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

1,2

Comments

p1 in A005382, p2 in A005383.

Links

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

Mathematica

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

Prog

(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

Crossrefs

Cf. A005382, A005383.

Equals A123998 minus 1.

Sequence in context: A050619 A056715 A160556 * A324691 A117104 A082933

Adjacent sequences: A105607 A105608 A105609 * A105611 A105612 A105613

Keyword

nonn

Author

Zak Seidov, Apr 15 2005

Status

approved