A142402 - OEIS

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A142402

Primes congruent to 13 mod 48.

13, 61, 109, 157, 349, 397, 541, 733, 829, 877, 1021, 1069, 1117, 1213, 1453, 1549, 1597, 1693, 1741, 1789, 1933, 2029, 2221, 2269, 2557, 2749, 2797, 3037, 3181, 3229, 3373, 3469, 3517, 3613, 3709, 3853, 4093, 4621, 4813, 4861, 4909, 4957, 5101, 5197, 5437

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

MATHEMATICA

Select[Prime[Range[1700]], MemberQ[{13}, Mod[#, 48]] &] (* Vincenzo Librandi, Aug 27 2012 *)

PROG

(Magma) [p: p in PrimesUpTo(6000) | p mod 48 eq 13]; // Vincenzo Librandi, Aug 27 2012

(PARI) is(n)=isprime(n) && n%48==13 \\ Charles R Greathouse IV, Jul 03 2016