4

Part of 2016 Auckland Mathematical Olympiad

Problems(2)

(m+n+p)/m+n) where m,n,p in {2,3,.., 9} (2016 Auckland MO J4)

Source:

m, n

p

are three different natural numbers, each between

2

9

, what then are all the possible integer value(s) of the expression

\frac{m+n+p}{m+n}

algebranumber theory

min positive value of 36^k - 5^m (2016 Auckland MO S4)

Source:

Find the smallest positive value of

36^k - 5^m

k

m

are positive integers.

number theoryminminimum