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In mathematics, Midy's theorem, named after French mathematician E. Midy, is a statement about the decimal expansion of fractions a/p where p is a prime and a/p has a repeating decimal expansion with an even period (sequence in the OEIS). If the period of the decimal representation of a/p is 2n, so that then the digits in the second half of the repeating decimal period are the 9s complement of the corresponding digits in its first half. In other words, For example,

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• Midy's theorem
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• In mathematics, Midy's theorem, named after French mathematician E. Midy, is a statement about the decimal expansion of fractions a/p where p is a prime and a/p has a repeating decimal expansion with an even period (sequence in the OEIS). If the period of the decimal representation of a/p is 2n, so that then the digits in the second half of the repeating decimal period are the 9s complement of the corresponding digits in its first half. In other words, For example,
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• Midy's Theorem
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• In mathematics, Midy's theorem, named after French mathematician E. Midy, is a statement about the decimal expansion of fractions a/p where p is a prime and a/p has a repeating decimal expansion with an even period (sequence in the OEIS). If the period of the decimal representation of a/p is 2n, so that then the digits in the second half of the repeating decimal period are the 9s complement of the corresponding digits in its first half. In other words, For example,
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