A105610 Numbers k such that both p1=2k+3 and p2=4k+5 are primes.

0, 2, 8, 14, 17, 38, 47, 68, 77, 98, 104, 113, 134, 152, 164, 167, 182, 188, 218, 248, 272, 287, 299, 302, 308, 329, 344, 362, 404, 413, 437, 467, 482, 497, 503, 533, 584, 617, 638, 647, 698, 713, 728, 764, 803, 812, 827, 878, 932, 1004, 1013, 1043, 1064, 1067

Offset: 1

Author

Zak Seidov, Apr 15 2005

Keywords

• nonn

Comments

p1 in A005382, p2 in A005383.

Links

• Karl-Heinz Hofmann, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A005382, A005383.

Equals A123998 minus 1.

Programs

Mathematica

Select[Range[0,1067], PrimeQ[2#+3]&&PrimeQ[4#+5]&] (* James C. McMahon, Jan 26 2024 *)

Python

from sympy import isprime
print([ k for k in range(0,1068) if isprime(2*k+3) and isprime(4*k+5)])
# Karl-Heinz Hofmann, Jan 27 2024