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Primes congruent to 12 mod 55.
1

%I #9 Sep 08 2022 08:45:36

%S 67,397,617,727,947,1277,1607,2267,2377,2707,2927,3037,3257,3697,3917,

%T 4027,4357,5237,5347,5897,6007,6337,6997,7547,7877,8317,8537,8647,

%U 8867,9857,9967,10627,10847,10957,11177,11287,11617,12277,12497,13267,13487,13597

%N Primes congruent to 12 mod 55.

%H Vincenzo Librandi, <a href="/A142609/b142609.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[{12}, Mod[#, 55]] &] (* _Vincenzo Librandi_, Aug 31 2012 *)

%o (Magma) [p: p in PrimesUpTo(16000) | p mod 55 eq 12]; // _Vincenzo Librandi_, Aug 31 2012

%o (PARI) is(n)=isprime(n) && n%55==12 \\ _Charles R Greathouse IV_, Jul 04 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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