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a.) For which n>2 is there a set of n consecutive positive integers such that the largest number in the set is a divisor of the least common multiple of the remaining n-1 numbers?

b.) For which n>2 is there exactly one set having this property?

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1405IMO Shortlist 1970 problem 47
1496IMO Shortlist 1976 problem 100
1569IMO Shortlist 1981 problem 122
1592IMO Shortlist 1982 problem 161
1642IMO Shortlist 1985 problem 12
1960IMO Shortlist 1997 problem 42