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Near Fermat Nuance (Posted on 2016-08-30) Difficulty: 3 of 5
Consider the equation: X3 + Y3 = Z3, where

(i) Each of X and Y is a positive integer and

(ii) Z is a real number such that Z3 is a positive integer, and:

(ii) The four digits immediately following the decimal point in the base ten expansion of Z are 2, 0, 1 and 6 (in this order)

Find the three smallest values of X+Y

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Solutioncomputer solutionCharlie2016-08-30 15:03:22
Hints/Tipsc l a r i f i c a t i o n n e e d e d !Ady TZIDON2016-08-30 12:33:48
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