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

Author

N. J. A. Sloane, Jul 11 2008

Keywords

• nonn
• easy

Links

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

Crossrefs

Cf. A000040.

Programs

Magma

[p: p in PrimesUpTo(8000) | p mod 44 eq 1 ]; // Vincenzo Librandi, Aug 25 2012

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 *)

PARI

is(n)=isprime(n) && n%44==1 \\ Charles R Greathouse IV, Jul 02 2016

Formula

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