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A115960 Numbers n having exactly 6 distinct prime factors, the largest of which is greater than or equal to sqrt(n) (i.e. sqrt(n)-rough numbers with exactly 6 distinct prime factors). +0
6
5338410, 5389230, 5403090, 5407710, 5421570, 5430810, 5444670, 5477010, 5490870, 5500110, 5504730, 5518590, 5527830, 5541690, 5569410, 5583270, 5597130, 5629470, 5638710, 5652570, 5680290, 5698770, 5712630, 5721870 (list; graph; listen)
OFFSET

1,1

EXAMPLE

5389230 is in the sequence because it has 6 distinct prime factors (2, 3, 5, 7, 11, and 2333) and 2333>sqrt(5389230).

MAPLE

with(numtheory): a:=proc(n) if nops(factorset(n))=6 and factorset(n)[6]^2>=n then n else fi end: seq(a(n), n=(2*3*5*7*11)^2..5850000);

CROSSREFS

Cf. A115956, A115957, A115958, A115959, A115961.

Sequence in context: A116105 A116128 A058252 this_sequence A022258 A092020 A029822

Adjacent sequences: A115957 A115958 A115959 this_sequence A115961 A115962 A115963

KEYWORD

nonn

AUTHOR

Emeric Deutsch (deutsch(AT)duke.poly.edu), Feb 02 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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