perplexus.info :: Just Math : Cube Difference Deduction

Cube Difference Deduction (Posted on 2014-12-12)

Consider the seven positive integers: 123, 1234, 12345, 123456, 1234567, 12345678 and 123456789.

How many of these seven numbers are expressible as the difference of cubes of two positive integers?

Submitted by K Sengupta

Rating: 5.0000 (2 votes)

Solution: (Hide)

642³ - 641³ =1234567
For an explanation, refer to Charlie's computer program assisted solution in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Rule of cubes	Math Man	2014-12-20 20:39:08
computer solution	Charlie	2014-12-12 17:48:48

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