A118942 Primes p such that (p^2-13)/12 is prime.

7, 13, 17, 19, 23, 31, 37, 41, 53, 67, 71, 73, 89, 103, 107, 113, 131, 139, 157, 163, 181, 199, 211, 233, 239, 257, 269, 283, 307, 311, 337, 359, 373, 379, 401, 419, 463, 487, 491, 499, 509, 521, 577, 593, 607, 617, 631, 647, 653, 683, 701, 733, 761, 769, 787

Offset

1,1

Comments

For all primes q>3, we have q=6k+-1 for some k, which makes it easy to show that 12 divides q^2-13. Similar sequences, with p and (p^2+a)/b both prime, are A048161, A062324, A062326, A062718, A109953, A110589, A118915, A118918, A118939, A118940 and A118941.

Links

Table of n, a(n) for n=1..55.

Mathematica

Select[Prime[Range[200]], PrimeQ[(#^2-13)/12]&]

Crossrefs

Sequence in context: A158813 A144426 A233518 * A067656 A166602 A079697

Adjacent sequences: A118939 A118940 A118941 * A118943 A118944 A118945

Keyword

nonn

Author

T. D. Noe, May 06 2006

Status

approved