A142111 Primes congruent to 35 mod 36.

71, 107, 179, 251, 359, 431, 467, 503, 647, 683, 719, 827, 863, 971, 1151, 1187, 1223, 1259, 1367, 1439, 1511, 1583, 1619, 1871, 1907, 1979, 2087, 2267, 2339, 2411, 2447, 2591, 2663, 2699, 2843, 2879, 3023, 3167, 3203, 3347, 3491, 3527, 3671, 3779, 3851

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(5000) | p mod 36 eq 35 ]; // Vincenzo Librandi, Aug 19 2012

Mathematica

Select[Prime[Range[1500]],MemberQ[{35},Mod[#,36]]&] (* Vincenzo Librandi, Aug 19 2012 *)
Select[Range[35,4000,36],PrimeQ] (* Harvey P. Dale, Dec 25 2017 *)

PARI

is(n)=isprime(n) && n%36==35 \\ Charles R Greathouse IV, Jul 02 2016

Formula

a(n) ~ 12n log n. - Charles R Greathouse IV, Jul 02 2016