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n = x2 + 1

n = y3 - 1

x2 + 1 = y3 - 1

x2 = y3 - 2

x = (y3 - 2).5

This means that you need to find all cubes where subtracting 2 yields a square:

Cubes:

1, 8, 27, 64, 125,...

(-2):

-1, 6, 25, 62, 123,...

(27,25) works.

n = 26

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Q: What 2 digit number is 1 more than a square and 1 less than a cube?
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