On Sunday, April 15, 2012, Kermit Rose <

kermit@...> wrote:

> Prove that every positive composite integer can be expressed as a sum of

> 4 positive integers

> such that the product of the 4 positive integers is a square integer.

N=ab=(p+q)(r+s)=pr+ps+qr+qs

pr * ps * qr * qs = ( pqrs )^2

otherwise said, /any/ decomposition of the two factors of N into a sum

leads to a decomposition satisfying your constraints.

Nice Sunday to all of you,

Maximilian

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