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Threes

Threes

Posers and Puzzles

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Find 3 ways to write 3 as the sum of 3 3rd powers of integers.

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Originally posted by Dejection
Find 3 ways to write 3 as the sum of 3 3rd powers of integers.
I got one!...haha 1^3 + 1^3 +1^3 = 3

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Originally posted by joe shmo
I got one!...haha 1^3 + 1^3 +1^3 = 3
I would complete the puzzle by switching around these "3's" 😀😉

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I found a second, pondering a third. I might use a couple of spreadsheets to find it.

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4^3 + 4^3 + (-5)^3 = 3

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Sorry guys, this was meant as a joke, because as of yet, no one has found a third solution. Of course, if you do, then you could become famous. 😀

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Originally posted by Dejection
Sorry guys, this was meant as a joke, because as of yet, no one has found a third solution. Of course, if you do, then you could become famous. 😀
Hey, meatloaf said 2 out of 3 ain't bad!

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Originally posted by Dejection
Sorry guys, this was meant as a joke, because as of yet, no one has found a third solution. Of course, if you do, then you could become famous. 😀
I doubt this. I bet Swissgambit knows a third one.