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Produce More (Posted on 2012-05-29) Difficulty: 2 of 5
Among pairs of numbers whose sum is 16, 8*8=64 is the greatest possible product. However, if we allow for a sum of 17 then there are 3 distinct ways of achieving a higher product with two positive integers: 9*8, 10*7, and 11*6 are all greater than 64.

Among pairs of numbers whose sum is 2n, n*n=n2 is the greatest possible product. However, if we allow for a sum of 2n+1 then there are 2012 distinct ways of achieving a higher product with two positive integers.

Find the minimum value of n.

No Solution Yet Submitted by Jer    
Rating: 5.0000 (1 votes)

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re: A very tricky problem (spoiler) | Comment 3 of 5 |
(In reply to A very tricky problem (spoiler) by Steve Herman)

shouldn't 404814.25 be 4048143.75? The former is smaller than one million, let alone 4,046,133.
  Posted by Charlie on 2012-05-29 15:00:38

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