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Near Fermat Nuance (Posted on 2016-08-30)

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

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

• The three smallest values of x+y are 191, 278 and 333
For an explanation, refer to the Computer program assisted solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
computer solution	Charlie	2016-08-30 15:03:22
c l a r i f i c a t i o n n e e d e d !	Ady TZIDON	2016-08-30 12:33:48

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