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A014614 Numbers that are products of 5 primes (or 5-almost primes, a generalization of semiprimes). 72
32, 48, 72, 80, 108, 112, 120, 162, 168, 176, 180, 200, 208, 243, 252, 264, 270, 272, 280, 300, 304, 312, 368, 378, 392, 396, 405, 408, 420, 440, 450, 456, 464, 468, 496, 500, 520, 552, 567, 588, 592, 594, 612, 616, 630, 656, 660, 675, 680, 684, 688, 696 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Divisible by exactly 5 prime powers (not including 1).

LINKS

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

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

FORMULA

Product p_i^e_i with Sum e_i = 5.

MATHEMATICA

Select[Range[300], Plus @@ Last /@ FactorInteger[ # ] == 5 &] - Vladimir Orlovsky, Apr 23 2008

CROSSREFS

Cf. A046304, A114453 (number of 5-almost primes <= 10^n).

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), this sequence (r = 5), A046306 (r = 6), A046308 (r = 7), A046310 (r = 8), A046312 (r = 9), A046314 (r = 10), A069272 (r = 11), A069273 (r = 12), A069274 (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: A090052 A163285 A036329 * A046371 A175162 A039379

Adjacent sequences:  A014611 A014612 A014613 * A014615 A014616 A014617

KEYWORD

nonn

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

EXTENSIONS

More terms from Scott Lindhurst (ScottL(AT)alumni.princeton.edu) and Patrick De Geest, Jun 15 1998 (pdg(AT)worldofnumbers.com).

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Last modified February 17 19:13 EST 2012. Contains 206085 sequences.