4

Part of 2019 Austrian Junior Regional Competition

Problems(1)

sum of 4 primes with 5 <p <q <r <s <p + 10 is divisible by 60

Source: 2019 Austrian Mathematical Olympiad Junior Regional Competition , Problem 4

p, q, r

s

be four prime numbers such that

5 <p <q <r <s <p + 10.

Prove that the sum of the four prime numbers is divisible by

60

.
(Walther Janous)

number theoryprimesdivisibledivides