The highest number that cannot be formed using the integers 6, 9, and 20 is known as the Frobenius number for this set. The discussion confirms that this number is below one million and emphasizes the importance of addition rather than multiplication in generating sums. Participants suggest using computational methods to identify sequences of consecutive integers that can be formed, which would indicate the largest unformable number. Resources such as the McNugget Number and Coin Problem from MathWorld provide further insights into solving this problem.
PREREQUISITESMathematicians, computer programmers, and enthusiasts interested in number theory and combinatorial problems will benefit from this discussion.
What do mean by "make"? Are you talking about adding them together or multiplying or some other combination of arithmetic operations?BR24 said:What is the highest number you cannot make with the numbers 6, 9, or 20. Integers obviously. if you don't understand what i am asking, for example, you can't make 14, so which is the largest number you can't make since once you get so high you can make every number. Is there a quick or mathematical way to do this besides brute force and guessing?