A142085 Primes congruent to 13 mod 35.

13, 83, 223, 293, 433, 503, 643, 853, 1063, 1483, 1553, 1693, 1973, 2113, 2393, 2953, 3023, 3163, 3373, 3583, 3793, 3863, 4003, 4073, 4283, 4423, 4493, 4703, 5333, 5683, 6173, 6733, 6803, 7013, 7433, 7573, 7643, 7853, 7993, 8273, 8623, 8693, 9043, 9323

Offset

1,1

Links

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

Formula

a(n) ~ 24n log n. - Charles R Greathouse IV, Jul 03 2016

Mathematica

Select[Range[13, 20000, 35], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jun 29 2011 *)
Select[Prime[Range[3000]], MemberQ[{13}, Mod[#, 35]]&] (* Vincenzo Librandi, Aug 18 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(10000) | p mod 35 eq 13 ]; // Vincenzo Librandi, Aug 18 2012
(PARI) is(n)=isprime(n) && n%35==13 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A367118 A101102 A213572 * A163688 A274398 A301953

Adjacent sequences: A142082 A142083 A142084 * A142086 A142087 A142088

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved