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:

### External references: