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IMO Shortlist 1976 problem 11

1976 shortlist
Prove that 5^n has a block of 1976 consecutive 0's in its decimal representation.

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1234IMO Shortlist 1966 problem 51
1966 shortlist
0
1235IMO Shortlist 1966 problem 52
1966 shortlist
0
1237IMO Shortlist 1966 problem 54
1966 shortlist
0
1240IMO Shortlist 1966 problem 57
1966 shortlist
0
1259IMO Shortlist 1967 problem 3
1967 shortlist
1
1493IMO Shortlist 1976 problem 7
1976 invalid shortlist
0