42: $ (1+3+3)times 6$

                          43: $ 3^3+16$

                          44: $ $

                          45: $ 13times3+6$

                          46: $ $

                          47: $ $

                          48: $ 16*(3!-3)$

                          49: $13+36$

                          50: $ 63-13$




                          I added a few. It's getting late here; will come back tomorrow.






                          share|improve this answer









                          $endgroup$


















                            0












                            $begingroup$

                            Alrighty, I'm piggybacking off of @OmegaKrypton else and adding some of my own.



                            1 to 10




                            1: $1 + 3 + 3 - 6$

                            2: $(1 + 3) times 3 / 6$

                            3: $1^3 +3/6$

                            4: $13 - 3 - 6$

                            5: $-1^{33} +6$

                            6: $1times3-3+6$

                            7: $ 1 + 3 -3 +6$

                            8: $ 1+3/3 + 6$

                            9: $ 1^3 times (3+6)$

                            10: $ 1^3 + 3+6$




                            11 to 20




                            11: $ sqrt{1+3}+3+6$

                            12: $1times 3 + 3 + 6$

                            13: $1 + 3+3+6$

                            14: $-1 + 3times 3+6$

                            15: $-1times3 + 3times 6$

                            16: $1 - 3 + 3 times 6$

                            17: $ -1^3 +3times 6$

                            18: $ (1+3)*3+6 $

                            19: $13 + sqrt{36}$

                            20: $-1 + 3^3 - 6$




                            21 to 30




                            ! 21: $ 1 * 3^3 - 6 $

                            ! 22: $ 13 + 3 + 6$

                            ! 23: $ -13+36 $

                            ! 24: $ (1+3)timessqrt{36}$

                            ! 25: $ 3*6+3!-1$ or $ (6-1)^(3!/3)
                            >! 26: $
                            -1+33-6$
                            >! 27: $
                            1*33-6 $
                            >! 28: $
                            1+33-6$
                            >! 29: $
                            36-3!-1$
                            >! 30: $
                            (-1+3+3)times 6$




                            31 to 40




                            31: $ 13+3*6 $

                            32: $ -1+3^3+6$

                            33: $ 13*3-6 $

                            34: $ 1+3^3+6$

                            35: $ -1+(3+3)times6 $

                            36: $ 1times(3+3)times 6$

                            37: $ 1^3+36$

                            38: $ sqrt{1+3}+36$

                            39: $ 1times3 + 36$

                            40: $ 1+33+6$




                            41 to 50




                            41: $ $

                            42: $ (1+3+3)times 6$

                            43: $ 3^3+16$

                            44: $ $

                            45: $ 13times3+6$

                            46: $ $

                            47: $ $

                            48: $ 16*(3!-3)$

                            49: $13+36$

                            50: $ 63-13$




                            I added a few. It's getting late here; will come back tomorrow.






                            share|improve this answer









                            $endgroup$
















                              0












                              0








                              0





                              $begingroup$

                              Alrighty, I'm piggybacking off of @OmegaKrypton else and adding some of my own.



                              1 to 10




                              1: $1 + 3 + 3 - 6$

                              2: $(1 + 3) times 3 / 6$

                              3: $1^3 +3/6$

                              4: $13 - 3 - 6$

                              5: $-1^{33} +6$

                              6: $1times3-3+6$

                              7: $ 1 + 3 -3 +6$

                              8: $ 1+3/3 + 6$

                              9: $ 1^3 times (3+6)$

                              10: $ 1^3 + 3+6$




                              11 to 20




                              11: $ sqrt{1+3}+3+6$

                              12: $1times 3 + 3 + 6$

                              13: $1 + 3+3+6$

                              14: $-1 + 3times 3+6$

                              15: $-1times3 + 3times 6$

                              16: $1 - 3 + 3 times 6$

                              17: $ -1^3 +3times 6$

                              18: $ (1+3)*3+6 $

                              19: $13 + sqrt{36}$

                              20: $-1 + 3^3 - 6$




                              21 to 30




                              ! 21: $ 1 * 3^3 - 6 $

                              ! 22: $ 13 + 3 + 6$

                              ! 23: $ -13+36 $

                              ! 24: $ (1+3)timessqrt{36}$

                              ! 25: $ 3*6+3!-1$ or $ (6-1)^(3!/3)
                              >! 26: $
                              -1+33-6$
                              >! 27: $
                              1*33-6 $
                              >! 28: $
                              1+33-6$
                              >! 29: $
                              36-3!-1$
                              >! 30: $
                              (-1+3+3)times 6$




                              31 to 40




                              31: $ 13+3*6 $

                              32: $ -1+3^3+6$

                              33: $ 13*3-6 $

                              34: $ 1+3^3+6$

                              35: $ -1+(3+3)times6 $

                              36: $ 1times(3+3)times 6$

                              37: $ 1^3+36$

                              38: $ sqrt{1+3}+36$

                              39: $ 1times3 + 36$

                              40: $ 1+33+6$




                              41 to 50




                              41: $ $

                              42: $ (1+3+3)times 6$

                              43: $ 3^3+16$

                              44: $ $

                              45: $ 13times3+6$

                              46: $ $

                              47: $ $

                              48: $ 16*(3!-3)$

                              49: $13+36$

                              50: $ 63-13$




                              I added a few. It's getting late here; will come back tomorrow.






                              share|improve this answer









                              $endgroup$



                              Alrighty, I'm piggybacking off of @OmegaKrypton else and adding some of my own.



                              1 to 10




                              1: $1 + 3 + 3 - 6$

                              2: $(1 + 3) times 3 / 6$

                              3: $1^3 +3/6$

                              4: $13 - 3 - 6$

                              5: $-1^{33} +6$

                              6: $1times3-3+6$

                              7: $ 1 + 3 -3 +6$

                              8: $ 1+3/3 + 6$

                              9: $ 1^3 times (3+6)$

                              10: $ 1^3 + 3+6$




                              11 to 20




                              11: $ sqrt{1+3}+3+6$

                              12: $1times 3 + 3 + 6$

                              13: $1 + 3+3+6$

                              14: $-1 + 3times 3+6$

                              15: $-1times3 + 3times 6$

                              16: $1 - 3 + 3 times 6$

                              17: $ -1^3 +3times 6$

                              18: $ (1+3)*3+6 $

                              19: $13 + sqrt{36}$

                              20: $-1 + 3^3 - 6$




                              21 to 30




                              ! 21: $ 1 * 3^3 - 6 $

                              ! 22: $ 13 + 3 + 6$

                              ! 23: $ -13+36 $

                              ! 24: $ (1+3)timessqrt{36}$

                              ! 25: $ 3*6+3!-1$ or $ (6-1)^(3!/3)
                              >! 26: $
                              -1+33-6$
                              >! 27: $
                              1*33-6 $
                              >! 28: $
                              1+33-6$
                              >! 29: $
                              36-3!-1$
                              >! 30: $
                              (-1+3+3)times 6$




                              31 to 40




                              31: $ 13+3*6 $

                              32: $ -1+3^3+6$

                              33: $ 13*3-6 $

                              34: $ 1+3^3+6$

                              35: $ -1+(3+3)times6 $

                              36: $ 1times(3+3)times 6$

                              37: $ 1^3+36$

                              38: $ sqrt{1+3}+36$

                              39: $ 1times3 + 36$

                              40: $ 1+33+6$




                              41 to 50




                              41: $ $

                              42: $ (1+3+3)times 6$

                              43: $ 3^3+16$

                              44: $ $

                              45: $ 13times3+6$

                              46: $ $

                              47: $ $

                              48: $ 16*(3!-3)$

                              49: $13+36$

                              50: $ 63-13$




                              I added a few. It's getting late here; will come back tomorrow.







                              share|improve this answer












                              share|improve this answer



                              share|improve this answer










                              answered 19 mins ago









                              Brandon_JBrandon_J

                              1,16326




                              1,16326























                                  0












                                  $begingroup$

                                  Partial answer 1-30:




                                  $1= 1+3+3-6$
                                  $2= 1 + (frac{6}{(3+3)})$
                                  $3= 1^3+(frac{6}{3})$
                                  $4= (frac{6}{3})+3-1$
                                  $5= (frac{6}{3})+3^1$
                                  $6= 6^1+3-3$
                                  $7= 6+1-3+3$
                                  $8= 6 + 3 - 1^3$
                                  $9= 1^3 * (3+6)$
                                  $10= 1^3 +3+6$
                                  $11= 13 - (frac{6}{3})$
                                  $12= 6+3+3^1$
                                  $13= 6+3+3+1$
                                  $14= 6*3 - 3 - 1$
                                  $15= 6*3 - 3^1$
                                  $16= 16 + 3 - 3$
                                  $17= 16 + (frac{3}{3})$
                                  $18= (frac{6*3}{1^3})$
                                  $19= 6*3+1^3$
                                  $20= 6*3+3-1$
                                  $21= 6*3+3^1$
                                  $22= 6*3+3+1$
                                  $23= 36-13$
                                  $24= 6*(3+1^3)$
                                  $25= 16+(3*3)$
                                  $26= 13*(frac{6}{3})$
                                  $27= 33-6^1$
                                  $28= 33-6+1$
                                  $29= 31-(frac{6}{3})$
                                  $30= 6*(3+3-1)$







                                  share|improve this answer









                                  $endgroup$


















                                    0












                                    $begingroup$

                                    Partial answer 1-30:




                                    $1= 1+3+3-6$
                                    $2= 1 + (frac{6}{(3+3)})$
                                    $3= 1^3+(frac{6}{3})$
                                    $4= (frac{6}{3})+3-1$
                                    $5= (frac{6}{3})+3^1$
                                    $6= 6^1+3-3$
                                    $7= 6+1-3+3$
                                    $8= 6 + 3 - 1^3$
                                    $9= 1^3 * (3+6)$
                                    $10= 1^3 +3+6$
                                    $11= 13 - (frac{6}{3})$
                                    $12= 6+3+3^1$
                                    $13= 6+3+3+1$
                                    $14= 6*3 - 3 - 1$
                                    $15= 6*3 - 3^1$
                                    $16= 16 + 3 - 3$
                                    $17= 16 + (frac{3}{3})$
                                    $18= (frac{6*3}{1^3})$
                                    $19= 6*3+1^3$
                                    $20= 6*3+3-1$
                                    $21= 6*3+3^1$
                                    $22= 6*3+3+1$
                                    $23= 36-13$
                                    $24= 6*(3+1^3)$
                                    $25= 16+(3*3)$
                                    $26= 13*(frac{6}{3})$
                                    $27= 33-6^1$
                                    $28= 33-6+1$
                                    $29= 31-(frac{6}{3})$
                                    $30= 6*(3+3-1)$







                                    share|improve this answer









                                    $endgroup$
















                                      0












                                      0








                                      0





                                      $begingroup$

                                      Partial answer 1-30:




                                      $1= 1+3+3-6$
                                      $2= 1 + (frac{6}{(3+3)})$
                                      $3= 1^3+(frac{6}{3})$
                                      $4= (frac{6}{3})+3-1$
                                      $5= (frac{6}{3})+3^1$
                                      $6= 6^1+3-3$
                                      $7= 6+1-3+3$
                                      $8= 6 + 3 - 1^3$
                                      $9= 1^3 * (3+6)$
                                      $10= 1^3 +3+6$
                                      $11= 13 - (frac{6}{3})$
                                      $12= 6+3+3^1$
                                      $13= 6+3+3+1$
                                      $14= 6*3 - 3 - 1$
                                      $15= 6*3 - 3^1$
                                      $16= 16 + 3 - 3$
                                      $17= 16 + (frac{3}{3})$
                                      $18= (frac{6*3}{1^3})$
                                      $19= 6*3+1^3$
                                      $20= 6*3+3-1$
                                      $21= 6*3+3^1$
                                      $22= 6*3+3+1$
                                      $23= 36-13$
                                      $24= 6*(3+1^3)$
                                      $25= 16+(3*3)$
                                      $26= 13*(frac{6}{3})$
                                      $27= 33-6^1$
                                      $28= 33-6+1$
                                      $29= 31-(frac{6}{3})$
                                      $30= 6*(3+3-1)$







                                      share|improve this answer









                                      $endgroup$



                                      Partial answer 1-30:




                                      $1= 1+3+3-6$
                                      $2= 1 + (frac{6}{(3+3)})$
                                      $3= 1^3+(frac{6}{3})$
                                      $4= (frac{6}{3})+3-1$
                                      $5= (frac{6}{3})+3^1$
                                      $6= 6^1+3-3$
                                      $7= 6+1-3+3$
                                      $8= 6 + 3 - 1^3$
                                      $9= 1^3 * (3+6)$
                                      $10= 1^3 +3+6$
                                      $11= 13 - (frac{6}{3})$
                                      $12= 6+3+3^1$
                                      $13= 6+3+3+1$
                                      $14= 6*3 - 3 - 1$
                                      $15= 6*3 - 3^1$
                                      $16= 16 + 3 - 3$
                                      $17= 16 + (frac{3}{3})$
                                      $18= (frac{6*3}{1^3})$
                                      $19= 6*3+1^3$
                                      $20= 6*3+3-1$
                                      $21= 6*3+3^1$
                                      $22= 6*3+3+1$
                                      $23= 36-13$
                                      $24= 6*(3+1^3)$
                                      $25= 16+(3*3)$
                                      $26= 13*(frac{6}{3})$
                                      $27= 33-6^1$
                                      $28= 33-6+1$
                                      $29= 31-(frac{6}{3})$
                                      $30= 6*(3+3-1)$








                                      share|improve this answer












                                      share|improve this answer



                                      share|improve this answer










                                      answered 16 mins ago









                                      MukyuuMukyuu

                                      340112




                                      340112






















                                          Michał Uraszewski is a new contributor. Be nice, and check out our Code of Conduct.










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                                          Michał Uraszewski is a new contributor. Be nice, and check out our Code of Conduct.













                                          Michał Uraszewski is a new contributor. Be nice, and check out our Code of Conduct.












                                          Michał Uraszewski is a new contributor. Be nice, and check out our Code of Conduct.
















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