A106274 Numbers k for which the absolute value of the discriminant of the polynomial x^k - x^(k-1) - ... - x - 1 is prime.

2, 4, 6, 26, 158

Offset

1,1

Comments

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.

Links

Table of n, a(n) for n=1..5.

Eric Weisstein's World of Mathematics, Fibonacci n-Step Number.

Crossrefs

Cf. A106273 (discriminant of the polynomial x^n - x^(n-1) - ... - x - 1).

Sequence in context: A319575 A318609 A195333 * A204661 A284919 A279419

Adjacent sequences: A106271 A106272 A106273 * A106275 A106276 A106277

Keyword

hard,more,nonn

Author

T. D. Noe, May 02 2005

Status

approved