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%I #16 Mar 25 2024 09:58:39
%S 2,4,6,26,158
%N Numbers k for which the absolute value of the discriminant of the polynomial x^k - x^(k-1) - ... - x - 1 is prime.
%C This polynomial is the characteristic polynomial of the Fibonacci and Lucas k-step recursions. Are the k-step recursions different -- in some way -- for the values of k that yield a prime discriminant? No other k < 10000.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Fibonaccin-StepNumber.html">Fibonacci n-Step Number</a>.
%Y Cf. A106273 (discriminant of the polynomial x^n - x^(n-1) - ... - x - 1).
%K hard,more,nonn
%O 1,1
%A _T. D. Noe_, May 02 2005
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