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 Cubing the square (Posted on 2013-01-30)

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)

 Subject Author Date re(4): Programming and Excel broll 2013-01-31 03:14:19 re(3): Programming and Excel brianjn 2013-01-31 02:14:31 re(2): Programming and Excel broll 2013-01-31 02:02:37 re: Programming and Excel brianjn 2013-01-30 17:51:17 Programming and Excel brianjn 2013-01-30 17:37:24 computer solution Charlie 2013-01-30 15:56:53 found y, got bonus Jer 2013-01-30 14:51:54 x, not y but some thoughts Jer 2013-01-30 14:33:57

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