Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Following my answer to Algebraic Attacks on the Odd Perfect Number Problem, I would like to know whether the argument of quid, namely that if a hypothetic odd perfect number $n$ is such that $\displaystyle{n=\prod_{i}p_{i}^{e_{i}}}$, then $\forall i$ $\overline{\sigma}(p_{i})$, where $\overline{\sigma}$ maps $p_{i}$ to the product of the primes dividing $\sigma(p_{i}^{e_{i}})$, could be the product of several of the $p_{j}$, is compatible with the ABC conjecture. I kind of think there must exist an obstruction to this, but I can't exactly figure out which. Any help would be greatly appreciated.
Thanks in advance.

share|improve this question

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.