3

Part of 2014 APMO

Problems(1)

x^3+x is a surjection mod n

Source: APMO 2014 Problem 3

Find all positive integers

n

such that for any integer

k

there exists an integer

a

a^3+a-k

is divisible by

n

.
Warut Suksompong, Thailand

modular arithmeticquadraticsnumber theoryprime numbersDivisibilityHi