Re: Digest Number 1605
- O.K., I'll bite
--- In firstname.lastname@example.org, "John W. Nicholson"
> Replace x with a^2+b^2, and y with c^2+d^2 then you have thisif all of the prime powers in the factorizations of both x and y are
> Equation (19).
such that none of the p^a==-1 mod 4, then the substitutions you
suggest can be made, otherwise they cannot (in integers anyway)
So the first question (after giving up on the WTF!? question) is, how
are the x & y that cannot be integrally expressed as the sum of two
squares to be disposed.
The second question is how do we leap to Wiles-FLT when our x & y have
differing exponents with severe constraints (base equals exponent of
the other and vice versa)?
> John W. NicholsonIf you sense it doesn't make sense (you are quite correct in my case
> Sorry if this does not make sense, let the questions start.
by the way), you should be able to anticipate the most likely
questions, thus you could start answering and clarifying those without
need of further input.
Are you saying Mark's findings ultimately represent proof of FLT,
Goldbach, twin prime conjecture and primes between squares?