MathCastle
Number TheoryChallengeFactors & Multiples

Factors & Multiples · Challenge problem

Every integer can be written as 7x+11y7x + 11y with x,yx, y integers, since gcd⁡(7,11)=1\gcd(7, 11) = 1. But how many positive integers CANNOT be written as 7x+11y7x + 11y with x,y≥0x, y \ge 0?