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IMO Shortlist 1969 problem 7

1969 shortlist
(BUL 1) Prove that the equation \sqrt{x^3 + y^3 + z^3}=1969 has no integral solutions.

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1399IMO Shortlist 1969 problem 69
1969 shortlist
0
1396IMO Shortlist 1969 problem 66
1969 shortlist
0
1394IMO Shortlist 1969 problem 64
1969 shortlist
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1391IMO Shortlist 1969 problem 61
1969 shortlist
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1386IMO Shortlist 1969 problem 56
1969 shortlist
0
1383IMO Shortlist 1969 problem 53
1969 shortlist
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