A182313 Primes of form a^2+b^2 such that a^4+b^4 and a^8+b^8 are primes.

2, 5, 17, 1277, 2129, 3413, 4157, 4637, 7481, 7573, 7717, 14561, 15233, 19469, 19889, 20549, 20693, 20749, 22721, 23609, 23869, 24841, 27701, 29629, 31153, 35869, 41081, 42209, 42577, 44417, 45233, 46061, 51613, 51713, 52069, 53197, 54493, 55589, 55921, 56489

Offset

1,1

Links

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

Prog

(PARI) list(lim)=my(v=List([2]), t); for(a=1, sqrt(lim), forstep(b=1+a%2, min(a, sqrt(lim-a^2)), 2, if(isprime(t=a^2+b^2) && isprime(a^4+b^4) && isprime(a^8+b^8), listput(v, t)))); vecsort(Vec(v)) \\ Charles R Greathouse IV, Apr 24 2012

Crossrefs

Subsequence of A182198.

Sequence in context: A161469 A342606 A281312 * A124374 A113617 A226069

Adjacent sequences: A182310 A182311 A182312 * A182314 A182315 A182316

Keyword

nonn

Author

Thomas Ordowski, Apr 24 2012

Extensions

a(4)-a(40) from Charles R Greathouse IV, Apr 24 2012

Status

approved