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Search: id:A046314
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| A046314 |
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Numbers that are divisible by exactly 10 primes (counted with multiplicity). |
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18
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| 1024, 1536, 2304, 2560, 3456, 3584, 3840, 5184, 5376, 5632, 5760, 6400, 6656, 7776, 8064, 8448, 8640, 8704, 8960, 9600, 9728, 9984, 11664, 11776, 12096, 12544, 12672, 12960, 13056, 13440, 14080, 14400, 14592, 14848, 14976, 15872, 16000, 16640
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Also called 10-almost primes. Products of exactly 10 primes (not necessarily distinct). Any 10-almost prime can be represented in several ways as a product of two 5-almost primes A014614, and in several ways as a product of five semiprimes A001358. - Jonathan Vos Post (jvospost2(AT)yahoo.com), Dec 11 2004
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..10000
Eric Weisstein's World of Mathematics, Reference
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FORMULA
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Product p_i^e_i with Sum e_i = 10.
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MATHEMATICA
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Select[Range[5000], Plus @@ Last /@ FactorInteger[ # ] == 10 &] - Vladimir Orlovsky, Apr 23 2008
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CROSSREFS
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Cf. A046313, A120051 (number of 10-almost primes <= 10^n).
Cf. A014612, A014613, A001358, A101637, A101638, A101605, A101606.
Adjacent sequences: A046311 A046312 A046313 this_sequence A046315 A046316 A046317
Sequence in context: A074211 A057443 A046313 this_sequence A135289 A138334 A016781
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KEYWORD
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nonn
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AUTHOR
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Patrick De Geest (pdg(AT)worldofnumbers.com), Jun 15 1998.
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