A142023 Primes congruent to 19 mod 31.
19, 577, 701, 887, 1259, 1321, 1693, 1879, 2003, 2251, 2437, 3119, 3181, 3491, 3677, 3739, 3863, 4049, 4111, 4297, 4421, 4483, 4793, 5227, 5351, 5413, 6343, 6529, 6653, 7211, 7459, 7583, 8017, 8389, 8513, 8699, 8761, 9133, 9257, 9319, 9629, 10559, 10993
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 19 ]; // Vincenzo Librandi, Aug 27 2012
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Mathematica
Select[Range[19,20000,31],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 30 2011 *)
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PARI
is(n)=isprime(n) && n%31==19 \\ Charles R Greathouse IV, Jul 02 2016
Formula
a(n) ~ 30n log n. - Charles R Greathouse IV, Jul 02 2016