2

Part of 2007 Greece Junior Math Olympiad

Problems(1)

Problem 2 - Juniors

Source: 24-th Hellenic Mathematical Olympiad

n

is is an integer such that

4n+3

is divisible by

11,

find the form of

n

and the remainder of

n^{4}

upon division by

11

modular arithmeticnumber theory proposednumber theory