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

1,1

Links

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

Formula

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

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 *)

Crossrefs

Cf. A226770, A227129, A227276.

Sequence in context: A280005 A235626 A164133 * A301395 A206776 A275556

Adjacent sequences: A226935 A226936 A226937 * A226939 A226940 A226941

Keyword

nonn

Author

Vladimir Shevelev, Jul 05 2013

Extensions

More terms from Peter J. C. Moses

Status

approved