perplexus.info :: Numbers : p^7 + q^3 = r^2

p^7 + q^3 = r^2 (Posted on 2011-01-09)

Determine all possible triplets (p, q, r) of positive integers that satisfy this equation:

p⁷ + q³ = r², whenever gcd (p, q, r) = 1

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(p,q,r) = (1,2,3), and (2,17,71) are the only possible solutions.
For an explanation, refer to the analytic solution submitted by broll in this location.

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

Subject	Author	Date
some thoughts	broll	2011-01-10 04:16:12
re: sub-spoiler--another, via computer	Charlie	2011-01-09 18:04:51
sub-spoiler	Ady TZIDON	2011-01-09 12:26:48

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