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Square sum with 5-6-7 (Posted on 2010-08-13) Difficulty: 3 of 5
Sloane’s sequences A025306, A025307 and A025308 gives the respective lists of positive integers (having at most 7 digits) that are the sum of 2 distinct nonzero squares in exactly n ways, whenever n= 5, 6 and 7.

Determine the respective maximum value and minimum value of an 8-digit base ten positive integer P, such that P is expressible as sum of 2 distinct nonzero squares in exactly n ways, whenever n = 5, 6 and 7. (P does not contain any leading zero.)

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Some ThoughtsSome boundsbroll2010-08-13 05:55:56
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