A153014 Primes p such that p^2-2 and p^2-2p+2 are also prime.

2, 3, 5, 7, 37, 127, 131, 211, 257, 421, 467, 491, 751, 761, 1307, 1321, 1367, 1567, 1861, 2081, 2087, 2137, 2287, 2381, 2647, 2707, 2837, 2897, 3221, 3851, 3911, 3947, 4957, 5087, 5501, 5711, 5857, 6011, 6217, 6221, 6361, 6637, 6911, 8707, 8941, 9127

Offset

1,1

Comments

Subsequence of A062326.

Links

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

Example

For p = 2, p^2-2 = 2 and p^2-2p+2 = 2; for prime p = 491, p^2-2 = 241079 is prime and p^2-2p+2 = 240101 is prime.

Mathematica

Select[Prime[Range[1500]], PrimeQ[#^2 - 2] && PrimeQ[#^2 - 2 # + 2] &]  (* Harvey P. Dale, Apr 21 2011 *)

Prog

(Magma) [p: p in PrimesUpTo(9200) | IsPrime(p^2-2) and IsPrime(p^2-2*p+2)];

Crossrefs

Cf. A062326 (primes p such that p^2-2 is also prime).

Sequence in context: A117639 A202263 A352023 * A100891 A051857 A050654

Adjacent sequences: A153011 A153012 A153013 * A153015 A153016 A153017

Keyword

nonn,easy

Author

Vincenzo Librandi, Dec 31 2008

Extensions

Edited, corrected (257 inserted) and extended beyond a(13) by Klaus Brockhaus, Jan 01 2009

Status

approved