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 Produce More (Posted on 2012-05-29)
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)

 Subject Author Date Solution John Dounis 2012-06-13 06:30:27 re(2): A very tricky problem (spoiler) Steve Herman 2012-05-29 15:34:49 re: A very tricky problem (spoiler) Charlie 2012-05-29 15:00:38 A very tricky problem (spoiler) Steve Herman 2012-05-29 13:45:57 Possible solution broll 2012-05-29 11:53:19

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