How about 0^2 + 3^0 = 7^0? 3 and 7 do not have a common factor.
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Similarly, Texas cattle baron C. Hanson Wanker (1905-1989) offered a prize of $1 million to anyone who could prove that his massive herds were NOT the physical manifestation of Christ’s Second Coming. Many tried but the smell in the yards was quite overpowering.
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Was that really his surname?
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of course x,y,z must be greater than two, otherwise we could have trivial pythagorean counterexamples (eg 3^2 + 4^2 = 5^2)
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X Y Z should be different i guess
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Repost God i tried this for months
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3^3 + 6^3 = 3^5 7^3 + 7^4 = 14^3 2^n + 2^n = 2^(n+1)
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Easy: 7^3 + 13^2 = 2^9.
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2^9 = 8^3
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