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A045934 Numbers n such that n through n+5 have the same number of distinct prime factors. 2
91, 141, 142, 143, 212, 213, 214, 323, 324, 2302, 2303, 6850, 9061, 10280, 10281, 15740, 16130, 16164, 16682, 16683, 19052, 19053, 20212, 20213, 21195, 21196, 21790, 22055, 23064, 25779, 25780, 25991, 28608, 28674, 29971, 31442, 33084 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

LINKS

Zak Seidov, Table of n, a(n) for n = 1..2620

EXAMPLE

The numbers from 91 to 96 all have 2 distinct prime factors: 91=7*13, 92=2^2*23, 93=3*31, 94=2*47, 95=5*19, and 96=2^5*3.

MATHEMATICA

Select[Range[35000], Length[Union[Length/@FactorInteger[Range[#, #+5]]]]==1&]  (* From Harvey P. Dale, Feb 27 2011 *)

CROSSREFS

Sequence in context: A020301 A083517 A088983 * A051347 A159961 A113530

Adjacent sequences:  A045931 A045932 A045933 * A045935 A045936 A045937

KEYWORD

nonn

AUTHOR

David W. Wilson (davidwwilson(AT)comcast.net)

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Last modified February 17 19:13 EST 2012. Contains 206085 sequences.