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Old 02-12-2009   #7 (permalink)
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Question How'd you do that, Don?!

Quote:
Originally Posted by Don Blazys View Post
30^4+120^4+272^4+315^4=353^4, m=4, n=4.
, Don!

Not only is this a solution, the program in post #5 confirms that it’s the first solution – that is, 353 is the least b for which a n=m=4 solution exists.

How did you find it? It took my program nearly 23 million operations (nearly 5 minutes on my clunky old 2004 laptop) to find this (it’s a lot faster when told to ignore m>4 than the hour or so it took to find a m=5 solution ignoring only m greater than it has already found).

Unless you’re using a computer program, or you’re a neuroatypical savant, you’ve got to be using some techniques (or intuitions) much better than my program’s, as humans can’t check millions of numbers overnight!

Inquiring minds want to know how you did it.


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