A142740 Primes congruent to 13 mod 59.
13, 131, 367, 839, 1193, 1429, 1783, 1901, 2137, 2609, 2963, 3671, 3907, 4261, 4733, 4969, 5087, 5323, 5441, 6857, 7211, 7919, 8273, 8627, 8863, 9689, 10987, 11813, 12049, 12757, 13229, 14173, 16061, 16651, 17123, 17359, 17477, 17713, 18539, 19483, 20663
Offset: 1
Links
- Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Programs
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Magma
[p: p in PrimesUpTo(21000) | p mod 59 eq 13 ]; // Vincenzo Librandi, Sep 02 2012
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Mathematica
Select[Range[13, 30000, 118], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jul 15 2011 *) Select[Prime[Range[2500]], MemberQ[{13}, Mod[#, 59]] &] (* Vincenzo Librandi, Sep 02 2012 *)
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PARI
is(n)=isprime(n) && n%59==13 \\ Charles R Greathouse IV, Jul 02 2016
Formula
a(n) ~ 58n log n. - Charles R Greathouse IV, Jul 02 2016