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Midy's theorem

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 A028416 in the OEIS). If the period of the decimal representation of a/p is 2n, so that

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Proof of Midy's theorem, Midy's theorem in other bases & Extended Midy's theorem

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Explore the main themes, entities and connections around Midy's theorem. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Proof of Midy's theorem

4 related topics

Midy's theorem in other bases

3 related topics

Extended Midy's theorem

1 related topics

Overview

10 related topics

Topics to explore

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Overview

Extended Midy's theorem

Midy's theorem in other bases

Proof of Midy's theorem

Advanced semantic analysis

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Map overview Semantic statistics

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Midy's theorem

Nodes23
Edges22
Triples16
Avg. degree1.91
Density0.086957
Components1

How this topic connects Entity context

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Midy's theorem

Top relations

related to Extended Midy's theorem · 6
Midy's theorem → Dividing, For, If, Midy's, Similarly, The
related to Proof of Midy's theorem · 5
Midy's theorem → However, Let, Midy's, Short, Suppose
related to External links · 3
Midy's theorem → Eric, MathWorld, Weisstein
related to Midy's theorem in other bases · 2
Midy's theorem → For, Midy's

Important terminology Word statistics

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Important terminology

displaystyle midy's theorem frac period base decimal overline bk -1 repeating multiple expansion dots 999 2n prime integer extended 19

Entity relationships Subject–Predicate–Object triples

Extracted RDF-like relationships with confidence and source. The table includes structured facts and lower-confidence contextual relations.
SubjectPredicateObjectConfidenceSrc
Midy's theoremrelated to Extended Midy's theoremIf0.60section
Midy's theoremrelated to Extended Midy's theoremMidy's0.60section
Midy's theoremrelated to Extended Midy's theoremThe0.60section
Midy's theoremrelated to Extended Midy's theoremFor0.60section
Midy's theoremrelated to Extended Midy's theoremDividing0.60section
Midy's theoremrelated to Extended Midy's theoremSimilarly0.60section
Midy's theoremrelated to External linksWeisstein0.60section
Midy's theoremrelated to External linksEric0.60section
Midy's theoremrelated to External linksMathWorld0.60section
Midy's theoremrelated to Midy's theorem in other basesMidy's0.60section
Midy's theoremrelated to Midy's theorem in other basesFor0.60section
Midy's theoremrelated to Proof of Midy's theoremShort0.60section

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