A045437 Primes congruent to 3 mod 7.

3, 17, 31, 59, 73, 101, 157, 199, 227, 241, 269, 283, 311, 353, 367, 409, 479, 521, 563, 577, 619, 647, 661, 773, 787, 829, 857, 941, 983, 997, 1039, 1109, 1123, 1151, 1193, 1249, 1277, 1291, 1319, 1361, 1459, 1487, 1543, 1571, 1613, 1627, 1669, 1697, 1753

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Comments

Also primes congruent to 3 mod 14.

Links

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

Crossrefs

Primes arising in sequences A024903, A033868, A089033, A090614.

A090613 gives prime index.

Programs

Magma

[p: p in PrimesUpTo(2000) | p mod 7 eq 3]; // Vincenzo Librandi, Aug 06 2012

Mathematica

Select[Range[3, 50000, 7], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jun 13 2011 *)

PARI

is(n)=isprime(n) && n%7==3 \\ Charles R Greathouse IV, Jul 01 2016

Extensions

Extended by Ray Chandler, Dec 23 2003