A226938 Primes p such that p^4 + p - 1, p^4 + p^2 - 1, p^4 + p^3 - 1 are also prime.

2, 3, 13, 43, 4909, 21283, 47417, 57301, 59951, 72647, 98713, 132623, 135841, 149101, 153371, 285463, 343489, 355519, 360823, 375101, 396997, 405901, 447197, 452377, 458797, 501173, 532379, 557153, 605947, 610199, 614071, 616079, 627901, 644051, 656141, 668417

Offset: 1

Author

Vladimir Shevelev, Jul 05 2013

Keywords

• nonn

Links

• Peter J. C. Moses, Table of n, a(n) for n = 1..2000

Crossrefs

Cf. A226770, A227129, A227276.

Programs

Mathematica

Select[Prime[Range[10000]],And@@PrimeQ[#1+{#2,#2^2,#2^3}]&[#^4-1,#]&] (* Peter J. C. Moses, Jul 05 2013 *)
Select[Prime[Range[60000]],AllTrue[#^4-1+#^Range[3],PrimeQ]&] (* Harvey P. Dale, Mar 26 2023 *)

Formula

A226770(a^4(n) - 1) = 3.

Extensions

More terms from Peter J. C. Moses