Additive function: Difference between revisions

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m Examples: Fix links to where omega and big-omega functions are defined
Examples: Numeric order
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::Ω(1) = 0, since 1 has no prime factors
::Ω(20) = Ω(2·2·5) = 3
::Ω(4) = 2
::Ω(2716) = 3Ω(2·2·2·2) = 4
::Ω(20) = Ω(2·2·5) = 3
::Ω(27) = Ω(3·3·3) = 3
::Ω(144) = Ω(2<sup>4</sup> · 3<sup>2</sup>) = Ω(2<sup>4</sup>) + Ω(3<sup>2</sup>) = 4 + 2 = 6
::Ω(2,000) = Ω(2<sup>4</sup> · 5<sup>3</sup>) = Ω(2<sup>4</sup>) + Ω(5<sup>3</sup>) = 4 + 3 = 7
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::ω(4) = 1
::ω(2016) = ω(2<sup>24</sup>·5) = 21
::ω(2720) = 1ω(2<sup>2</sup> · 5) = 2
::ω(27) = ω(3<sup>3</sup>) = 1
::ω(144) = ω(2<sup>4</sup> · 3<sup>2</sup>) = ω(2<sup>4</sup>) + ω(3<sup>2</sup>) = 1 + 1 = 2
::ω(2,000) = ω(2<sup>4</sup> · 5<sup>3</sup>) = ω(2<sup>4</sup>) + ω(5<sup>3</sup>) = 1 + 1 = 2