Wilson's theorem
necessary and sufficient condition for a number to be prime
Facts
8 properties- Instance of
- theorem
- Part of
- list of theorems[3]
- Defining formula
- (p-1)!+1 \equiv 0 \pmod p[5]
- Described by source
- Great Soviet Encyclopedia (1926–1947)[4]
- Maintained by WikiProject
- WikiProject Mathematics[8]
- Named after
- John Wilson[2]
- Studied by
- modular arithmetic, number theory[6][7]
🏷️ Also known as
en Wilson's theorem
ar نظرية ويلسون
ar مبرهنة ويلسون
cs Wilsonova věta
da Wilsons sætning
da Al-Haythams sætning
de Satz von Wilson
el θεώρημα Wilson
el θεώρημα Ουίλσον
es teorema de Wilson
fa قضیه ویلسون
fa قضیهٔ ویلسون
fi Wilsonin lause
fr théorème de Wilson
he משפט ווילסון
he משפט וילסון
hu Wilson-tétel
id teorema Wilson
it teorema di Wilson
ja ウィルソンの定理
🔖 Identifiers · 10
- Encyclopedia of Mathematics article ID
- Wilson_theorem
- Encyclopædia Britannica Online ID
- topic/Wilsons-theorem
- Freebase ID
- /m/01h428
- Great Russian Encyclopedia portal ID
- teorema-vil-sona-4a7958
- Lex ID
- Wilsons_sætning
- MathWorld ID
- WilsonsTheorem
- Metamath statement ID
- wilth
- Microsoft Academic ID (discontinued)
- 176119844
- Quora topic ID
- Wilsons-Theorem-1
- Treccani's Enciclopedia della Matematica ID
- teorema-di-wilson
🔗 Connections
Studied by 2
Created notable works 1
Instance of 1
Maintained by WikiProject 1
Named after 1
Part of 1
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Summary
Wilson's theorem is a theorem[1].