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%I #14 Sep 08 2022 08:45:36
%S 7,97,277,367,457,547,727,907,997,1087,1447,1627,1987,2347,2437,2617,
%T 2707,2797,2887,3067,3517,3607,3697,3877,3967,4057,4327,4507,4597,
%U 4957,5227,5407,5857,6037,6217,6397,6577,7027,7207,7297,7477,7927,8017,8287,8377
%N Primes congruent to 7 mod 45.
%C Primes congruent to 7 mod 90. - Vladimir Joseph Stephan Orlovsky, Jul 14 2011.
%H Vincenzo Librandi, <a href="/A142315/b142315.txt">Table of n, a(n) for n = 1..1000</a>
%F a(n) ~ 24n log n. - _Charles R Greathouse IV_, Jul 02 2016
%t Select[Range[7, 30000, 90], PrimeQ] (* _Vladimir Joseph Stephan Orlovsky_, Jul 14 2011 *)
%t Select[Prime[Range[3000]],MemberQ[{7},Mod[#,45]]&] (* _Vincenzo Librandi_, Aug 25 2012 *)
%o (Magma) [p: p in PrimesUpTo(10000) | p mod 45 eq 7]; // _Vincenzo Librandi_, Aug 25 2012
%o (PARI) is(n)=isprime(n) && n%45==7 \\ _Charles R Greathouse IV_, Jul 02 2016
%Y Cf. A000040.
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_, Jul 11 2008