The Four 4's Game

[Crossbreed]

71 is such a messy number, so I cheated and looked online for the answer to 71. And boy- y'all have your work cut out for you.

Hint..... think decimals.

Using the rules from the Wikipedia page, I can do it using only three fours. We call that a "triad."

@Nervous Rex has a more streamlined representation of 20 than mine in the previous post.

 

[Nervous Rex]

Using the rules from the Wikipedia page, I can do it using only three fours. We call that a "triad."

@Nervous Rex has a more streamlined representation of 20 than mine in the previous post.

@Yeshuasdaughter, for full disclosure, after I started this thread, I wrote a program to find solutions for me. It found ways to use four 4's to make every number up to 18,592. Out of the numbers from 0 to 100,000, it found solutions for all but 1,350 of them.

My program found this way of producing 20: 20 = (√(4'%))', but @Crossbreed found that it could be written more simply as: √(4'%')

For this game, I still find solutions on my own. After I post a solution, I usually check my program to see if it did better.

I can do 71 with:

71 = 4! * √!4 - 4/4 Basic (a tetrad, which uses all four 4's)
71 = 4! * √!4 - !√4 + !!√4 fancy (a triad, which only needs 3 fours)

 

[Crossbreed]

72 = 4! + 4! + (√!4)! x 4, basic
72 = 4! x √!4 x 4/4, fancy

72 = 44 + 4! + 4, extra credit

 

[Yeshuasdaughter]

73= [4!*√4+√.4~)]/√.4~)

 

[Crossbreed]

74 = (√4)%' + 4! + 4 - 4

 

[Nervous Rex]

75 = (4! + 4/4) x √!4

 

[Yeshuasdaughter]

76=4!*4-4!+4

 

[Crossbreed]

77 = (4%' x √!4) + √4 x !√4

 

[Nervous Rex]

78 = (4! + √4) x √!4 x !√4

 

[Yeshuasdaughter]

79 (4/.4~) ^ √4 - √4

 

[Crossbreed]

80 = (!√4)%' - √(4'%') + 4 - 4