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A036350 Numbers such that the sum of the prime factors is odd (counted with multiplicity). 1
6, 10, 12, 14, 20, 22, 24, 26, 27, 28, 34, 38, 40, 44, 45, 46, 48, 52, 54, 56, 58, 62, 63, 68, 74, 75, 76, 80, 82, 86, 88, 90, 92, 94, 96, 99, 104, 105, 106, 108, 112, 116, 117, 118, 122, 124, 125, 126, 134, 136, 142, 146, 147, 148, 150, 152, 153, 158, 160, 164 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

The number 1 and the primes themselves are excluded. [From Harvey P. Dale, Dec 18 2011]

EXAMPLE

44 = 2 * 2 * 11 -> sum = 15 -> 15 is odd.

MATHEMATICA

okQ[n_]:=!PrimeQ[n]&&OddQ[Total[Flatten[Table[First[#], {Last[#]}]&/@ FactorInteger[n]]]]; Select[Range[2, 200], okQ] (* From Harvey P. Dale, Dec 18 2011 *)

CROSSREFS

Cf. A046363, A036349.

Sequence in context: A175352 A175397 A129493 * A088829 A036348 A100368

Adjacent sequences:  A036347 A036348 A036349 * A036351 A036352 A036353

KEYWORD

nonn,base

AUTHOR

Patrick De Geest (pdg(AT)worldofnumbers.com), Dec 15 1998.

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Last modified February 15 15:20 EST 2012. Contains 205823 sequences.