14

Part of 2016 Purple Comet Problems

Problems(2)

Purple Comet 2016 HS Problem 14

Source:

Find the greatest possible value of

pq + r

, where p, q, and r are (not necessarily distinct) prime numbers satisfying

pq + qr + rp = 2016

Purple Cometnumber theoryprime numbers

Purple Comet 2016 MS Problem 14

Source:

Find the number of positive integers

n

such that a regular polygon with

n

sides has internal angles with measures equal to an integer number of degrees.