完全数,円分数,及びABC予想
Perfect Numbers, Cyclotomic Numbers and ABC Conjecture

Yasuo Ohno, Takeshi Goto
2006 Nihon Oyo Suri Gakkai ronbunshi  
. Jenkins recently showed that an odd perfect number must be divisible by a prime greater than 107. The aim of this article is to give a new algorithm to obtain such a lower bound. The theory of cyclotomic numbers plays an important role in the algorithm . NN ' e also discuss some relation between cyclotomic Ilumbers and ABC conjecture .
doi:10.11540/jsiamt.16.3_187 fatcat:ueswzqynarh2pkrmstcn6yanum