This is known as the normality conjecture for pi.
Next Smale proved the generalized Poincaré conjecture for all dimensions greater than or equal to five.
British mathematician Klaus Roth had proved the conjecture for three-term progressions in 1953.
Finally, Grigori Perelman proved the conjecture for three dimensions in 2006.
That was Stephen Smale of Berkeley, who in 1960 proved the conjecture for surfaces of five dimensions and higher.
What caused the wave, and the extent of the damage that resulted, have been matters of conjecture for centuries.
Szemerédi proved the conjecture for four-term progressions in 1969 and for progressions of any length in 1975.
Whether Santa Cruz would have succeeded in the invasion of England has been a topic of conjecture for historians.
So as much as I would love to describe the whole conjecture for you, this is exactly the point where I promised I would stop.
Dr. Wiles had worked on the problem in secrecy, much as, in the book, Mr. Doxiadis's Petros had worked on Goldbach's conjecture, for more than seven years.
His interest in the last two led to his working on the Langlands Program, where he solved Langlands' conjecture for a special but important case concerning Galois groups.
