On the divisibility of odd perfect numbers by a high power of a prime
Tomohiro Yamada
Abstract
We study some divisibility properties of multiperfect numbers. Our main result is: if N=p1α1... psαs q12β1... qt2βt with β1, ..., βt in some finite set S satisfies σ(N)=ndN, then N has a prime factor smaller than C, where C is an effective computable constant depending only on s, n, S.
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