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Primes congruent to 8 mod 31.
1

%I #16 Sep 08 2022 08:45:35

%S 101,163,349,659,907,1031,1093,1217,1279,2333,2767,2953,3449,3511,

%T 3697,3821,4007,4441,4751,4813,4937,4999,5309,5557,5743,5867,6053,

%U 6301,6673,6983,7417,7541,7603,7727,7789,8161,8719,9029,9091,9277,9463,9587,9649

%N Primes congruent to 8 mod 31.

%H Vincenzo Librandi, <a href="/A142012/b142012.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 30n log n. - _Charles R Greathouse IV_, Jul 03 2016

%t Select[Range[8,20000,31],PrimeQ] (* _Vladimir Joseph Stephan Orlovsky_, Apr 20 2011 *)

%o (Magma) [ p: p in PrimesUpTo(30000) | p mod 31 eq 8 ]; // _Vincenzo Librandi_, Apr 20 2011

%o (PARI) is(n)=isprime(n) && n%31==8 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040, A142005, A142006.

%K nonn,easy

%O 1,1

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