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IMO Shortlist 1983 problem 21

1983 shortlist
Find the greatest integer less than or equal to \sum_{k=1}^{2^{1983}} k^{\frac{1}{1983} -1}.

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1604IMO Shortlist 1983 problem 8
1983 shortlist
0
1607IMO Shortlist 1983 problem 11
1983 shortlist
0
1612IMO Shortlist 1983 problem 16
1983 shortlist
0
1613IMO Shortlist 1983 problem 17
1983 invalid shortlist
0
1620IMO Shortlist 1983 problem 24
1983 shortlist
0
1621IMO Shortlist 1983 problem 25
1983 shortlist
0