summary Re: square (prime+square)

Ralf Stephan ralf at ark.in-berlin.de
Mon Mar 31 12:25:04 CEST 2003


correction, again,

> Prove: If 2k+1 is composite (=ab) then there is p prime that k^2+p is (k+c)^2.
> Assume p+(ab-1)^2/4=((ab-1)/2+c)^2, then p would have to be
> abc+c^2-c-ab/4. For p to be integer, 4 must divide ab which
> contradicts oddness of ab.

No, it is abc+c^2-c = ab for prime p leading to the same argument as R. Guy's.

ralf





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