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comment Root of prime numbers
@MichaelHardy Very true. That's a useful generalization I hadn't thought of. For sake of my current notation though, the assumption is necessary. Thanks.
Dec
17
comment Root of prime numbers
Ah! Yes, for that approach you do need lowest terms. I prefer this one because the contradiction is more immediate.
Dec
17
comment Root of prime numbers
@CameronBuie Thanks. I'm just used to using natural numbers in the number theory sense. Also, I think since the contradiction lies in the fact that the left hand side has an odd number of terms in prime factorization, it doesn't matter if the fraction is reduced or not.
Dec
17
comment Root of prime numbers
I approved the edit, but since I specified natural numbers (which don't include $0$) I'm not entirely sure it was necessary.
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17
awarded  Custodian
Dec
17
reviewed Approve Root of prime numbers
Dec
17
answered Root of prime numbers
Dec
16
answered Meaning of a regular polytope