A142292 Primes congruent to 1 mod 44.

89, 353, 397, 617, 661, 881, 1013, 1277, 1321, 1409, 1453, 2069, 2113, 2333, 2377, 2729, 2861, 3037, 3169, 3257, 3301, 3389, 3433, 3697, 3917, 4049, 4093, 4357, 4621, 4973, 5237, 5281, 5413, 5501, 5897, 6029, 6073, 6337, 6469, 6689, 6733, 6997, 7129, 7349

Offset

1,1

Links

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

Formula

a(n) ~ 20n log n. - Charles R Greathouse IV, Jul 02 2016

Mathematica

Select[Prime[Range[2500]], MemberQ[{1}, Mod[#, 44]]&] (* Vincenzo Librandi, Aug 25 2012 *)
Select[Range[1, 8000, 44], PrimeQ] (* Harvey P. Dale, May 16 2020 *)

Prog

(Magma) [p: p in PrimesUpTo(8000) | p mod 44 eq 1 ]; // Vincenzo Librandi, Aug 25 2012
(PARI) is(n)=isprime(n) && n%44==1 \\ Charles R Greathouse IV, Jul 02 2016

Crossrefs

Cf. A000040.

Sequence in context: A142936 A142685 A140772 * A031926 A132253 A288024

Adjacent sequences: A142289 A142290 A142291 * A142293 A142294 A142295

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved