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

You are not logged in.

#1101 2013-02-01 02:34:12

anonimnystefy
Real Member

Offline

Re: Bafflers?

It doesn‘t mean that the drawing is correct and isn‘t missing a solution...

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#1102 2013-02-01 02:41:04

bobbym

Online

Re: Bafflers?

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

#1103 2013-02-24 21:48:48

bobbym

Online

Re: Bafflers?

New Problem:

C is playing with the diophantine equation
5*a + 25*b  + n*c = r.
He would like to find the largest integer value of n so that for every integer r > 30 the equation has a solution. He asks our distinguished panel:

A says) Thanks to Weirstrass and Poincare we know there is no way to find the answer.

B says) I think you mean Cayley, anyway I have the answer.

C says) Ah yes, Poincare! It is obvious that n = 1 is the only answer.

D says) Poincare?

E says) One is not the answer.

Can you find n?

Last edited by bobbym (2013-02-24 21:49:11)

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

#1104 2013-03-01 02:17:49

anonimnystefy
Real Member

Offline

Re: Bafflers?

Should a,b and c be integers?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#1105 2013-03-01 02:26:21

bobbym

Online

Re: Bafflers?

Hi;

Yes they should.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

#1106 2013-04-08 10:42:29

anonimnystefy
Real Member

Offline

Re: Bafflers?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#1107 2013-04-08 10:50:26

bobbym

Online

Re: Bafflers?

Hi;

I do not remember what the answer is, do you require it?

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

#1108 2013-04-08 10:53:00

anonimnystefy
Real Member

Offline

Re: Bafflers?

Not immediately. I would like to check it, though.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#1109 2013-04-08 11:06:06

bobbym

Online

Re: Bafflers?

How did you get that answer?

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

#1110 2013-04-08 11:07:09

anonimnystefy
Real Member

Offline

Re: Bafflers?

By checking.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#1111 2013-04-08 11:11:02

bobbym

Online

Re: Bafflers?

Yes, but what did you check?

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

#1112 2013-04-08 11:15:10

anonimnystefy
Real Member

Offline

Re: Bafflers?

I figured out n cannot be greater than 31 and that it must be one of the numbers 31, 26, 21, 16, 13, 11, 8, 7, 6, 4, 3, 2, 1. I checked if the equation has solutions for r=31, 32, 33 and 34, and the largest of the aforementioned numbers for which those equations had solutions was 8. What do you get?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#1113 2013-04-08 11:17:12

bobbym

Online

Re: Bafflers?

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

#1114 2013-04-08 11:19:19

anonimnystefy
Real Member

Offline

Re: Bafflers?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#1115 2013-04-08 11:20:59

bobbym

Online

Re: Bafflers?

Hi;

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

#1116 2013-04-08 11:21:25

anonimnystefy
Real Member

Offline

Re: Bafflers?

Which?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#1117 2013-04-08 11:24:24

bobbym

Online

Re: Bafflers?

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

#1118 2013-04-08 11:28:35

anonimnystefy
Real Member

Offline

Re: Bafflers?

The first one I get. The second one I do not. Can you explain it?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#1119 2013-04-08 11:32:13

bobbym

Online

Re: Bafflers?

Table[{k, FrobeniusNumber[{5, 25, k}]}, {k, 2, 27}]

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

#1120 2013-04-08 11:36:44

anonimnystefy
Real Member

Offline

Re: Bafflers?

Hm, and you look for the first number in the table which is less than or equal to 30, right?

Last edited by anonimnystefy (2013-04-08 11:37:11)

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#1121 2013-04-08 11:40:41

bobbym

Online

Re: Bafflers?

Yes, can you explain the command used?

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

#1122 2013-04-08 11:42:04

anonimnystefy
Real Member

Offline

Re: Bafflers?

Table or FrobeniusNumber?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#1123 2013-04-08 11:45:35

bobbym

Online

Re: Bafflers?

Table, why was 27 too much?

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

#1124 2013-04-08 11:48:32

anonimnystefy
Real Member

Offline

Re: Bafflers?

Because it is obvious we cannot make 31 with {5,25,27}.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#1125 2013-04-08 11:53:15

bobbym

Online

Re: Bafflers?

Yep! We are done.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.