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A138109 Positive integers n whose smallest prime factor is greater than the cube root of n and strictly less than the square root of n. 0
6, 15, 21, 35, 55, 65, 77, 85, 91, 95, 115, 119, 133, 143, 161, 187, 203, 209, 217, 221, 247, 253, 259, 287, 299, 301, 319, 323, 329, 341, 377, 391, 403, 407, 437, 451, 473, 481, 493, 517, 527, 533, 551, 559, 583, 589, 611, 629, 649, 667, 671, 689, 697, 703 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

This sequence was suggested by Moshe Newman

EXAMPLE

a(1)=6 because the smallest prime factor of 6 is 2 and 1.817...<2<2.449...

MATHEMATICA

s = {}; Do[f = FactorInteger[i]; test = f[[1]][[1]]; If [test < N[i^(1/2)] && test > N[i^(1/3)], s = Union[s, {i}]], {i, 2, 2000}]; Print[s]

CROSSREFS

Sequence in context: A009092 A015793 A063466 * A072521 A130178 A100410

Adjacent sequences:  A138106 A138107 A138108 * A138110 A138111 A138112

KEYWORD

nonn

AUTHOR

David S. Newman (davidsnewman(AT)gmail.com), May 04 2008

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.