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A119251
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Positive integers each with exactly 1 unitary prime divisor (i.e. n is included if and only if A056169(n) = 1).
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0
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2, 3, 5, 7, 11, 12, 13, 17, 18, 19, 20, 23, 24, 28, 29, 31, 37, 40, 41, 43, 44, 45, 47, 48, 50, 52, 53, 54, 56, 59, 61, 63, 67, 68, 71, 73, 75, 76, 79, 80, 83, 88, 89, 92, 96, 97, 98, 99, 101, 103, 104, 107, 109, 112, 113, 116, 117, 124, 127, 131, 135, 136, 137, 139, 147
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Also, numbers expressible as the product of a prime and a powerful number not divisible by that prime. - Frank Adams-Watters (FrankTAW(AT)Netscape.net), Jul 25 2006
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EXAMPLE
| 28 has the prime factorization of 2^2 * 7^1. 28 is therefore included in this sequence because there is exactly one prime raised to an exponent of 1 in 28's prime-factorization.
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MATHEMATICA
| Select[Range@147, Count[FactorInteger@#, 1, 2] == 1 &] - Robert G. Wilson v (rgwv(at)rgwv.com), Jul 25 2006
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CROSSREFS
| Cf. A001694, A056169, Union of A000040 and A059404.
Sequence in context: A131930 A001742 A073085 * A028835 A028834 A139750
Adjacent sequences: A119248 A119249 A119250 * A119252 A119253 A119254
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KEYWORD
| nonn
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AUTHOR
| Leroy Quet Jul 23 2006
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(at)rgwv.com) and Frank Adams-Watters (FrankTAW(AT)Netscape.net), Jul 25 2006
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