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A142533 Primes congruent to 3 mod 53. 1
3, 109, 1063, 1381, 1487, 1699, 2017, 2441, 2971, 3607, 4243, 4349, 4561, 5197, 5303, 5939, 6151, 6257, 6469, 7211, 7529, 7741, 8059, 8377, 9013, 9437, 9649, 9967, 10391, 10709, 11027, 11239, 11981, 12511, 12829, 13147, 14207, 14419, 14737, 14843, 15161 (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[10000]], Mod[#, 53]==3&]  (* Harvey P. Dale, Mar 20 2011 *)

Select[Prime[Range[2100]], MemberQ[{3}, Mod[#, 53]] &] (* Vincenzo Librandi, Aug 29 2012 *)

PROG

(MAGMA) [p: p in PrimesUpTo(16000) | p mod 53 eq 3]; // Vincenzo Librandi, Aug 29 2012

(PARI) is(n)=isprime(n) && n%53==3 \\ Charles R Greathouse IV, Jul 03 2016

CROSSREFS

Cf. A000040.

Sequence in context: A053861 A041635 A272572 * A089904 A092252 A201001

Adjacent sequences:  A142530 A142531 A142532 * A142534 A142535 A142536

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Jul 11 2008

STATUS

approved

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Last modified October 16 15:51 EDT 2019. Contains 328101 sequences. (Running on oeis4.)