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

Author

T. D. Noe, May 02 2005

Keywords

• hard
• more
• nonn

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

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

Crossrefs

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