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A163570 Primes p such that p^6-6 is also prime. 2
5, 7, 17, 37, 113, 137, 157, 173, 223, 227, 337, 487, 503, 617, 743, 797, 857, 863, 877, 947, 1103, 1217, 1277, 1453, 1483, 1663, 1693, 1747, 1933, 2557, 2683, 2833, 2837, 2843, 3067, 3167, 3373, 3457, 3583, 3593, 3823, 4013, 4483, 4943, 4987, 5527, 5843 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

EXAMPLE

5^6-6=15619 = A000040(1821) puts p=5 into the sequence.

7^6-6=117643 = A000040(11098) puts p=7 into the sequence.

MATHEMATICA

lst={}; Do[p=Prime[n]; If[PrimeQ[p^6-6], AppendTo[lst, p]], {n, 2*7!}]; lst

Select[Prime[Range[1000]], PrimeQ[(#^6 - 6)]&] (* Vincenzo Librandi, Apr 15 2013 *)

PROG

(MAGMA) [p: p in PrimesUpTo(6000) | IsPrime(p^6-6)]; // Vincenzo Librandi, Apr 15 2013

(PARI) for(n=1, 500, m=prime(n); if(isprime(m^6 -6), print1(m, ", "))) \\ G. C. Greubel, Jul 28 2017

CROSSREFS

Sequence in context: A243400 A318568 A239414 * A113282 A323200 A096741

Adjacent sequences:  A163567 A163568 A163569 * A163571 A163572 A163573

KEYWORD

nonn,easy

AUTHOR

Vladimir Joseph Stephan Orlovsky, Jul 31 2009

EXTENSIONS

Comment moved to the examples by R. J. Mathar, Oct 21 2009

STATUS

approved

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Last modified December 11 12:33 EST 2019. Contains 329916 sequences. (Running on oeis4.)