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A069274 13-almost primes (generalization of semiprimes). 26
8192, 12288, 18432, 20480, 27648, 28672, 30720, 41472, 43008, 45056, 46080, 51200, 53248, 62208, 64512, 67584, 69120, 69632, 71680, 76800, 77824, 79872, 93312, 94208, 96768, 100352, 101376, 103680, 104448, 107520, 112640, 115200 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Product of 13 not necessarily distinct primes.

Divisible by exactly 13 prime powers (not including 1).

LINKS

D. W. Wilson, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Almost Prime.

FORMULA

Product p_i^e_i with Sum e_i = 13.

MATHEMATICA

Select[Range[30000], Plus @@ Last /@ FactorInteger[ # ] == 13 &] - Vladimir Orlovsky, Apr 23 2008

PROG

(PARI) k=13; start=2^k; finish=130000; v=[] for(n=start, finish, if(bigomega(n)==k, v=concat(v, n))); v

CROSSREFS

Sequences listing r-almost primes; that is the n such that A001222(n) = r: A000040 (r = 1), A001358 (r = 2), A014612 (r = 3), A014613 (r = 4), A014614 (r = 5), A046306 (r = 6), A046308 (r = 7), A046310 (r = 8), A046312 (r = 9), A046314 (r = 10), A069272 (r = 11), A069273 (r = 12), this sequence (r = 13), A069275 (r = 14), A069276 (r = 15), A069277 (r = 16), A069278 (r = 17), A069279 (r = 18), A069280 (r = 19), A069281 (r = 20). - Jason Kimberley, Oct 02 2011

Sequence in context: A069388 A069414 A222527 * A220585 A195661 A017690

Adjacent sequences:  A069271 A069272 A069273 * A069275 A069276 A069277

KEYWORD

nonn

AUTHOR

Rick L. Shepherd, Mar 13 2002

STATUS

approved

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Last modified July 30 07:02 EDT 2014. Contains 245053 sequences.