Re: Conjecture (FLT related): another karzeddin-like conjecture



The following conjecture was inspired by Karzeddin's
posts ...

Conjecture:

If a,b are positive integers greater than 2, and x,y
are coprime
positive integers greater than 1, then the prime
factorization of
x^a+y^b includes at least one prime factor with
exponent at most 2.
The same is true for x^a-y^b with the two exceptions
x=2,a=3,y=3,b=2
and x=3,b=2,y=2,a=3.

Remarks:

The truth of the above conjecture would yield an
instant alternative
proof of FLT.

In fact, the above conjecture also implies the truth
of The Beal
Conjecture.

quasi

Quasi, the strong hand in supporting science

I'm happy that Quasi's conjectures are still challenging, not only because they support mine, but also because they are very enlighting

I will be more happy if any body can refute them or prove them, because then, we can learn something new

I wonder now where are the mathematicians who are having all the benefits of mathematics are hiding !

Do they live on other planet?
Do they search mathematics in other Galaxies?
Do they live in a higher dimention than ours?
Are they still working in SECRETS?
Is working in secret is a good habit?
Can they guarantee there secrets will see the light?
Do they really exist?

All the success Quasi

with regards

Bassam Karzeddin
Al-Hussein Bin Talal University
JORDAN
.



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