(Single Side Band)
Posted in Uncategorized on 08/01/2009 03:58 am by adminprove FLT on a single sided page mathematically .?
if a^(n)=c^(2)-b^(2)
let b=c-a^(R) HERE R RANGES FROM -INFINITY TO +INFINITY AND SELECTION OF R MUST BE DONE VERY CAREFULLY.
PUTTING THE VALUE OF b IN THE EQUATION WE GET
c=a^(n)+a^(2R)/2a^(R) AND b=a^(n)-a^(2R)/2a^(R)
putting a as 3 AND n as 2 and selecting R as 2 we get the famous equation
3^(2)+4^(2)=5^(2)
this fact along with the fact that
“THERE LIES A COMMON FACTOR BETWEEN a,band c WHEN a=b+c”
SIR FERMATS LAST THEOREM CAN BE PROVED VERY EASILY ON A SINGLE SIDED PAGE.
Fermat’s Last Theorem states that, for an integer n > 2, there are no non-zero integers x,y,z such that x^n + y^n = z^n. What you wrote above does not prove this. Yes, we know that 3^2 + 4^2 = 5^2, but there are no integers such that x^3 + y^3 = z^3. If you still think your explanation actually proves this, please explain more.
“There lies a commmon factor between a,b,c when a=b+c”. For your example, 9+16=25, the common factor is 1. This does not, in any way, prove FLT. You cannot just end a proof with a vague statement and not show how it proves what you’re trying to prove. How do the two facts 9+16=25 and “common factor when a=b+c” relate to prove FLT?
Update: I think you are confused as to what FLT is. I stated it correctly above and the link below has a great explanation. I believe you’re trying to prove that there are an infinite number of integers x,y,z such that x^2 = y^2 + z^2. Of course this is true, and has been known for a long time. They’re called Pythagorean triples. FLT excludes the case n=2. Read the link below for more information.
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