A242979 Primes p such that p^3-2 and p^2-2 are both primes.

19, 37, 211, 727, 2287, 4507, 4951, 5857, 6217, 6337, 7237, 8329, 8629, 8941, 9127, 9319, 9721, 11467, 12109, 13411, 13831, 15331, 15661, 17029, 17971, 17989, 19489, 21169, 23431, 24439, 24907, 25849, 26161, 31387, 33151, 34039, 34897, 36451, 37441, 37879

Offset

1,1

Comments

Intersection of A062326 and A178251.

Links

K. D. Bajpai, Table of n, a(n) for n = 1..10000

Example

19 is prime and appears in the sequence because [19^3-2 = 6857] and [19^2-2 = 359] are both primes.
37 is prime and appears in the sequence because [37^3-2 = 50651] and [37^2-2 = 1367] are both primes.

Maple

with(numtheory):A242979:= proc() local p; p:=ithprime(n); if isprime(p^3-2) and isprime(p^2-2)then RETURN (p); fi; end: seq( A242979 (), n=1..5000);

Mathematica

c = 0; t=Prime[n]; Do[If[PrimeQ[t^3 - 2] && PrimeQ[t^2 - 2], c++; Print[c, "  ", t]], {n, 1, 3*10^6}];

Crossrefs

Cf. A000040, A001248, A030078, A062326, A178251.

Sequence in context: A053685 A244111 A136063 * A244931 A350469 A111441

Adjacent sequences: A242976 A242977 A242978 * A242980 A242981 A242982

Keyword

nonn

Author

K. D. Bajpai, May 28 2014

Status

approved