The largest value b for which the Frobenius equation

where the are positive integers, b is an integer, and the solutions are nonnegative integers has no solution is known as the Frobenius number.

Computation of the Frobenius number will be implemented in a a future version of Mathematica.

 

Coin Problem, Frobenius Equation, Greedy Algorithm, McNugget Number, Postage Stamp Problem