A142537 Primes congruent to 7 mod 53.

7, 113, 431, 643, 1279, 1597, 2339, 2551, 2657, 3187, 3823, 3929, 5413, 5519, 6367, 6473, 6791, 7109, 7321, 7639, 8699, 9547, 10289, 10501, 10607, 11243, 12197, 12409, 13151, 13469, 13681, 13999, 14423, 14741, 15271, 15377, 15907, 16649, 17497, 17921, 18133

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 03 2016

Mathematica

Select[Prime[Range[2600]], MemberQ[{7}, Mod[#, 53]] &] (* Vincenzo Librandi, Aug 29 2012 *)
Select[Range[7, 20000, 53], PrimeQ] (* Harvey P. Dale, Feb 27 2023 *)

Prog

(Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 7]; // Vincenzo Librandi, Aug 29 2012
(PARI) is(n)=isprime(n) && n%53==7 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A270121 A079296 A081531 * A084974 A156240 A152927

Adjacent sequences: A142534 A142535 A142536 * A142538 A142539 A142540

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved