A162601 Primes of form k^6 + k^3 + 1.

3, 73, 757, 262657, 1772893, 64008001, 85775383, 308933353, 729027001, 15625125001, 17596420453, 30841155073, 46656216001, 225200075257, 885843322057, 1126163480473, 2565165803383, 4608275809411, 5789338864921, 9685393594633, 16157823282721, 25002115044733

Offset: 1

Author

Daniel Tisdale, Jul 07 2009

Keywords

• easy
• nonn

Links

• Robert Israel, Table of n, a(n) for n = 1..10000
• Dan Ismailescu and Yunkyu James Lee, Polynomially growing integer sequences all whose terms are composite, arXiv:2501.04851 [math.NT], 2025. See p. 10.

Crossrefs

Cf. A000040, A002061, A060883, A153439.

Programs

Maple

select(isprime, [seq(k^6+k^3+1,k=1..1000)]); # Robert Israel, Jan 12 2025

Formula

A000040 INTERSECT A060883. - R. J. Mathar, May 31 2010

Extensions

Definition clarified, sequence corrected (757 inserted) and extended by R. J. Mathar, May 31 2010