A106067 Primes p such that 3*p + 2 and 2*p + 3 are primes.

5, 7, 13, 17, 19, 29, 43, 89, 97, 127, 139, 167, 173, 197, 199, 227, 269, 337, 349, 353, 383, 397, 409, 439, 503, 523, 607, 643, 659, 797, 859, 887, 929, 1013, 1039, 1063, 1069, 1109, 1153, 1193, 1259, 1277, 1303, 1307, 1427, 1429, 1483, 1559, 1567, 1583

Offset: 1

Author

Zak Seidov, May 07 2005

Keywords

• nonn

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000 (terms 1..1000 from Zak Seidov)

Crossrefs

Intersection of A023204 and A023208.

Programs

Magma

[p: p in PrimesUpTo(10000)| IsPrime(3*p+2) and IsPrime(2*p+3)]; // Vincenzo Librandi, Nov 13 2010

Mathematica

Select[Prime[Range[20000]], PrimeQ[2#+3]&&PrimeQ[3#+2]&]

PARI

is(p) = isprime(p) && isprime(3*p+2) && isprime(2*p+3); \\ Amiram Eldar, Nov 08 2024