A282378 Primes of the form (p^2 + q^2)/2 such that (p^4 + q^4)/2 is prime, where p and q are primes.

17, 89, 97, 149, 157, 229, 241, 769, 937, 1109, 1117, 1129, 1249, 1549, 1753, 2161, 2221, 2389, 3301, 3769, 4129, 4261, 4801, 4909, 5113, 5449, 5569, 5869, 6121, 6469, 7369, 7621, 7681, 8089, 8329, 8389, 8761, 9649, 10009, 10429, 11161, 11941, 12241, 12409

Offset

1,1

Links

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

Prog

(PARI) list(lim)=my(v=List(), p2, p4, t); lim\=1; if(lim<9, lim=9); forprime(p=3, sqrtint(2*lim-9), p2=p^2; p4=p2^2; forprime(q=3, min(sqrtint(2*lim-p2), p), if(isprime(t=(p2+q^2)/2) && isprime((p4+q^4)/2), listput(v, t)))); Set(v) \\ Charles R Greathouse IV, Feb 14 2017

Crossrefs

Subsequence of A103739.

Sequence in context: A033654 A320872 A276318 * A248400 A139947 A162930

Adjacent sequences: A282375 A282376 A282377 * A282379 A282380 A282381

Keyword

nonn

Author

Thomas Ordowski and Altug Alkan, Feb 13 2017

Extensions

More terms from Arkadiusz Wesolowski, Feb 13 2017

Status

approved