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.

A136349 Numbers k of the form Product_{j=1..m} prime(j) such that k-1 is prime.

This page as a plain text file.
%I A136349 #27 Apr 09 2021 22:13:28
%S A136349 6,30,2310,30030,304250263527210,23768741896345550770650537601358310
%N A136349 Numbers k of the form Product_{j=1..m} prime(j) such that k-1 is prime.
%C A136349 This sequence is different from A121069 and A002110.
%C A136349 Compute the product of k consecutive sequences of prime factors 2,3,5,7, etc. where k=1,2,3,4,5, etc. When N is preceded by prime N-1 add N to the sequence.
%C A136349 a(7) = 1 9361386640 7008231634 7142505431 2320082662 8976125715 6376190696 2414215012 3698566371 7909694733 5243680669 6075314756 2914824028 4399976570 - copied from Data field by _Michael B. Porter_, Mar 30 2013
%C A136349 Next term (a(8)) is too large to be included: see A006794. - _M. F. Hasler_, May 02 2008
%C A136349 The next 7 terms in the sequence are a(7) = p# 2..89 (shown in full above), a(8) = p# 2..317, a(9) = p# 2..337, a(10) = p# 2..991, a(11) = p# 2..1873, a(12) = p# 2..2053, a(13) = p# 2..2377, where p# indicates a primorial. - _Jeff Hall_, Apr 05 2021
%F A136349 a(n) = A057705(n) + 1 = A034386( A006794(n) ). - _M. F. Hasler_, May 02 2008
%e A136349 a(3)=30 where the prime factors are 2,3,5; since N-1=29, prime, N=30 is added to the sequence.
%t A136349 Select[FoldList[Times,1,Prime[Range[70]]],PrimeQ[#-1]&]  (* _Harvey P. Dale_, Jan 09 2011 *)
%o A136349 (PARI) c=0;t=1;vector(7,n,until( ispseudoprime( -1+t*=prime(c++)),);t)
%Y A136349 Cf. A136350, A136351, A136352, A002110, A121069.
%K A136349 nonn
%O A136349 1,1
%A A136349 _Enoch Haga_, Dec 25 2007
%E A136349 Edited by _M. F. Hasler_, May 02 2008, May 30 2008