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Primes of the form 210k + 53.
0

%I #23 Jun 27 2024 08:59:14

%S 53,263,683,1103,1523,1733,2153,3203,3413,3623,3833,4253,4463,4673,

%T 5303,6143,6353,6563,6983,7193,7823,8243,8663,9293,9923,10133,10343,

%U 10973,11393,11813,12653,13913,14543,14753,15173,15383,15803,16223,16433

%N Primes of the form 210k + 53.

%C 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

%t Select[53+210Range[0,150],PrimeQ] (* _Ray Chandler_, Apr 29 2010 *)

%o (Magma) [ a: n in [0..900] | IsPrime(a) where a is 210*n+53] // _Vincenzo Librandi_, Nov 24 2010

%Y Cf. A073102.

%K nonn

%O 1,1

%A _Juri-Stepan Gerasimov_, Jul 04 2008

%E Corrected and extended by several authors, Apr 29 2010