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