A122482 Primes p such that 1 + 4p + 12p^2 is prime.

7, 13, 19, 31, 79, 127, 139, 181, 199, 241, 271, 313, 337, 349, 373, 457, 523, 577, 643, 691, 727, 769, 787, 823, 907, 991, 1051, 1129, 1231, 1447, 1567, 1627, 1723, 1759, 1783, 1861, 1879, 1987, 1993, 2053, 2251, 2287, 2371, 2437, 2473, 2539, 2593, 2659

Offset: 1

Author

Zak Seidov, Oct 20 2006

Keywords

• nonn

Comments

Primes p such that 2*p is in A086285 (Numbers n such that 1+2n+3n^2 is prime).

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A086285.

Programs

Magma

[ p: p in PrimesUpTo(5000) | IsPrime(1+4*p+12*p^2)] // Vincenzo Librandi, Jan 26 2011

Mathematica

Select[Prime[Range[400]],PrimeQ[1+4#+12#^2]&] (* Harvey P. Dale, Mar 11 2022 *)