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

%I #20 Jan 12 2025 11:06:45

%S 3,73,757,262657,1772893,64008001,85775383,308933353,729027001,

%T 15625125001,17596420453,30841155073,46656216001,225200075257,

%U 885843322057,1126163480473,2565165803383,4608275809411,5789338864921,9685393594633,16157823282721,25002115044733

%N Primes of form k^6 + k^3 + 1.

%H Robert Israel, <a href="/A162601/b162601.txt">Table of n, a(n) for n = 1..10000</a>

%H Dan Ismailescu and Yunkyu James Lee, <a href="https://arxiv.org/abs/2501.04851">Polynomially growing integer sequences all whose terms are composite</a>, arXiv:2501.04851 [math.NT], 2025. See p. 10.

%F A000040 INTERSECT A060883. - _R. J. Mathar_, May 31 2010

%p select(isprime, [seq(k^6+k^3+1,k=1..1000)]); # _Robert Israel_, Jan 12 2025

%Y Cf. A000040, A002061, A060883, A153439.

%K easy,nonn

%O 1,1

%A _Daniel Tisdale_, Jul 07 2009

%E Definition clarified, sequence corrected (757 inserted) and extended by _R. J. Mathar_, May 31 2010