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arXiv 2510.01752math.NT
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高阶奇仿射多重完全数

Odd Spoof Multiperfect Numbers Of Higher Order

László Tóth

AI总结:

本研究将奇仿射多重完全数的研究拓展至仿射因子重数超2的高阶情形,识别出11个满足特定素因子重数条件即可成为奇多重完全数的新整数,并给出示例验证,拓展了相关数论研究的范围。

摘要:

我们将此前关于奇仿射多重完全数的研究拓展至仿射因子重数超过2的情形。通过该拓展,我们识别出11个新整数:若它们的某一个素因子具有更高重数,这些数就会成为奇多重完全数。示例为181545,若其仅有的素因子3的重数为5,它就会是一个奇多重完全数。

英文摘要:

We extend our previous work on odd spoof multiperfect numbers to the case where spoof factor multiplicities exceed $2$. This leads to the identification of $11$ new integers that would be odd multiperfect numbers if one of their prime factors had higher multiplicity. An example is $181545$, which would be an odd multiperfect number if only one of its prime factors, $3$, had multiplicity $5$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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