# Sylvester's Postage Stamp Problem

Sylvester's Postage Stamp Problem

What is the greatest positive integer such that the Diophantine equation has no solution in non-negative integers? If and are relatively prime numbers, the equation has a solution in integers for any integer and has a solution in non-negative integers for any integer greater than .

c

ax+by=c

a

b

c

c

ab-2