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
Westhampton Beach, New York

... New York. As of the 2000 census, the village had a total population of 1,902. Geography Westhampton Beach is located at 40°48'32" North, 72°38'46" West ...

 
 
 
This page was created in 25.5 ms