MathDB

2

Part of 1983 Dutch Mathematical Olympiad

Problems(1)

last two digits

Source: Netherlands 1983

6/27/2009
Prove that if n n is an odd positive integer, then the last two digits of 2^{2n}(2^{2n\plus{}1}\minus{}1) in base 10 10 are 28 28.
modular arithmeticinequalities unsolvedinequalities