perplexus.info :: Numbers : x^3 = y^2

x^3 = y^2 – 15 (Posted on 2010-07-08)

Determine all possible pair(s) (x, y) of positive integers that satisfy the equation: x³ = y² – 15

Submitted by K Sengupta

Rating: 3.3333 (3 votes)

Solution: (Hide)

Dej Mar found (x, y)=(1,4) and (109, 1138)
Other members only surmised that there are no further solutions without providing a definitive proof.

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

Subject	Author	Date
re: Catalan Conjecture	broll	2010-07-10 16:12:14
Catalan Conjecture	Brian Smith	2010-07-10 12:24:32
re(3): Fascinating	ed bottemiller	2010-07-09 15:00:27
re(2): Fascinating	broll	2010-07-09 14:20:51
analytical start (dead end?)	Steve Herman	2010-07-09 13:56:50
re: Fascinating	ed bottemiller	2010-07-09 12:36:35
Fascinating	broll	2010-07-09 10:59:38
re(2): Solution	Dej Mar	2010-07-08 16:10:50
re: Solution	ed bottemiller	2010-07-08 14:37:36
Solution	Dej Mar	2010-07-08 13:35:16
Start (and end?)	ed bottemiller	2010-07-08 12:51:26

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