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%I #28 Apr 11 2022 22:21:26
%S 2,33,1309,27962,3323705,296602730,41704979953
%N Start of the least triple of consecutive squarefree numbers each of which has exactly n distinct prime factors.
%C 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 a(8) <= 102099792179229 because A093550 - 1 is an upper bound of the present sequence.
%H Daniel C. Mayer, <a href="http://www.linkedin.com/groupItem?view=&gid=4510047&item=5873010790079934468&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 The two squarefree numbers following a(4)=27962, namely, 27965 and 27966, also have 4 prime divisors just as a(4).
%Y See A242605-A242608 for triples of consecutive squarefree numbers with m=2,..,5 prime factors.
%Y See A246470 for the quadruplet and A246548 for the 5-tuple versions of this sequence.
%Y See A039833, A066509, A176167 and A192203 for triples of consecutive numbers which are squarefree and have m=2,..,5 prime factors.
%K nonn
%O 1,1
%A _M. F. Hasler_, May 18 2014
%E Edited and a(6)-a(7) added by _Hans Havermann_, Aug 27 2014
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