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A new type of criteria for the first case of Fermat's last theorem. - MaRDI portal

A new type of criteria for the first case of Fermat's last theorem. (Q1457371)

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scientific article; zbMATH DE number 2595355
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English
A new type of criteria for the first case of Fermat's last theorem.
scientific article; zbMATH DE number 2595355

    Statements

    A new type of criteria for the first case of Fermat's last theorem. (English)
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    1924
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    Als ein neues notwendiges Kriterium für das Bestehen von \[ x^p+y^p+z^p=0 \] in zur ungeraden Primzahl \(p\) teilerfremden ganzen Zahlen \(x, y, z\) wird die (von \(x, y, z\) unabhängige) Kongruenz \[ 1+\frac{1}{2^2}+\cdots +\frac{1}{\left[ \frac p3 \right]^2} \equiv 0 \pmod p \] hergeleitet.
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    first case of Fermat's last theorem
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