# p-adic valuation of integers

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)



## [p-adic valuation of integers](https://ocme.evemisslab.com/en/atlas/atlas-p-adic-valuation-integers/)

For prime p and nonzero integer a, v_p(a) is the largest exponent of p dividing |a|; this node fixes v_p(0)=infinity.

atlas-p-adic-valuation-integers · canonical_mko

[p-adic valuation of integers](https://ocme.evemisslab.com/en/mko/mko-p-adic-valuation-integers/)

## Prerequisite nodes


- [Prime natural number](https://ocme.evemisslab.com/en/atlas/atlas-prime-number/)
- [Natural-number divisibility](https://ocme.evemisslab.com/en/atlas/atlas-natural-divisibility/)
- [Unique prime factorization of integers](https://ocme.evemisslab.com/en/atlas/atlas-unique-prime-factorization/)
- [Integer](https://ocme.evemisslab.com/en/atlas/atlas-integer/)
- [Absolute value](https://ocme.evemisslab.com/en/atlas/atlas-absolute-value/)