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Arithmetic Product Puzzle (Posted on 2015-08-13)

Determine the smallest positive integer that is expressible as the product of three distinct positive integers in arithmetic sequence in precisely two ways.

What are the next two smallest positive integers with this property?

**** As an example, 105 is expressible as the product of three positive integers (3, 5 and 7) in arithmetic sequence in only one way as no other positive integer triplet in arithmetic sequence multiplies to 105.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The smallest positive integer that is expressible as the product of three distinct positive integers in arithmetic sequence in precisely two way is 231.
The next two smallest positive integers having this property are 440 and 504.
For an explanation, refer the computer program assisted solution submitted by Charlie in this location.

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

	Subject	Author	Date
	computer solution	Charlie	2015-08-13 14:52:35

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