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: 185

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: Harlan's World
Registered: 2011-05-23
Posts: 16,016

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
The knowledge of some things as a function of age is a delta function.


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

From: Bumpkinland
Registered: 2009-04-12
Posts: 105,709

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.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.


Board footer

Powered by FluxBB