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Little math problems September 2018
09-20-2018, 02:37 PM (This post was last modified: 09-21-2018 01:44 AM by Albert Chan.)
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Albert Chan Offline
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RE: Little math problems September 2018
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Sum of squares = cube, sum of cubes = square puzzle ...

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Smallest positive integer pair should be (2,2). 4 + 4 = 8, 8 + 8 = 16
Doing brute force for a <= b < 10000, these work too (besides 2,2)

128, 128 = 2*4^3, 2*4^3
625, 1250 = 5^3, 2*5^3
1458, 1458 = 2*3^3, 2*3^3
8192, 8192 = 2*16^3, 2*16^3

Edit: found the general form of sum of 2 squares a cube. Not sure if it cover all cases ...
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RE: Little math problems September 2018 - Albert Chan - 09-20-2018 02:37 PM



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