“...can you sum up this article in a paragraph that makes sense to someone without a 180 IQ?”
Yes, I second that request.
"The abc conjecture refers to numerical expressions of the type a + b = c.
The statement, which comes in several slightly different versions, concerns the prime numbers that divide each of the quantities a, b and c.
Every whole number, or integer, can be expressed in an essentially unique way as a product of prime numbers—those that cannot be further factored out into smaller whole numbers:
for example, 15 = 3 × 5 or 84 = 2 × 2 × 3 × 7.
In principle, the prime factors of a and b have no connection to those of their sum, c.
But the abc conjecture links them together. It presumes, roughly, that if a lot of small primes divide a and b then only a few, large ones divide c."