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# Abc Conjecture

The abc conjecture in number theory was first formulated by Oesterlé, Joseph[?] and Masser, David[?] in 1985.

It states:

For any $\epsilon > 0$ there exists a constant $C_{\epsilon} > 0$, such that for every triple of positive integers a, b, c satisfying $a + b = c$ and $\gcd(a,b) = 1$ we have $c < C_{\epsilon} rad(abc)^{1+\epsilon}$, where $rad(n)$ is the product of the distinct prime divisors of n.

It is a conjecture and has not yet been proven.

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