What is the 1000th digit to the right of the decimal point in the decimal representation of (1+√2)^3000?

This problem can be solved by algebra alone, without the need for computers or calculators

This question is the toughest and until now, nobody has computed by means of their brain to 1000th digit of accuracy.

Edited on April 28, 2005, 2:28 pm

Posted by Jonathan Chang on 2005-04-28 14:27:37