very easy from number theory

. Let n be a positive integer and let a1, . . . , ak (k ≥ 2) be distinct

integers in the set{1, . . . , n} such that n divides ai(ai+1−1) for i = 1,

. . . , k−1. Prove that n does not divide ak( a1−1 ).

3 Answers

341
Hari Shankar ·

IMO 2009 (very easy number theory, huh?)

1
Che ·

@omkar

u must be crazy to call an IMO prob {VERY EASY} ;-)

1
Unicorn--- Extinct!! ·

[9]

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