A142405 Primes congruent to 23 mod 48.

23, 71, 167, 263, 311, 359, 503, 599, 647, 743, 839, 887, 983, 1031, 1223, 1319, 1367, 1511, 1559, 1607, 1847, 2039, 2087, 2423, 2663, 2711, 2903, 2999, 3191, 3527, 3623, 3671, 3719, 3767, 3863, 3911, 4007, 4391, 4583, 4679, 4871, 4919, 4967, 5303, 5351

Offset: 1

Author

N. J. A. Sloane, Jul 11 2008

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A000040.

Programs

Magma

[p: p in PrimesUpTo(6000) | p mod 48 eq 23]; // Vincenzo Librandi, Aug 27 2012

Mathematica

Select[Prime[Range[1000]], MemberQ[{23}, Mod[#, 48]] &] (* Vincenzo Librandi, Aug 27 2012 *)
Select[Range[23,6000,48],PrimeQ] (* Harvey P. Dale, Aug 10 2024 *)

PARI

is(n)=isprime(n) && n%48==23 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 16n log n. - Charles R Greathouse IV, Jul 03 2016