A157256 Primes p such that both p^5 - 6 and p^5 + 6 are prime.

1087, 3253, 4993, 9277, 11807, 14717, 15073, 17033, 20627, 24197, 26953, 29753, 31883, 33023, 33637, 36473, 38113, 40387, 40897, 41843, 43403, 52057, 58153, 62473, 66587, 67967, 70537, 83983, 99173, 99713, 102023, 108287, 117673, 124247

Offset

1,1

Links

David A. Corneth, Table of n, a(n) for n = 1..4502

Example

1087 is a term as 1087 is prime, 1087^5 - 6 = 1517566463014201 is prime and 1087^5 + 6 = 1517566463014213 is prime.

Mathematica

q=5; lst={}; Do[p=Prime[n]; If[PrimeQ[p^q-q-1]&&PrimeQ[p^q+q+1], AppendTo[lst, p]], {n, 5*7!}]; lst
Select[Prime[Range[12000]], AllTrue[#^5+{6, -6}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Oct 04 2019 *)

Prog

(PARI) is(n) = isprime(n) && isprime(n^5 - 6) && isprime(n^5 + 6) \\ David A. Corneth, Oct 04 2019

Crossrefs

Sequence in context: A010091 A206630 A191944 * A223429 A168661 A175698

Adjacent sequences: A157253 A157254 A157255 * A157257 A157258 A157259

Keyword

nonn,less

Author

Vladimir Joseph Stephan Orlovsky, Feb 26 2009

Extensions

Edited by David A. Corneth, Oct 04 2019

Status

approved