Consider the equation x^2+y^5=z^3 where x, y, and z, are positive integers.
(A) Can you give at least three solutions to it?
(B) Determine whether or not there is an infinite number of solutions.
(In reply to
No Subject by Dennis)
My solution agrees exactly with the one posted 'Original'ly by Oskar. (In fact, I had even used the letter 'k' as the variable in my exponents, also! It is important of course to note that k must be a non-negative integer.)
It is interesting to see the other solutions that you have found, Dennis. My question is this; how did you ever find the second set of numbers that you listed? Did you write a program?
Good puzzle, Mr. Sengupta - thank you!
-John
re: No Subject
