A142577 Primes congruent to 47 mod 53.

47, 577, 683, 1213, 1319, 1531, 1637, 2273, 2591, 2803, 2909, 3121, 3863, 4817, 5347, 6089, 6301, 6619, 7043, 7573, 8209, 8527, 8951, 9587, 10223, 10753, 10859, 11071, 11177, 11813, 12343, 12979, 13297, 13721, 13933, 14251, 14887, 15629, 16477, 16901, 17431

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[Prime[Range[2100]], Mod[#, 53]==47&] (* or *) Select[53Range[ 0, 330]+47, PrimeQ] (* Harvey P. Dale, Jul 02 2011 *)
Select[Prime[Range[2600]], MemberQ[{47}, Mod[#, 53]] &] (* Vincenzo Librandi, Aug 30 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 47]; // Vincenzo Librandi, Aug 30 2012
(PARI) is(n)=isprime(n) && n%53==47 \\ Charles R Greathouse IV, Jul 04 2016

Crossrefs

Cf. A000040.

Sequence in context: A293368 A116146 A142253 * A098226 A106310 A163709

Adjacent sequences: A142574 A142575 A142576 * A142578 A142579 A142580

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved