ATTENTION ! May be best viewed by INTERNET EXPLORER 5.0 or HIGHER |
THE THEOREM OF EL'KAHHAR STATES THAT ;
If we have integer parameters
r and q , such that ( r <> q )
We define the integer constants Q , Z , a , b , c ; k , l , m as following.
Then ;
And ;
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to see the related Mathematica program.
The following condition is also fulfilled;
( ax + bx + cx ) º ( kx + lx + mx ) mod ( a3 + b3 + c3 ) - ( k3 + l3 + m3 )
where (x) is any integer power .
Please click here to see the related Mathematica program.
If you want some more theorems on powers , then please click
Professor Chen
Shuwen's Equal Sums Of Like
Powers . It is one of the best in
the web. But
of course El'kahhar type of
equations are not given in these pages ,only some
other
power related studies are listed.
We
should present our gratitudes to Professor Chen Shuwen
for his immense work in math and science to prepare these pages.