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Re:The Connection That Changed Number Theory by zmgsabst on Saturday November 04, 2023 @08:27PM (#38146703)
You can’t uniquely factor if you include units, which in the naturals is 1.

You’d also remove every other prime number, since in general we can say that a prime isn’t divisible by a smaller prime.

That we have to add “except 1” to both the factoring theorem and the definition of prime itself is why we don’t include 1 as a prime.

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