A101315 Primes p such that p+2, p^2 - 2p + 2, and p^2 - 2p + 4 are all prime.

3, 5, 11, 431, 1877, 2081, 3851, 9437, 10427, 11351, 12821, 14561, 20147, 26861, 30137, 30851, 37571, 38711, 38921, 40637, 46817, 59357, 73361, 116687, 120941, 125507, 127817, 138371, 144407, 153521, 173021, 177011, 178091, 178817, 185567

Offset

1,1

Links

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Formula

a(n) >> n log^4 n. - Charles R Greathouse IV, Jan 14 2017

Example

a(3)=11: 11+2=13, (11-1)^2+1=101 and (11-1)^2+1+2=103 are primes.

Prog

(PARI) is(n)=isprime(n) && isprime(n+2) && isprime(n^2-2*n+2) && isprime(n^2-2*n+4) \\ Charles R Greathouse IV, Jan 14 2017

Crossrefs

Sequence in context: A357055 A079037 A281087 * A343738 A066541 A279728

Adjacent sequences: A101312 A101313 A101314 * A101316 A101317 A101318

Keyword

nonn

Author

Ray G. Opao, Dec 23 2004

Extensions

New name from Charles R Greathouse IV, Jan 14 2017

Status

approved