Encyclopedia > Abc Conjecture

  Article Content

Abc Conjecture

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

It states:

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

It is a conjecture and has not yet been proven.

See also:

External references:

All Wikipedia text is available under the terms of the GNU Free Documentation License

  Search Encyclopedia

Search over one million articles, find something about almost anything!
  Featured Article
Reformed churches

... is no longer necessarily typical of these churches. Table of contents 1 Continental Reformed churches 2 Reformed churches in Britain and Ireland 3 Reformed ...

This page was created in 61.7 ms