Can you solve the following equation?
½ = 1/x² + 1/y² +...+ 1/z²
All variables must be different, positive integers, and there must be a finite number of terms.
(In reply to
An eleven terms solution by e.g.)
e.g.: Excellent job. For those who might be skeptical, I offer the following.
The product of your numbers is P=5832x10^10 the square of which is then P^2=34012224x10^20. Summing P^2 divided by the square of each of your numbers does give exactly P^2/2:
(8503056 + 3779136 + 2125764 + 1360488.96 + 944784 + 236196 + 37791.36 + 13604.8896 + 3401.2224 + 1511.6544 + 377.9136)x10^20 = 17006112x10^20.

Posted by Richard
on 20040921 21:40:53 