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A142333

Primes congruent to 41 mod 45.

41, 131, 311, 401, 491, 761, 941, 1031, 1301, 1481, 1571, 1931, 2111, 2381, 2741, 3011, 3191, 3371, 3461, 3821, 3911, 4001, 4091, 4271, 4451, 4721, 5081, 5171, 5261, 5351, 5441, 5531, 5711, 5801, 5981, 6521, 6701, 6791, 6971, 7151, 7331, 7691, 8231, 8501

(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) ~ 24n log n. - Charles R Greathouse IV, Jul 03 2016

MATHEMATICA

Select[Prime[Range[1200]], MemberQ[{41}, Mod[#, 45]]&] (* Vincenzo Librandi, Aug 26 2012 *)

PROG

(Magma) [p: p in PrimesUpTo(10000) | p mod 45 eq 41]; // Vincenzo Librandi, Aug 26 2012

(PARI) is(n)=isprime(n) && n%45==41 \\ Charles R Greathouse IV, Jul 03 2016