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Primes congruent to 31 mod 65.
1

%I #16 Sep 08 2022 08:46:17

%S 31,421,811,941,1201,1721,2111,2371,3541,3671,3931,4451,5101,5231,

%T 5881,6011,6271,6661,6791,8221,8741,9001,9391,9521,9781,10301,10691,

%U 11471,11731,12251,12511,12641,13291,13421,13681,14071,14461,14591,14851,15241,15761

%N Primes congruent to 31 mod 65.

%C Subsequence of A030430 and A102732.

%H Vincenzo Librandi, <a href="/A274202/b274202.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Prime[Range[2000]], MemberQ[{31}, Mod[#, 65]] &]

%t Select[Range[31,16000,65],PrimeQ] (* _Harvey P. Dale_, May 06 2018 *)

%o (Magma) [p: p in PrimesUpTo(20000) | p mod 65 eq 31];

%Y Cf. A000040, A030430, A102732.

%Y Cf. similar sequences of the type primes congruent to k mod 2*k+3: A045392 (k=2), A102732 (k=5), A138629 (k=7), A141873 (k=8), A141914 (k=10), A141935 (k=11), A141989 (k=13), A142018 (k=14), A142086 (k=16), A142126 (k=17), A142216 (k=19), A142269 (k=20), A142373 (k=22), A142433 (k=23), A142555 (k=25), A142619 (k=26), A142755 (k=28), A142827 (k=29), this sequence (k=31), A154621 (k=32), A154624 (k=34), A154628 (k=35).

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Jun 13 2016