cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A255634 Numbers n such that 1 + 16n^2 is prime.

This page as a plain text file.
%I A255634 #25 Sep 08 2022 08:46:11
%S A255634 1,4,5,6,9,10,14,21,29,30,31,39,40,44,45,46,51,56,59,60,64,65,66,70,
%T A255634 71,75,85,96,99,100,105,109,110,111,116,124,134,136,139,144,146,159,
%U A255634 161,170,174,175,176,179,185,190,191,195,196,204,215,216,230,234,240,251,259,265,270,274,281
%N A255634 Numbers n such that 1 + 16n^2 is prime.
%C A255634 Note the sets of 3 consecutive numbers starting with 4, 29, 44, 64, 109, 174, ..., these numbers are congruent to 4 mod 5; cf. A255635.
%p A255634 A255634:=n->`if`(isprime(1+16*n^2), n, NULL): seq(A255634(n), n=1..300); # _Wesley Ivan Hurt_, Feb 28 2015
%t A255634 Select[Range[400], PrimeQ[16 #^2 + 1] &] (* _Vincenzo Librandi_, Mar 03 2015 *)
%o A255634 (PARI) select(n->isprime(1+16*n^2), vector(300, n, n)) \\ _Colin Barker_, Mar 01 2015
%o A255634 (Magma) [n: n in [0..300] | IsPrime(16*n^2+1)]; // _Vincenzo Librandi_, Mar 03 2015
%Y A255634 Cf. A001912, A005574, A255635.
%K A255634 nonn
%O A255634 1,2
%A A255634 _Zak Seidov_, Feb 28 2015