A142746 Primes congruent to 19 mod 59.

19, 137, 373, 491, 727, 1553, 1789, 1907, 2143, 2851, 2969, 3323, 3559, 3677, 4621, 5683, 5801, 6037, 6863, 8161, 9341, 9931, 10639, 10993, 11701, 12409, 12527, 12763, 14533, 14887, 15241, 15359, 16067, 16421, 16657, 17011, 17483, 17837, 18191, 18427, 18899

Offset

1,1

Links

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

Formula

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

Mathematica

Select[Range[19, 30000, 118], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jul 15 2011 *)
Select[Prime[Range[2300]], MemberQ[{19}, Mod[#, 59]] &] (* Vincenzo Librandi, Sep 03 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(19000) | p mod 59 eq 19 ]; // Vincenzo Librandi, Sep 03 2012
(PARI) is(n)=isprime(n) && n%59==19 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040, A142742, A142744.

Sequence in context: A101090 A213122 A211092 * A221226 A139902 A140624

Adjacent sequences: A142743 A142744 A142745 * A142747 A142748 A142749

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved