document.write( "Question 1210348: x, y, z ∈ Z³
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Algebra.Com's Answer #851999 by AnlytcPhil(1806) $\"\"$ $\"About$

You can put this solution on YOUR website!
1210348
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document.write( "I kept on using the same technique, trying powers of 2 for x and y and\r\n" );
document.write( "found all these solutions, and corrected the one I mis-punched my\r\n" );
document.write( "calculator on.\r\n" );
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document.write( "(x,y,z) = (1,1,1422464), (1,-1,1422464), (-1,1,1422464), (-1,-1,1422464).\r\n" );
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document.write( "These others give 4 solutions in the same way: \r\n" );
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document.write( "So, except for the 1st solution above, we could generalize on the others this\r\n" );
document.write( "way.  Maybe Ikleyn can prove this generalization for them:\r\n" );
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document.write( "for n = 0,1,2,3,4 \r\n" );
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document.write( "But I'm still not sure there are any other solutions. I said I was sure I had\r\n" );
document.write( "all of them before, and then found these and had to eat my words. LOL\r\n" );
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document.write( "Edwin

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