Last Updated:2025/12/01
Sentence

その数学者は、正の整数 k が存在して n = 1 + k(σ(n) - n - 1) を満たす稀な自然数 n を発見したことで、約数の和の構造に新たな光を投じるだろうと考えていた。

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The mathematician suspected that the rare hyperperfect number they had discovered would shed new light on the structure of divisor sums.

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The mathematician suspected that the rare hyperperfect number they had discovered would shed new light on the structure of divisor sums.

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Related words

hyperperfect number

Noun
Japanese Meaning
数学・数論における用語で、ある正の整数 n が「hyperperfect number」であるとは、ある正整数 k が存在して、n = 1 + k(σ(n) - n - 1) の関係を満たす場合を指します。ここで、σ(n) は n の正の約数の和です。
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その数学者は、正の整数 k が存在して n = 1 + k(σ(n) - n - 1) を満たす稀な自然数 n を発見したことで、約数の和の構造に新たな光を投じるだろうと考えていた。

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