A142212 Primes congruent to 15 mod 41.
97, 179, 1163, 1327, 1409, 1901, 2311, 2393, 2557, 2803, 3049, 3541, 3623, 5099, 5591, 6247, 6329, 7477, 7559, 7723, 8297, 8461, 8543, 8707, 9199, 9281, 10429, 11003, 11987, 12479, 12889, 13217, 13381, 13463, 13627, 13709, 13873, 14447, 14939, 15349, 15923
Offset: 1
Links
- Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Programs
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Magma
[p: p in PrimesUpTo(16000) | p mod 41 eq 15 ]; // Vincenzo Librandi, Aug 23 2012
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Mathematica
Select[Range[15,30000,41],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, May 17 2011 *) Select[Prime[Range[5000]],MemberQ[{15},Mod[#,41]]&] (* Vincenzo Librandi, Aug 23 2012 *)
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PARI
is(n)=isprime(n) && n%41==15 \\ Charles R Greathouse IV, Jul 02 2016
Formula
a(n) ~ 40n log n. - Charles R Greathouse IV, Jul 02 2016