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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: ( You must be logged in to post comments.)
  Subject Author Date
re(4): Programming and Excelbroll2013-01-31 03:14:19
re(3): Programming and Excelbrianjn2013-01-31 02:14:31
re(2): Programming and Excelbroll2013-01-31 02:02:37
re: Programming and Excelbrianjn2013-01-30 17:51:17
Programming and Excelbrianjn2013-01-30 17:37:24
Solutioncomputer solutionCharlie2013-01-30 15:56:53
Solutionfound y, got bonusJer2013-01-30 14:51:54
x, not y but some thoughtsJer2013-01-30 14:33:57
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