A142755 Primes congruent to 28 mod 59.

677, 1031, 1621, 2447, 2683, 2801, 3037, 3391, 3863, 4099, 4217, 5279, 5869, 5987, 6577, 7639, 7757, 7993, 8111, 8819, 9173, 10589, 11887, 12241, 12713, 13421, 14011, 15073, 15427, 16253, 16607, 16843, 17551, 17669, 18731, 19793, 20029, 20147, 21563, 21799

Offset: 1

Author

N. J. A. Sloane, Jul 11 2008

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A000040, A144562.

Programs

Magma

[p: p in PrimesUpTo(22000) | p mod 59 eq 28 ]; // Vincenzo Librandi, Sep 03 2012

Mathematica

Select[59*Range[400]+28,PrimeQ] (* Harvey P. Dale, Jul 19 2011 *)
Select[Prime[Range[2600]], MemberQ[{28}, Mod[#, 59]] &] (* Vincenzo Librandi, Sep 03 2012 *)

PARI

is(n)=isprime(n) && n%59==28 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 58n log n. - Charles R Greathouse IV, Jul 03 2016