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.

A003135 n! is a nontrivial product of factorials. It is conjectured that the list is complete.

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%I A003135 #23 Dec 17 2015 02:51:21
%S A003135 9,10,16
%N A003135 n! is a nontrivial product of factorials. It is conjectured that the list is complete.
%C A003135 A "nontrivial" solution is one in which the largest x! in the product of a(n)! is such that x < a(n)-1. There are no other terms < 10^5. - _Jud McCranie_, Jun 15 2005
%D A003135 R. K. Guy, "Unsolved Problems in Number Theory", section B23.
%H A003135 P. Erdős, <a href="http://www.renyi.hu/~p_erdos/1976-39.pdf">Problems and results on number theoretic properties of consecutive integers and related questions</a>, Proc. 5th Manitoba Conf. Numerical Math., Congress. Num. 16 (1975), 25-44.
%H A003135 <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>
%e A003135 9! = 2! * 3! * 3! * 7! and 7 < 9-1, so 9 is in the sequence.
%e A003135 10! = 6! * 7! or 10! = 3! * 5! * 7! and 7 < 10-1, so 10 is in the sequence.
%e A003135 16! = 2! * 5! * 14! and 14 < 16-1, so 16 is in the sequence.
%Y A003135 Cf. A034878, A001013, A058295, A075082, A109095, A109096, A109097, A109098.
%K A003135 nonn,bref,more,hard
%O A003135 1,1
%A A003135 _N. J. A. Sloane_