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A142543 Primes congruent to 13 mod 53. 1
13, 331, 967, 1709, 2027, 2239, 2557, 2663, 3299, 3511, 3617, 4253, 4783, 4889, 5101, 5419, 5737, 5843, 6373, 6691, 7433, 7963, 8069, 8387, 8599, 9341, 9871, 10613, 11779, 12097, 12203, 13687, 14323, 14747, 15277, 15383, 15913, 16231, 17291, 17609, 18457 (list; graph; refs; listen; history; text; internal format)
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[{13}, Mod[#, 53]] &] (* Vincenzo Librandi, Aug 29 2012 *)

Select[Range[13, 20000, 53], PrimeQ] (* Harvey P. Dale, Aug 04 2021 *)

PROG

(MAGMA) [p: p in PrimesUpTo(20000) | p mod 53 eq 13]; // Vincenzo Librandi, Aug 29 2012

(PARI) is(n)=isprime(n) && n%53==13 \\ Charles R Greathouse IV, Jul 03 2016

CROSSREFS

Cf. A000040.

Sequence in context: A183440 A296018 A348087 * A258297 A266902 A029807

Adjacent sequences:  A142540 A142541 A142542 * A142544 A142545 A142546

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Jul 11 2008

STATUS

approved

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Last modified January 20 16:27 EST 2022. Contains 350472 sequences. (Running on oeis4.)