- #36
SW VandeCarr
- 2,199
- 81
Both 0 and 1 are mentioned as favorite numbers here. It's apparently assumed that by "number" we mostly mean the natural numbers or the non-negative integers. The latter includes 0. However 0 and 1 are neither prime numbers nor composite numbers. They are specifically excluded in the Fundamental Theorem of Arithmetic. Zero and one are algebraic identities. Zero is the additive identity and one is the multiplicative identity. The latter is the reason why 1 can't be prime. It is a "factor" of every natural number. To properly define "prime number" we must exclude 1.
It seems even mathematicians don't know exactly what to do with 0 and 1 in terms of classification. It all seems a bit awkward.
It seems even mathematicians don't know exactly what to do with 0 and 1 in terms of classification. It all seems a bit awkward.
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