MathDB

Find the largest n

Source: Baltic Way 2009

November 30, 2009

analytic geometrypigeonhole principlenumber theory unsolvednumber theory

Problem Statement

Find the largest integer

n

for which there exist

n

different integers such that none of them are divisible by either of

7,11

13

, but the sum of any two of them is divisible by at least one of

7,11

and

13