A note on the $\Sopfr(n)$ function

Details A note on the $\Sopfr(n)$ function A note on the $\Sopfr(n)$ function

2011-04-27

arxiv.org/abs/1104.5235v1

Mathematics

Number Theory

AmSTeX, 7 pages, amsppt style

Scientific paper

The $\Sopfr(n)$ function is defined as the sum of prime factors of $n$ each
of which is taken with its multiplicity. This function is studied numerically.
The analogy between $\Sopfr(n)$ and the primes distribution function is drawn
and some conjectures for prime numbers formulated in terms of the $\Sopfr(n)$
function are suggested.

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