A347165 - OEIS

A347165

Primes p such that 2*p-1 and (2*p-1)^2+(2*p)^2 are also prime.

3, 79, 379, 829, 1279, 2029, 3019, 3109, 3529, 3709, 5479, 5749, 6379, 6709, 7219, 7369, 8689, 11839, 12049, 13219, 13729, 14029, 14419, 15319, 15349, 16189, 17659, 18229, 18439, 20809, 24979, 25819, 26539, 28549, 30859, 32119, 32359, 32779, 33739, 34729, 37039, 38569, 39079, 39679, 44119, 44449

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OFFSET

1,1

COMMENTS

Except for 3, all terms end in 9.

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

EXAMPLE

a(3) = 379 is a term because 379, 2*379-1 = 757 and (2*379-1)^2+(2*379)^2 = 1147613 are prime.

MAPLE

filter:= proc(p) isprime(p) and isprime(2*p-1) and isprime(8*p^2-4*p+1) end proc:

select(filter, [3, seq(i, i=9..50000, 10)]);