A142574 Primes congruent to 44 mod 53.

97, 521, 733, 839, 1051, 2111, 3701, 4019, 4231, 4337, 4549, 4973, 5503, 5821, 5927, 6563, 7411, 7517, 9001, 9319, 9743, 10061, 10273, 10909, 11863, 11969, 12923, 13241, 13877, 14407, 14831, 15149, 15361, 15467, 15679, 16103, 16421, 16633, 18223, 18329

Offset

1,1

Links

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

Formula

a(n) ~ 52n log n. - Charles R Greathouse IV, Jul 04 2016

Mathematica

Select[Prime[Range[2600]], MemberQ[{44}, Mod[#, 53]] &] (* Vincenzo Librandi, Aug 30 2012 *)
Select[Range[44, 20000, 53], PrimeQ] (* Harvey P. Dale, Dec 20 2016 *)

Prog

(Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 44]; // Vincenzo Librandi, Aug 30 2012
(PARI) is(n)=isprime(n) && n%53==44 \\ Charles R Greathouse IV, Jul 04 2016

Crossrefs

Cf. A000040.

Sequence in context: A142834 A361678 A125646 * A204710 A142765 A144130

Adjacent sequences: A142571 A142572 A142573 * A142575 A142576 A142577

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved