A176960 Primes p such that p^2 - 8, p^2 - 6 and p^2 - 2 are prime.

5, 7, 467, 4373, 5987, 11933, 13463, 13907, 14747, 19843, 20407, 22307, 24677, 36563, 37693, 40213, 41603, 42397, 43003, 44203, 56747, 58963, 66047, 66173, 87407, 91033, 98597, 98873, 101183, 115523, 122323, 124703, 126107, 139333

Offset

1,1

Comments

[In French: "avorteurs de quadruplets".]

p*p is the lonely composite number in quadruplet (10k+1, 10k+3, 10k+7, 10k+9). Necessary: p^2 = 10k + 9.

Links

Table of n, a(n) for n=1..34.

Mathematica

Select[Prime[Range[13000]], AllTrue[#^2-{2, 6, 8}, PrimeQ]&] (* Harvey P. Dale, Oct 23 2024 *)

Prog

(Magma) [p: p in PrimesUpTo(1000000)| IsPrime(p^2-8) and IsPrime(p^2-6) and IsPrime (p^2-2)]; // Vincenzo Librandi, Aug 06 2010

Crossrefs

Sequence in context: A344361 A159019 A059394 * A114368 A260830 A260827

Adjacent sequences: A176957 A176958 A176959 * A176961 A176962 A176963

Keyword

nonn

Author

Alain MAROT (marot.alain(AT)orange.fr), Apr 29 2010

Extensions

Corrected (5 inserted) and extended by Vincenzo Librandi, Aug 06 2010

Status

approved