A142605 - OEIS

%I #11 Sep 08 2022 08:45:36

%S 61,281,941,1051,1381,1601,1931,2371,2591,3251,3361,3581,3691,3911,

%T 4021,4241,5011,5231,6221,6551,6661,6991,7211,7321,7541,8311,8641,

%U 8861,8971,9521,9631,9851,10181,11171,11831,11941,12161,12491,12601,12821,13151,13591

%N Primes congruent to 6 mod 55.

%H Vincenzo Librandi, <a href="/A142605/b142605.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 40n log n. - _Charles R Greathouse IV_, Jul 04 2016

%t Select[Prime[Range[2500]], MemberQ[{6}, Mod[#, 55]] &] (* _Vincenzo Librandi_, Aug 31 2012 *)

%t Select[Range[6,14000,55],PrimeQ] (* _Harvey P. Dale_, Feb 20 2018 *)

%o (Magma) [p: p in PrimesUpTo(16000) | p mod 55 eq 6]; // _Vincenzo Librandi_, Aug 31 2012

%o (PARI) is(n)=isprime(n) && n%55==6 \\ _Charles R Greathouse IV_, Jul 04 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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