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A242621 Start of the least triple of consecutive squarefree numbers each of which has exactly n distinct prime factors. 8
2, 33, 1309, 27962, 3323705, 296602730, 41704979953 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
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.
a(8) <= 102099792179229 because A093550 - 1 is an upper bound of the present sequence.
LINKS
EXAMPLE
The two squarefree numbers following a(4)=27962, namely, 27965 and 27966, also have 4 prime divisors just as a(4).
CROSSREFS
See A242605-A242608 for triples of consecutive squarefree numbers with m=2,..,5 prime factors.
See A246470 for the quadruplet and A246548 for the 5-tuple versions of this sequence.
See A039833, A066509, A176167 and A192203 for triples of consecutive numbers which are squarefree and have m=2,..,5 prime factors.
Sequence in context: A356953 A204239 A198901 * A206385 A263052 A090335
KEYWORD
nonn
AUTHOR
M. F. Hasler, May 18 2014
EXTENSIONS
Edited and a(6)-a(7) added by Hans Havermann, Aug 27 2014
STATUS
approved

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Last modified April 24 00:30 EDT 2024. Contains 371917 sequences. (Running on oeis4.)