Canadian Mathematical Society www.cms.math.ca
 location:  Publications → journals → CMB
Abstract view

# On a Question of Buium

Published:2000-06-01
Printed: Jun 2000
• José Felipe Voloch
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
 Format: HTML LaTeX MathJax PDF PostScript

## Abstract

We prove that $\{(n^p-n)/p\}_p \in \prod_p \mathbf{F}_p$, with $p$ ranging over all primes, is independent of $1$ over the integers, assuming a conjecture in elementary number theory generalizing the infinitude of Mersenne primes. This answers a question of Buium. We also prove a generalization.
 MSC Classifications: 11A07 - Congruences; primitive roots; residue systems

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/