# Mobius function

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Mobius function](https://ocme.evemisslab.com/en/atlas/atlas-mobius-function/)

On positive integers, complete prime multiplicities determine the Mobius function: mu(1)=1, a repeated prime gives0, and a squarefree integer has the parity sign.

atlas-mobius-function · canonical_mko

[Mobius function](https://ocme.evemisslab.com/en/mko/mko-mobius-function/)

## Prerequisite nodes


- [Prime natural number](https://ocme.evemisslab.com/en/atlas/atlas-prime-number/)
- [Unique prime factorization of integers](https://ocme.evemisslab.com/en/atlas/atlas-unique-prime-factorization/)
- [Function mapping](https://ocme.evemisslab.com/en/atlas/atlas-function-mapping/)