Etymograph

English

ideal number

Ideal number comes from German ideale Zahl.

  1. Germanc. 1650–presentideale Zahl
  2. Englishtodayideal number

attested reconstructed ? uncertain or disputed

Lineage

  1. Germanc. 1650–presentideale Zahl
  2. Englishtodayideal number

Made of the words ideal + number

Latin idea ‘idea’

Late Latin ideālis ‘existing in idea’

French idéal

English ideal

Proto-Indo-European *nem- ‘to distribute; to give, take’

Proto-Italic *nomezos

Latin numerus ‘number’

Anglo-Norman noumbre

Middle English number

English number

The story

Apparently a calque of German ideale Zahl, a concept in number theory developed by German mathematician Ernst Kummer (1810—1893) and later incorporated by Richard Dedekind into the ring theory concept of ideal.disputed Scholars disagree here; the competing view is quoted as the source gives it.

Today it means

noun An algebraic integer that represents an ideal in the ring of integers of a number field.

Language periods are conventional ranges, not dates for this word.

Etymograph / German ideale Zahl / ideal number