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Search: id:A069275
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| A069275 |
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14-almost primes (generalization of semiprimes). |
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+0
9
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| 16384, 24576, 36864, 40960, 55296, 57344, 61440, 82944, 86016, 90112, 92160, 102400, 106496, 124416, 129024, 135168, 138240, 139264, 143360, 153600, 155648, 159744, 186624, 188416, 193536, 200704, 202752, 207360, 208896, 215040, 225280
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Divisible by exactly 14 primes (counted with multiplicity).
Any 14-almost prime can be represented in several ways as a product of two 7-almost primes A046308; and in several ways as a product of seven semiprimes A001358. - Jonathan Vos Post (jvospost3(AT)gmail.com), Dec 11 2004
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LINKS
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D. W. Wilson, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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FORMULA
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Product p_i^e_i with Sum e_i = 14.
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MATHEMATICA
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Select[Range[50000], Plus @@ Last /@ FactorInteger[ # ] == 14 &] - Vladimir Orlovsky, Apr 23 2008
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PROGRAM
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(PARI) k=14; start=2^k; finish=240000; v=[] for(n=start, finish, if(bigomega(n)==k, v=concat(v, n))); v
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CROSSREFS
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Cf. A001358 (semiprimes), A069274 (13-almost primes), A069276 (15-almost primes) - A069281 (20-almost primes).
Cf. A046308, A046306, A014612, A014613, A001358, A101637, A101638, A101605, A101606.
Sequence in context: A022530 A069389 A069415 this_sequence A115348 A016783 A016807
Adjacent sequences: A069272 A069273 A069274 this_sequence A069276 A069277 A069278
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KEYWORD
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nonn
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AUTHOR
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Rick L. Shepherd (rshepherd2(AT)hotmail.com), Mar 13 2002
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