ფაილების კატალოგი

Made in Georgia (Caucasus) by Emzari Papava
fnGe --- fn function of Georgia
------------------------------------------
A NEW ABC CONJECTURE. If gcd(a,b)=1 and a+b=c then
c<f₂Ge(abc).
I am working a new fn function:
Definition. fnGe(a)=gcd(a, (rad(a))^n).
fnGe function is a generalization of rad function.
f₁Ge(a)=rad(a),
f₂Ge(a)=gcd(a, (rad(a))²),
f₂Ge(2⁷*3*5²*13⁴)=3*(5*2*13)².
Result 1. abc conjecture;
Result 2. Beal conjecture (Prize $1000 000);
Result 3. FLT;
and 100 unsolved open problems.