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.

A249509 Smallest number k >= A000043(n) such that k*A000668(n)*(k*A000668(n)+1)-1 is prime.

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%I A249509 #16 Apr 03 2023 10:36:13
%S A249509 2,3,5,7,25,19,20,42,96,190,134,164,650,852,1455,2765,2480,3960,5464,
%T A249509 6694,17206,13118,13680,28481,27445,28821,101696,116232,142083,187376,
%U A249509 250118,1200007
%N A249509 Smallest number k >= A000043(n) such that k*A000668(n)*(k*A000668(n)+1)-1 is prime.
%C A249509 a(34) = 1200007.
%C A249509 A000043(34) = 756839.
%C A249509 A000668(34) = 2^756839-1.
%C A249509 1200007*(2^756839-1)*(1200007*(2^756839-1)+1)-1 is a 455675 digits certified prime using PFGW.
%H A249509 Chris K. Caldwell, The List of Largest Known Primes, <a href="https://t5k.org/primes/page.php?id=118696">Prime corresponding to a(34)</a>
%Y A249509 Cf. A000043, A000668, A137908, A137909.
%K A249509 nonn
%O A249509 1,1
%A A249509 _Pierre CAMI_, Oct 30 2014