ფაილების კატალოგი

A PROOF OF THE ABC CONJECTURE!!!
A discovery #216
Made in Georgia (Caucasus) by Emzari Papava
Definition 1. Papava's least function
plf(c)=min{rad(ab) | a+b=c, gcd(a,b)=1}.
Definition 2. Papava's great function
pgf(c)=max{rad(ab) | a+b=c, gcd(a,b)=1}.
Conjecture 1. For every ε>0, there exist only finitely many c positive integers, sach that
c>(plf(c)rad(c))^(1+ε).
Conjecture 2. For every c>2 positive integers
c<pgf(c)rad(c).
A proof of the conjecture 1.
Now use mathematical induction for number of prime factors of c and we get a proof of the abc conjecture.