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.

A136351 Primorial numbers p# such that p# + 1 is a prime.

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%I A136351 #58 May 13 2025 09:46:21
%S A136351 1,2,6,30,210,2310,200560490130
%N A136351 Primorial numbers p# such that p# + 1 is a prime.
%C A136351 This sequence is different from A121069 and A002110.
%C A136351 a(8) = A002110(75) has 154 digits and is too long to be listed. - _R. J. Mathar_, Jul 23 2008
%H A136351 James C. McMahon, <a href="/A136351/b136351.txt">Table of n, a(n) for n = 1..10</a> (a(n) for n = 2..10 by Miles Englezou).
%F A136351 {A002110(j): A002110(j)+1 in A000040}. - _R. J. Mathar_, Jul 23 2008
%F A136351 a(n) = A002110(A014545(n)). - _Michel Marcus_, Apr 05 2021
%F A136351 a(n) = A018239(n) - 1. - _James C. McMahon_, May 08 2025
%e A136351 a(6)=2310 is followed by prime 2311 whereas 30030 is not followed by a prime.
%t A136351 Select[FoldList[Times, 1, Prime[Range[18]]],PrimeQ[#+1]&] (* _James C. McMahon_, May 08 2025 *)
%o A136351 (PARI) S=[];for(n=0, 80, k=vecprod(primes(n)); if(isprime(k+1), S=concat(S,k))); S \\ _Miles Englezou_, Oct 28 2024
%Y A136351 Cf. A002110, A014545, A018239, A121069, A136349, A136350, A136352.
%K A136351 easy,nonn
%O A136351 1,2
%A A136351 _Enoch Haga_, Dec 25 2007
%E A136351 Changed a(1) from 4 to 2 and edited by _R. J. Mathar_, Jul 23 2008
%E A136351 a(1)=1 inserted by _James C. McMahon_, May 08 2025