Geodesic
Remarks on an Arithmetic Derivative
Canadian mathematical bulletin, Tome 4 (1961) no. 2, pp. 117-122

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Let D(n) denote a function of an integral variable n ≥ 0 such that (1) D(1) = D(0) = 0 (2) D(p) = 1 for every prime p (3) D(n1n2) = n1D(n2) + n2D(n1) for every pair of non-negative integers n1, n2. 
Barbeau, E. J. Remarks on an Arithmetic Derivative. Canadian mathematical bulletin, Tome 4 (1961) no. 2, pp. 117-122. doi: 10.4153/CMB-1961-013-0
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     title = {Remarks on an {Arithmetic} {Derivative}},
     journal = {Canadian mathematical bulletin},
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     year = {1961},
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     number = {2},
     doi = {10.4153/CMB-1961-013-0},
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