A142578 Primes congruent to 48 mod 53.

101, 313, 419, 631, 1373, 2221, 2539, 2857, 2963, 3917, 4129, 4447, 4871, 5189, 5507, 6037, 6143, 6673, 6779, 6991, 7309, 8263, 8369, 8581, 9323, 11443, 11549, 11867, 12503, 12821, 13033, 13457, 13669, 14411, 15259, 15683, 16001, 16319, 17167, 17909, 18121

Offset

1,1

Links

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

Formula

a(n) ~ 52n log n. - Charles R Greathouse IV, Jul 04 2016

Mathematica

Select[Range[101, 20000, 53], PrimeQ] (* Harvey P. Dale, Jul 15 2012 *)
Select[Prime[Range[2600]], MemberQ[{48}, Mod[#, 53]] &] (* Vincenzo Librandi, Aug 30 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 48]; // Vincenzo Librandi, Aug 30 2012
(PARI) is(n)=isprime(n) && n%53==48 \\ Charles R Greathouse IV, Jul 04 2016

Crossrefs

Cf. A000040.

Sequence in context: A140021 A139701 A195294 * A256048 A252942 A090287

Adjacent sequences: A142575 A142576 A142577 * A142579 A142580 A142581

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved