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A163571
Primes p such that p^8-8 is also prime.
1
3, 7, 19, 73, 101, 107, 263, 353, 359, 443, 521, 523, 557, 613, 733, 829, 1033, 1097, 1103, 1109, 1129, 1283, 1307, 1601, 1613, 1699, 1811, 1949, 2111, 2237, 2293, 2333, 2459, 2551, 2777, 2917, 3517, 3593, 3631, 3637, 4127, 4133, 4211, 4349, 4483, 4643
OFFSET
1,1
LINKS
EXAMPLE
For p=3, 3^8-8=6553 is prime, which adds 3 to the sequence.
For p=7, 7^8-8=5764793 is prime, which adds 7 to the sequence.
MATHEMATICA
lst={}; Do[p=Prime[n]; If[PrimeQ[p^8-8], AppendTo[lst, p]], {n, 7!}]; lst
Select[Prime[Range[800]], PrimeQ[(#^8 - 8)]&] (* Vincenzo Librandi, Apr 15 2013 *)
PROG
(Magma) [p: p in PrimesUpTo(5000) | IsPrime(p^8-8)]; // Vincenzo Librandi, Apr 15 2013
(PARI) for(n=1, 500, m=prime(n); if(isprime(m^8 -8), print1(m, ", "))) \\ G. C. Greubel, Jul 28 2017
CROSSREFS
Cf. A163570.
Sequence in context: A341323 A135741 A328159 * A217611 A322852 A243583
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
Mathematica code corrected by R. J. Mathar, Aug 01 2009
STATUS
approved