A140851 Primes of the form 210k + 53.

53, 263, 683, 1103, 1523, 1733, 2153, 3203, 3413, 3623, 3833, 4253, 4463, 4673, 5303, 6143, 6353, 6563, 6983, 7193, 7823, 8243, 8663, 9293, 9923, 10133, 10343, 10973, 11393, 11813, 12653, 13913, 14543, 14753, 15173, 15383, 15803, 16223, 16433

Offset: 1

Author

Juri-Stepan Gerasimov, Jul 04 2008

Keywords

• nonn

Comments

These are primes p == k (mod prime(k)) for k = 1..4. The subsequence of primes == k (mod prime(k)) for k = 1..5 is 1523, 3833, 6143, 15383 (not in OEIS?). - Zak Seidov, Jun 25 2018

Crossrefs

Cf. A073102.

Programs

Magma

[ a: n in [0..900] | IsPrime(a) where a is 210*n+53] // Vincenzo Librandi, Nov 24 2010

Mathematica

Select[53+210Range[0,150],PrimeQ] (* Ray Chandler, Apr 29 2010 *)

Extensions

Corrected and extended by several authors, Apr 29 2010