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Topic: The non existence of p'th root of any prime number, for (p>2)
prime

Replies: 71   Last Post: Dec 16, 2017 8:46 AM

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 bursejan@gmail.com Posts: 5,511 Registered: 9/25/16
Re: The non existence of p'th root of any prime number, for (p>2) prime
Posted: Feb 21, 2017 7:28 AM

Am Dienstag, 21. Februar 2017 13:23:04 UTC+1 schrieb burs...@gmail.com:
> We only have D_n =\= (105)^(1/3) for each n, since
> (105)^(1/3) is an irrational number, whereas D_n
> for each n is a rational number.

Well we could also have D_n =\= r, for a rational r, when
r doesn't have an exact finite representation. For example
0.333... = 1/3, here D_n =\= r, although r rational.

But when r is irrational, we know for sure D_n =\= r,
irrespective of the integer basis. If we consider non-
integer basis, what Erdös et al. did, things are different.

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