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Knödel number — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Kn%C3%B6del_number
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-07T15:26:55.466Z
SHA-256 of the archived text: 16af9c48944c03de0b4d9fd5aef472e862ca4d39231c06807599523fee043092
Stable URL of this page: https://metraipolis.com/documento/dc_490f7eafceeb

How to cite

Knödel number — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Kn%C3%B6del_number (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_490f7eafceeb (Metraipolis archive dc_490f7eafceeb, sha256 16af9c48944c03de0b4d9fd5aef472e862ca4d39231c06807599523fee043092)

BibTeX

@misc{dc490f7eafceeb,
  title = {Knödel number — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Kn%C3%B6del_number},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_490f7eafceeb; sha256 16af9c48944c03de0b4d9fd5aef472e862ca4d39231c06807599523fee043092},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Kn%C3%B6del_number. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In number theory, an n-Knödel number for a given positive integer n is a composite number m with the property that each i < m coprime to m satisfies i m − n ≡ 1 ( mod m ) {\displaystyle i^{m-n}\equiv 1{\pmod {m}}} . The concept is named after Walter Knödel. The set of all n-Knödel numbers is denoted Kn. The special case K1 is the Carmichael numbers. There are infinitely many n-Knödel numbers for a given n. Due to Euler's theorem every composite number m is an n-Knödel number for n = m − φ ( m ) {\displaystyle n=m-\varphi (m)} where φ {\displaystyle \varphi } is Euler's totient function. A 1-Knödel number is commonly known as a Carmichael number, and a 3-Knödel number is also known as a D-number.

Tema degli esploratori: matematica e informatica teorica (deposito sistematico; categoria «Number theory»).
Fonte: Wikipedia in inglese, voce «Knödel number» — https://en.wikipedia.org/wiki/Kn%C3%B6del_number
Wikidata Q4346700 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q4346700
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Kn%C3%B6del_number?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1378729407, consultata il 2026-10-07T14:59:17.441Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 3bdb4334bc8db5a5d9e616e8dcff871b20f17142d8a8a9f32965c587047f7c8b