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A140078 Numbers n such that n and n+1 have 4 distinct prime factors. +0
3
7314, 8294, 8645, 9009, 10659, 11570, 11780, 11934, 13299, 13629, 13845, 14420, 15105, 15554, 16554, 16835, 17204, 17390, 17654, 17765, 18095, 18290, 18444, 18920, 19005, 19019, 19095, 19227, 20349, 20405, 20769, 21164, 21489, 21735 (list; graph; listen)
OFFSET

1,1

COMMENT

For numbers n such that n and n+1 have k distinct prime factors see:

k=2 A074851

k=3 A140077

k=4 A140078

k=5 A140079

LINKS

D. A. Goldston, S. W. Graham, J. Pintz and C. Y. Yildirim., Small gaps between almost primes, the parity problem and some conjectures of Erdos on consecutive integers.

MATHEMATICA

a = {}; Do[If[Length[FactorInteger[n]] == 4 && Length[FactorInteger[n + 1]] == 4, AppendTo[a, n]], {n, 1, 100000}]; a (*Artur Jasinski*)

CROSSREFS

Cf. A074851, A140077, A140079 .

Sequence in context: A152502 A031799 A116248 this_sequence A117799 A097696 A128478

Adjacent sequences: A140075 A140076 A140077 this_sequence A140079 A140080 A140081

KEYWORD

nonn

AUTHOR

Artur Jasinski (grafix(AT)csl.pl), May 07 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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