MathDB

INMO 2019 P4

Source:

January 20, 2019

Problem Statement

Let

n

and

M

be positive integers such that

M>n^{n-1}

. Prove that there are

n

distinct primes

p_1,p_2,p_3 \cdots ,p_n

such that

p_j

divides

M + j

for all

1 \le j \le n