24211Re: [PrimeNumbers] Puzzle of sum to composite
- Apr 15, 2012On Sunday, April 15, 2012, Kermit Rose <kermit@...> wrote:
> Prove that every positive composite integer can be expressed as a sum ofN=ab=(p+q)(r+s)=pr+ps+qr+qs
> 4 positive integers
> such that the product of the 4 positive integers is a square integer.
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,
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