On the Distribution Properties of the Smarandache Prime Part
On the Distribution Properties of the Smarandache Prime Part
For each integer <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>n</mi> </math> , denote by <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <msub> <mrow> <mi>p</mi> </mrow> <mrow> <mi>p</mi> </mrow> </msub> <mfenced open="(" close=")" separators="|"> <mrow> <mi>n</mi> </mrow> </mfenced> </math> the largest prime <math xmlns="http://www.w3.org/1998/Math/MathML" id="M3"> <mo>≤</mo> <mi>n</mi> </math> and by <math xmlns="http://www.w3.org/1998/Math/MathML" id="M4"> <msub> <mrow> <mi>P</mi> </mrow> <mrow> …