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A115959 Numbers n having exactly 5 distinct prime factors, the largest of which is greater than or equal to sqrt(n) (i.e. sqrt(n)-rough numbers with exactly 5 distinct prime factors). +0
6
44310, 46830, 47670, 48090, 48930, 50190, 50610, 52710, 53970, 55230, 56490, 56910, 58170, 59010, 59430, 61530, 64470, 65310, 65730, 66570, 69510, 70770, 72870, 73290, 74130, 75390, 77070, 78330, 79590, 80430, 81690, 83370, 84210 (list; graph; listen)
OFFSET

1,1

EXAMPLE

46830 is in the sequence because it has 5 distinct prime factors

(2, 3, 5, 7,and 223) and 223>sqrt(46830).

MAPLE

with(numtheory): a:=proc(n) if nops(factorset(n))=5 and factorset(n)[5]^2>=n then n else fi end: seq(a(n), n=1..93000);

CROSSREFS

Cf. A115956, A115957, A115958, A115960, A115961.

Sequence in context: A043303 A049205 A015388 this_sequence A045937 A138359 A031851

Adjacent sequences: A115956 A115957 A115958 this_sequence A115960 A115961 A115962

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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