4

Part of 2003 Austrian-Polish Competition

Problems(1)

product of alpine numbers is alpine, when m divides 2^{2n+1} + 1

Source: Austrian Polish 2003 APMC

A positive integer

m

m

2^{2n+1} + 1

for some positive integer

n

. Show that the product of two alpine numbers is alpine.

dividesdivisibleProductnumber theory