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IMO Shortlist 1966 problem 54
1966
shortlist
We take
consecutive natural numbers
Determine the last two digits of the number
%V0 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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1231
IMO Shortlist 1966 problem 48
1966
shortlist
0
1229
IMO Shortlist 1966 problem 46
1966
shortlist
0
1228
IMO Shortlist 1966 problem 45
1966
shortlist
0
1227
IMO Shortlist 1966 problem 44
1966
shortlist
0
1225
IMO Shortlist 1966 problem 42
1966
niz
shortlist
tb
0
1223
IMO Shortlist 1966 problem 40
1966
shortlist
0