A212492 Prime p such that p, p+10, p+12 are all primes.

7, 19, 31, 61, 97, 127, 139, 181, 229, 271, 337, 409, 421, 607, 631, 811, 1009, 1021, 1039, 1051, 1279, 1291, 1471, 1597, 1609, 1657, 1777, 1861, 1867, 1987, 2017, 2131, 2371, 2539, 2647, 2677, 2719, 2791, 3109, 3319, 3361, 3457, 3517, 3529, 3547, 3571, 3907

Offset: 1

Author

Salvatore Di Guida, May 18 2012

Keywords

• nonn

Comments

All terms are congruent to 1 (mod 6). - Zak Seidov, Oct 28 2021

Links

• Salvatore Di Guida, Table of n, a(n) for n = 1..85

Programs

Mathematica

Select[Range[5000], PrimeQ[#] && PrimeQ[#+10] && PrimeQ[#+12] &] (* T. D. Noe, May 18 2012 *)

Python

from sympy import isprime, primerange
def ok(p): return isprime(p+10) and isprime(p+12)
print(list(filter(ok, primerange(1, 3910)))) # Michael S. Branicky, Oct 28 2021