A142027 Primes congruent to 23 mod 31.
23, 271, 457, 643, 829, 953, 1201, 1511, 1697, 1759, 2069, 2131, 2441, 2503, 2689, 2999, 3061, 3371, 3433, 3557, 3929, 4177, 4363, 4549, 4673, 5107, 5231, 5417, 5479, 5851, 6037, 6719, 6781, 6967, 7649, 8269, 8641, 8951, 9013, 9137, 9199, 9323, 10067, 10253
Offset: 1
Links
- Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Programs
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Magma
[p: p in PrimesUpTo(12000) | p mod 31 eq 23 ]; // Vincenzo Librandi, Aug 17 2012
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Mathematica
Select[Range[23,20000,31],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 30 2011 *) Select[Prime[Range[1300]],Mod[#,31]==23&] (* Harvey P. Dale, Sep 05 2023 *)
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PARI
is(n)=isprime(n) && n%31==23 \\ Charles R Greathouse IV, Jul 02 2016
Formula
a(n) ~ 30n log n. - Charles R Greathouse IV, Jul 02 2016