Download PDFOpen PDF in browserThe abc Conjecture: The Proof of c<rad^2(abc)EasyChair Preprint no. 31608 pages•Date: April 13, 2020AbstractIn this note, I present a very elementary proof of the conjecture $c<rad^2(abc)$ that constitutes the key to resolve the $abc$ conjecture. The method concerns the comparison of the number of primes of $c$ and $rad^2(abc)$ for large $a,b,c$ using the prime counting function $\pi(x)$ giving the number of primes $\leq x$. Some numerical examples are given. Keyphrases: elementary number theory, Real functions of one variable, The prime counting function
