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cperciva answered this according to the modern algebraic understanding in response to the parent. 1 is definitely not prime when you more fully categorize the e
by tel 13y ago
cperciva answered this according to the modern algebraic understanding in response to the parent. 1 is definitely not prime when you more fully categorize the elements of sets by their algebraic properties: the existence of units is a less singular phenomenon in other algebraic structures.
- btilly 13y agoYes. More abstractly, prime numbers are those that generate prime ideals. This is a definition which generalizes to much more complex algebraic structures. However the last vestiges of the question about what definition was most natural didn't get settled until surprisingly recently.
- tel 13y agoOh, sorry for being presumptuous then. I'm not aware of the recent history.