MathDB

number theory problem

Source: Moldova TST 2019

March 10, 2019

number theoryprime numbers

Problem Statement

Let

p\ge 5

be a prime number. Prove that there exist positive integers

m

and

n

with

m+n\le \frac{p+1}{2}

for which

p

divides

2^n\cdot 3^m-1.