login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A140851
Primes of the form 210k + 53.
0
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
1,1
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
MATHEMATICA
Select[53+210Range[0, 150], PrimeQ] (* Ray Chandler, Apr 29 2010 *)
PROG
(Magma) [ a: n in [0..900] | IsPrime(a) where a is 210*n+53] // Vincenzo Librandi, Nov 24 2010
CROSSREFS
Cf. A073102.
Sequence in context: A107150 A036911 A241488 * A337428 A253119 A253112
KEYWORD
nonn
AUTHOR
EXTENSIONS
Corrected and extended by several authors, Apr 29 2010
STATUS
approved