Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2014-07-14 05:15:30

Registered: 2012-12-13
Posts: 160

frobenius problem

A country has three denominations of coins, worth 7, 10, and 53 units of value. What is the maximum number of units of currency which one cannot have if they are only carrying these three kinds of coins?

I know the formula for 2 denominations, but I don't know how to do one with 3.

I see you have graph paper.
You must be plotting something


#2 2014-07-14 05:17:42

Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,400

Re: frobenius problem

I am getting
but I do not know how to prove that.

Last edited by anonimnystefy (2014-07-14 05:17:59)

“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment


#3 2014-07-14 05:19:23

From: Bumpkinland
Registered: 2009-04-12
Posts: 84,657

Re: frobenius problem

There is no formula for the a three coin problem but it can computed. 46 is the Frobenius number.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.


Board footer

Powered by FluxBB