A142858 Primes congruent to 60 mod 61.

487, 853, 1097, 1951, 2683, 2927, 3049, 3659, 4391, 4513, 6221, 6343, 6709, 8539, 8783, 10247, 10369, 10613, 10979, 11467, 11833, 12809, 13297, 13907, 14029, 14639, 15493, 15737, 15859, 16103, 18787, 19031, 19763, 20129, 20983, 21227, 22447, 22691, 23057

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, A142322.

Programs

Magma

[p: p in PrimesUpTo(24000) | p mod 61 eq 60 ] ; // Vincenzo Librandi, Sep 06 2012

Mathematica

Select[Range[60, 30000, 61], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jul 14 2011 *)
Select[Prime[Range[2800]], MemberQ[{60}, Mod[#, 61]] &] (* Vincenzo Librandi, Sep 06 2012 *)

PARI

is(n)=isprime(n) && n%61==60 \\ Charles R Greathouse IV, Jul 03 2016

Formula

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