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All zeroes solution (
Posted on 20130901
)
Let
a,b,c
be integers such that
a^6+2b^6=4c^6
Show that
a=b=c=0
is the only possible solution.
No Solution Yet
Submitted by
Ady TZIDON
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another
Comment 3 of 3 
Setting one of a,b,c = 0 doesn't give integer solutions.
For a,b,c > 0 we can assume no common factor >1 since we can always factor it out.
But then a=even which forces b=even which forces c=even which is a contradiction.
Posted by
xdog
on 20130902 11:19:26
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