Abc Conjecture

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

It states:

For any there exists a constant , such that for every triple of positive integers a, b, c satisfying and we have , where is the product of the distinct prime divisors of n.

It is a conjecture and has not yet been proven.

See also:

• greatest common divisor (gcd)

External references:

• http://mathworld.wolfram.com/abcConjecture.html
• http://www.math.unicaen.fr/~nitaj/abc.html