[seqfan] Proof or counter sample needed

Artur grafix at csl.pl
Sun Oct 26 19:16:54 CET 2008

Dear Seqfans,

Who is able to proof or find counter-sample following conjecture
Quintic polynomial:
(4 k - k^2 + 5 k^2 x + (20 k - 20 k^2) x^3 + (16 - 32 k + 16 k^2) x^5
is factorizable if and only when k belonging to finite set {2,4,243}
no more such k up to k=10^7

Who have any idea let me know

Best wishes

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