关于奇完全数的Euler因子及其次数

On the Euler's factor and its order of odd perfect numbers

设 π、α分别是奇完全数 n的 Euler因子及其次数 ,并证明了 :当 n的非 Euler因子 q都满足 q≡ 3( mod 4 )时 ,π≡α( mod 8) .

Let n be an odd perfect number, and let π,α denote the Euler's factor and its order of n respectively. In this paper we proved that if every non Euler factor q of n satisfies q≡3(mod 4), then π≡α(mod 8) .