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Cubing the square (Posted on 2013-01-30) Difficulty: 3 of 5

I'm thinking of a number, x, whose last 3 digits are somewhere between 400 and 500.

You could probably guess from those digits that it might be a square or a cube, but in fact it turns out to be both, and in fact the smallest possible such number.

What are the prime factors of x?

Extra credit: feeling adventurous, I next computed the smallest number, y, having the same last 3 digits, that was a seventh power, as well as a square and a cube.

What are the prime factors of y?

See The Solution Submitted by broll    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(4): Programming and Excel Comment 8 of 8 |
(In reply to re(3): Programming and Excel by brianjn)

http://www.wolframalpha.com/ You can subscribe, or just sign up for the free version. It's wonderful.
  Posted by broll on 2013-01-31 03:14:19

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