A142528 Primes congruent to 45 mod 52.

97, 149, 409, 461, 617, 773, 877, 929, 1033, 1553, 1657, 1709, 2281, 2333, 2437, 2593, 2749, 2801, 2957, 3061, 3217, 3373, 3529, 3581, 4049, 4153, 4517, 4621, 4673, 4933, 5297, 5557, 5869, 6337, 6389, 6701, 6857, 6961, 7013, 7481, 7741, 7793, 7949, 8053

Offset

1,1

Links

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

Formula

a(n) ~ 24n log n. - Charles R Greathouse IV, Jul 03 2016

Mathematica

Select[Prime[Range[1300]], MemberQ[{45}, Mod[#, 52]] &] (* Vincenzo Librandi, Aug 29 2012 *)
Select[Range[45, 8100, 52], PrimeQ] (* Harvey P. Dale, Jul 18 2021 *)

Prog

(Magma) [p: p in PrimesUpTo(10000) | p mod 52 eq 45]; // Vincenzo Librandi, Aug 29 2012
(PARI) is(n)=isprime(n) && n%52==45 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A073076 A157213 A000923 * A139500 A344481 A261376

Adjacent sequences: A142525 A142526 A142527 * A142529 A142530 A142531

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved