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11976784 No.11976784 [Reply] [Original]

Prove that every positive integer is the sum of at most 3 triangular numbers (proven by gauss :) don't cheat :) And don't feel bad if you can't get it, Gauss didn't prove this until he turned 6

>> No.11976796

>>11976784
Let n be a positive integer.
Assume n can be written as a sum of 4 triangular numbers.
By a theorem of Gauss, this is a contradiction.
Therefore every positive integer is a sum of at most 3 triangular numbers.
This completes the proof.

>> No.11976812

>>11976784
stop smiling at me like some faggot