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

Author

Ray G. Opao, Dec 23 2004

Keywords

• nonn

Examples

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

Links

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

Programs

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

Formula

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

Extensions

New name from Charles R Greathouse IV, Jan 14 2017