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The Four 4's Game

Nervous Rex

High-functioning autistic
V.I.P Member
I'm going to create a few "recreational math" threads, to see if anyone's interested. This is the first.

Starting at 0 create a formula that produces each integer.
Use exactly four 4's (no more, no less) and no other digits.
You may use any math operation you want - add, subtract, multiply, divide, powers, roots, factorial, ceiling, floor, etc.

For example, you can use √, because writing it doesn't require any extra digits, but you can't use ∛, because it requires a 3.

Here are a few to start us off:
0 = 4 - 4 + 4 - 4
1 = 4 * 4 / (4 * 4)
2 = 4 * 4 / (4 + 4)

Here's a Wikipedia article that lists some of the math operations used in the Four 4's game: Four fours - Wikipedia
Last edited:
11 = 4! / ((√4)!) - 4/4

When I played this game on paper by myself, I hit a wall and was completely stumped by one number. I wish I could remember what number that was.
12 = (4 * 4) - ( square root of 4 + square root of 4)

(sorry about words instead of square root symbol...cant find it on my mobile phone)

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