A106068 Primes p such that 3p + 4 and 4p + 3 are primes.

5, 11, 19, 31, 41, 59, 89, 109, 151, 179, 181, 229, 241, 331, 349, 389, 439, 509, 521, 599, 661, 719, 769, 839, 881, 929, 1019, 1039, 1129, 1229, 1291, 1409, 1451, 1481, 1549, 1669, 1741, 1759, 1801, 1811, 2111, 2131, 2539, 2621, 2671, 2699, 2819, 2879

Offset: 1

Author

Zak Seidov, May 07 2005

Keywords

• nonn

Comments

Prime terms in A124855.

Links

• Marius A. Burtea, Table of n, a(n) for n = 1..534

Crossrefs

Cf. A034936, A095278, A124855.

Programs

Magma

[p: p in PrimesUpTo(5000)|IsPrime(3*p+4) and IsPrime(4*p+3)] // Vincenzo Librandi, Jan 30 2011

Mathematica

Select[Prime[Range[450]], PrimeQ[4#+3]&&PrimeQ[3#+4]&]

PARI

isok(p) = isprime(p) && isprime(3*p+4) && isprime(4*p+3); \\ Michel Marcus, Oct 12 2018

Extensions

Extended by Ray Chandler, Mar 14 2007