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.

A242621 Start of the least triple of consecutive squarefree numbers each of which has exactly n distinct prime factors.

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%I A242621 #28 Apr 11 2022 22:21:26
%S A242621 2,33,1309,27962,3323705,296602730,41704979953
%N A242621 Start of the least triple of consecutive squarefree numbers each of which has exactly n distinct prime factors.
%C A242621 As the example of a(4)=27962 shows, "consecutive squarefree numbers" means consecutive elements of A005117, not necessarily consecutive integers that (additionally) are squarefree; this would be a more restrictive condition.
%C A242621 a(8) <= 102099792179229 because A093550 - 1 is an upper bound of the present sequence.
%H A242621 Daniel C. Mayer, <a href="http://www.linkedin.com/groupItem?view=&amp;gid=4510047&amp;item=5873010790079934468&amp;type=member">Define an "m-triple" to consist of three consecutive squarefree positive integers, each with exactly m prime divisors</a>, Number Theory group on LinkedIn.com
%e A242621 The two squarefree numbers following a(4)=27962, namely, 27965 and 27966, also have 4 prime divisors just as a(4).
%Y A242621 See A242605-A242608 for triples of consecutive squarefree numbers with m=2,..,5 prime factors.
%Y A242621 See A246470 for the quadruplet and A246548 for the 5-tuple versions of this sequence.
%Y A242621 See A039833, A066509, A176167 and A192203 for triples of consecutive numbers which are squarefree and have m=2,..,5 prime factors.
%K A242621 nonn
%O A242621 1,1
%A A242621 _M. F. Hasler_, May 18 2014
%E A242621 Edited and a(6)-a(7) added by _Hans Havermann_, Aug 27 2014