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IMO Shortlist 1966 problem 54

1966 shortlist
We take 100 consecutive natural numbers a_{1}, a_{2}, ..., a_{100}. Determine the last two digits of the number a_{1}^{8}+a_{2}^{8}+...+a_{100}^{8}.

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1223IMO Shortlist 1966 problem 40
1966 shortlist
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1228IMO Shortlist 1966 problem 45
1966 shortlist
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1229IMO Shortlist 1966 problem 46
1966 shortlist
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1231IMO Shortlist 1966 problem 48
1966 shortlist
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