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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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Hints/Tips c l a r i f i c a t i o n n e e d e d ! | Comment 1 of 2

a. The second (ii) s.b. (iii).

b. (iii) "The decimal fraction of Z begins by a string 2016 " -sounds better than the present definition.

c. Both "and"s at the end of the first two statements do not belong to the statements, should be placed  between (i) & (ii) and (ii) & (iii).

d.  The period signs (.) at the sentences' ends are missing.

I wanted to change the title of my post,  since the puzzle might be solvable even with the text as it is - but apparently  this is not possible within the present system; - one of the long-existing bugs,  constantly ignored.

Edited on August 30, 2016, 1:02 pm
  Posted by Ady TZIDON on 2016-08-30 12:33:48

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