N = 4^n + n^4 is never a prime.
(B
(BFor even n, it's even.
(BAnd for odd n,
(B4^n+n^4 = (2^n+n^2)^2 - (n*2^((n+1)/2))^2 =
(B(2^n+n^2-n*2^((n+1)/2))*(2^n+n^2+n*2^((n+1)/2))
(B
(BMax
(B
(BKotera Hiroshi wrote:
(B> Dear all
(B>
(B> Is 4^545+545^4 a prime number?
(B> Please tell me by elementary explanation.
(B>
(B> Regards
(B> ++++++++++++++++++++++++++++++++
(B> Hiroshi Kotera, D.Sc.
(B> 1014-4 Tokujo-cho Nara city Japan
(B> [EMAIL PROTECTED]
(B> www.wasan.jp
(B> ++++++++++++++++++++++++++++++++
(B>
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(B>
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