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A046306 Numbers that are divisible by exactly 6 primes (counted with multiplicity). +0
35
64, 96, 144, 160, 216, 224, 240, 324, 336, 352, 360, 400, 416, 486, 504, 528, 540, 544, 560, 600, 608, 624, 729, 736, 756, 784, 792, 810, 816, 840, 880, 900, 912, 928, 936, 992, 1000, 1040, 1104, 1134, 1176, 1184, 1188, 1215, 1224, 1232, 1260, 1312, 1320 (list; graph; listen)
OFFSET

1,1

COMMENT

Also called 6-almost primes. Products of exactly 6 primes (not necessarily distinct). Any 6-almost prime can be represented in several ways as a product of two 3-almost primes A014612 and in several ways as a product of three semiprimes A001358. - Jonathan Vos Post (jvospost3(AT)gmail.com), Dec 11 2004

LINKS

T. D. Noe, Table of n, a(n) for n=1..10000

Eric Weisstein's World of Mathematics, Reference

FORMULA

Product p_i^e_i with Sum e_i = 6.

MATHEMATICA

Select[Range[500], Plus @@ Last /@ FactorInteger[ # ] == 6 &] - Vladimir Orlovsky, Apr 23 2008

CROSSREFS

Cf. A046305, A120047 (number of 6-almost primes <= 10^n).

Cf. A014612, A001358, A101605, A101606.

Sequence in context: A046305 A114828 A036330 this_sequence A104022 A061099 A118488

Adjacent sequences: A046303 A046304 A046305 this_sequence A046307 A046308 A046309

KEYWORD

nonn

AUTHOR

Patrick De Geest (pdg(AT)worldofnumbers.com), Jun 15 1998.

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Last modified December 18 21:32 EST 2009. Contains 171025 sequences.


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