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Re: Egyptian fractions
Posted:
Feb 21, 2013 8:29 AM


On 21/02/2013 13:18, jimward2@gmail.com wrote: > I figured out (with Wolfram Alpha): > > 2 = 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 + 1/9 + 1/10 + 1/15 + 1/230 + 1/57960
If you allow 1/1 you can do it in fewer :)
It's an easy exercise to prove that the obvious "greedy algorithm" always terminates successfully.



