On the divisibility of odd perfect numbers by a high power of a prime

Details On the divisibility of odd perfect numbers by a high power of a prime On the divisibility of odd perfect numbers by a high power of a prime

2005-11-16

arxiv.org/abs/math/0511410v2

Mathematics

Number Theory

13 pages

Scientific paper

We study some divisibility properties of multiperfect numbers. Our main
result is: if $N=p_1^{\alpha_1}... p_s^{\alpha_s} q_1^{2\beta_1}...
q_t^{2\beta_t}$ with $\beta_1, ..., \beta_t$ in some finite set S satisfies
$\sigma(N)=\frac{n}{d}N$, then N has a prime factor smaller than C, where C is
an effective computable constant depending only on s, n, S.

Affiliated with

Also associated with

No associations

Rating

On the divisibility of odd perfect numbers by a high power of a prime does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the divisibility of odd perfect numbers by a high power of a prime, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the divisibility of odd perfect numbers by a high power of a prime will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-581311