A141857 Primes congruent to 10 mod 11.

43, 109, 131, 197, 241, 263, 307, 373, 439, 461, 571, 593, 659, 769, 857, 967, 1033, 1187, 1231, 1297, 1319, 1429, 1451, 1583, 1627, 1693, 1759, 1847, 1913, 1979, 2089, 2111, 2221, 2243, 2287, 2309, 2441, 2551, 2617, 2683, 2749, 2837, 2903, 2969, 3079, 3167

Offset

1,1

Comments

From N. J. A. Sloane, Jan 29 2014: (Start)

If p = 11k+10 then k must be odd, so p is also of the form 22r+21.

Note that the differences are surely unbounded - compare A002386. (End)

Links

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

Formula

a(n) ~ 10n log n. - Charles R Greathouse IV, Jul 02 2016

Mathematica

Select[Range[10, 50000, 11], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jun 13 2011 *)
Select[Range[43, 50000, 22], PrimeQ] (* Zak Seidov, Jan 29 2014 *)
Select[Prime[Range[500]], Mod[#, 11]==10&] (* Harvey P. Dale, Jan 10 2023 *)

Prog

(Magma) [ p: p in PrimesUpTo(5000) | p mod 11 eq 10 ]; // Vincenzo Librandi, Apr 19 2011
(PARI) is(n)=isprime(n) && n%11==10 \\ Charles R Greathouse IV, Jul 02 2016

Crossrefs

Cf. A002386.

Sequence in context: A142944 A334641 A059914 * A106923 A115586 A294717

Adjacent sequences: A141854 A141855 A141856 * A141858 A141859 A141860

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved