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.

A245714 Least number k > 0 such that n + k! is prime, or 0 if no such k exists.

This page as a plain text file.
%I A245714 #11 Jul 30 2014 12:34:48
%S A245714 1,1,2,1,2,1,3,0,2,1,2,1,3,0,2,1,2,1,4,0,2,1,3,0,3,0,2,1,2,1,3,0,0,0,
%T A245714 2,1,3,0,2,1,2,1,4,0,2,1,3,0,4,0,2,1,3,0,3,0,2,1,2,1,3,0,0,0,2,1,3,0,
%U A245714 2,1,2,1,3,0,0,0,2,1,4,0,2,1,3,0,4,0,2,1,4,0,3,0,0,0,2,1,3,0,2,1,2,1,3,0,2,1,2,1,5,0,2,1,4,0,4,0,0,0,5
%N A245714 Least number k > 0 such that n + k! is prime, or 0 if no such k exists.
%C A245714 a(n) <= n for all n. Thus a(n) = 0 is definite.
%H A245714 Vaclav Kotesovec, <a href="/A245714/b245714.txt">Table of n, a(n) for n = 1..5000</a>
%e A245714 7 + 1! = 8 is not prime.
%e A245714 7 + 2! = 9 is not prime.
%e A245714 7 + 3! = 13 is prime. Thus a(7) = 3.
%o A245714 (PARI)
%o A245714 a(n)=for(k=1,n,if(ispseudoprime(n+k!),return(k)))
%o A245714 vector(150,n,a(n))
%Y A245714 Cf. A245723.
%K A245714 nonn
%O A245714 1,3
%A A245714 _Derek Orr_, Jul 30 2014