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Martin Lukarevski, a super-hard problem published by Cambridge: Let m be an arbitrary integer and let k=3m+1. Find all integer solutions x and y of the equation (x + y − k)(x + y + k)=1+xy.
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Martin Lukarevski, a super-hard problem published by Cambridge:

Let m be an arbitrary integer and let k=3m+1. Find all integer solutions x and y of the equation
(x + y − k)(x + y + k)=1+xy.

User Fredrik Stolpe
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Answer:

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User Paracycle
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