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Beal's conjecture is a conjecture in number theory:

where A, B, C, x, y, and z are positive integers with x, y, z > 2, then A, B, and C have a common prime factor.

Billionaire banker Andrew Beal formulated this conjecture in 1993 while investigating generalizations of Fermat's last theorem. It has been claimed that the same conjecture was independently formulated by Robert Tijdeman and Don Zagier, and it has also been referred to as the Tijdeman-Zagier conjecture.

For a proof or counterexample published in a refereed journal, Beal initially offered a prize of US $5,000 in 1997, raising it to $50,000 over ten years, but has since raised it to US $1,000,000.

Beal@Home
Start 2014
End October 2014
Status unknown
Admin Rysiu
Institution
Country Poland
Area Mathematics
Apps
Win Beal Engine 1.00
Linux
Mac
64bit Beal Engine 1.00 [win/linux]
PS3
ATI
CUDA
Intel
Android
RPi
NCI
System-Specs
VRAM SP DP
RAM
Runtime 3h9m
HDD 2MB
Traffic dl/ul kb / kb
Deadline 5 days
Checkpoints