A094657 Primes congruent to 4 mod 17.

89, 157, 191, 293, 463, 599, 701, 769, 1109, 1279, 1381, 1483, 1619, 1721, 1789, 1823, 1993, 2027, 2129, 2333, 2503, 2707, 2741, 2843, 3217, 3251, 3319, 3557, 3659, 3727, 3761, 3863, 3931, 4271, 4339, 4373, 4441, 4679, 4951, 5087, 5189, 5393, 5563, 5801

Offset

1,1

Comments

Used in a primality test.

Links

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

Chris Caldwell, Prime test.

Formula

a(n) ~ 16n log n. - Charles R Greathouse IV, Jul 02 2016

Mathematica

Select[Prime[Range[800]], Mod[#, 17]==4&]  (* Harvey P. Dale, Mar 22 2011 *)

Prog

(Magma) [p: p in PrimesUpTo(6000) | p mod 17 eq 4 ]; // Vincenzo Librandi, Aug 14 2012
(PARI) is(n)=isprime(n) && n%17==4 \\ Charles R Greathouse IV, Jul 02 2016

Crossrefs

Sequence in context: A075589 A142031 A302003 * A142124 A044259 A044640

Adjacent sequences: A094654 A094655 A094656 * A094658 A094659 A094660

Keyword

nonn,easy

Author

Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Jun 14 2004

Extensions

More terms from Klaus Brockhaus, Jun 16 2004

Status

approved