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A141857 Primes congruent to 10 mod 11. 6

%I #27 Jan 10 2023 12:29:14

%S 43,109,131,197,241,263,307,373,439,461,571,593,659,769,857,967,1033,

%T 1187,1231,1297,1319,1429,1451,1583,1627,1693,1759,1847,1913,1979,

%U 2089,2111,2221,2243,2287,2309,2441,2551,2617,2683,2749,2837,2903,2969,3079,3167

%N Primes congruent to 10 mod 11.

%C If p = 11k+10 then k must be odd, so p is also of the form 22r+21. - _N. J. A. Sloane_, Jan 29 2014

%C Note that the differences are surely unbounded - compare A002386. - _N. J. A. Sloane_, Jan 29 2014]

%H Vincenzo Librandi, <a href="/A141857/b141857.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 10n log n. - _Charles R Greathouse IV_, Jul 02 2016

%t Select[Range[10, 50000, 11], PrimeQ] (* _Vladimir Joseph Stephan Orlovsky_, Jun 13 2011 *)

%t Select[Range[43, 50000, 22], PrimeQ] (* _Zak Seidov_, Jan 29 2014 *)

%t Select[Prime[Range[500]],Mod[#,11]==10&] (* _Harvey P. Dale_, Jan 10 2023 *)

%o (Magma) [ p: p in PrimesUpTo(5000) | p mod 11 eq 10 ]; // _Vincenzo Librandi_, Apr 19 2011

%o (PARI) is(n)=isprime(n) && n%11==10 \\ _Charles R Greathouse IV_, Jul 02 2016

%Y Cf. A002386.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_, Jul 11 2008

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Last modified April 27 05:20 EDT 2024. Contains 372009 sequences. (Running on oeis4.)