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

Author

Thomas Ordowski and Altug Alkan, Feb 13 2017

Keywords

• nonn

Links

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

Crossrefs

Subsequence of A103739.

Programs

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

Extensions

More terms from Arkadiusz Wesolowski, Feb 13 2017