A142800 Primes congruent to 2 mod 61.

2, 307, 673, 1039, 1283, 2137, 2381, 2503, 3967, 4211, 4943, 5309, 5431, 6163, 6529, 7993, 8237, 8969, 9091, 10067, 10433, 10799, 11287, 11897, 12263, 14947, 15313, 15679, 15923, 16411, 17021, 17387, 17509, 18119, 18973, 19583, 19949, 20071, 20681, 21169

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.

Programs

Magma

[p: p in PrimesUpTo(22000) | p mod 61 eq 2 ]; // Vincenzo Librandi, Sep 04 2012

Mathematica

Select[Prime[Range[2800]], MemberQ[{2}, Mod[#, 61]] &] (* Vincenzo Librandi, Sep 04 2012 *)
Select[Range[2,22000,61],PrimeQ] (* Harvey P. Dale, May 19 2017 *)

PARI

is(n)=isprime(n) && n%61==2 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 60n log n. - Charles R Greathouse IV, Jul 03 2016