MathDB

18

Part of 1991 IMO Shortlist

Problems(1)

Highest degree for 3-layer power tower (IMO ShortList 1991)

Source: IMO ShortList 1991, Problem 18 (BUL 1)

8/15/2008
Find the highest degree k k of 1991 1991 for which 1991k 1991^k divides the number 1990^{1991^{1992}} \plus{} 1992^{1991^{1990}}.
algebrabinomial theoremnumber theoryDivisibilityIMO Shortlist