Revision as of 22:23, 21 April 2009 by Vipul
Brocard's problem asks for all pairs of positive integers such that:
The only known solutions are . The s that occur as part of such solution pairs are termed Brown numbers. It is conjectured that there are no other solutions.
- abc conjecture implies that the number of solutions to this equation is finite. Further information: anc conjecture implies finitely many Brown numbers