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

Author

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

Keywords

• nonn
• easy

Comments

Used in a primality test.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000
• Chris Caldwell, Prime test.

Programs

Magma

[p: p in PrimesUpTo(6000) | p mod 17 eq 4 ]; // Vincenzo Librandi, Aug 14 2012

Mathematica

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

PARI

is(n)=isprime(n) && n%17==4 \\ Charles R Greathouse IV, Jul 02 2016

Formula

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

Extensions

More terms from Klaus Brockhaus, Jun 16 2004