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#1101 2013-01-31 03:34:12

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,919

Re: Bafflers?

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


“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.

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#1102 2013-01-31 03:41:04

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 94,585

Re: Bafflers?


In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

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#1103 2013-02-23 22:48:48

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 94,585

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 (2013-02-23 22:49:11)


In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

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#1104 2013-02-28 03:17:49

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,919

Re: Bafflers?

Should a,b and c be integers?


“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.

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#1105 2013-02-28 03:26:21

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 94,585

Re: Bafflers?

Hi;

Yes they should.


In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

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#1106 2013-04-07 12:42:29

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,919

Re: Bafflers?

Is 8 the answer?


“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.

Offline

#1107 2013-04-07 12:50:26

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 94,585

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.

If it ain't broke, fix it until it is.

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#1108 2013-04-07 12:53:00

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,919

Re: Bafflers?

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


“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.

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#1109 2013-04-07 13:06:06

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 94,585

Re: Bafflers?

How did you get that answer?


In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

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#1110 2013-04-07 13:07:09

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,919

Re: Bafflers?

By checking.


“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.

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#1111 2013-04-07 13:11:02

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 94,585

Re: Bafflers?

Yes, but what did you check?


In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

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#1112 2013-04-07 13:15:10

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,919

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?


“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.

Offline

#1113 2013-04-07 13:17:12

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 94,585

Re: Bafflers?


In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

Offline

#1114 2013-04-07 13:19:19

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,919

Re: Bafflers?


“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.

Offline

#1115 2013-04-07 13:20:59

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 94,585

Re: Bafflers?

Hi;


In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

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#1116 2013-04-07 13:21:25

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,919

Re: Bafflers?

Which?


“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.

Offline

#1117 2013-04-07 13:24:24

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 94,585

Re: Bafflers?


In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

Offline

#1118 2013-04-07 13:28:35

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,919

Re: Bafflers?

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


“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.

Offline

#1119 2013-04-07 13:32:13

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 94,585

Re: Bafflers?

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


In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

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#1120 2013-04-07 13:36:44

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,919

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 (2013-04-07 13:37:11)


“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.

Offline

#1121 2013-04-07 13:40:41

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 94,585

Re: Bafflers?

Yes, can you explain the command used?


In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

Offline

#1122 2013-04-07 13:42:04

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,919

Re: Bafflers?

Table or FrobeniusNumber?


“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.

Offline

#1123 2013-04-07 13:45:35

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 94,585

Re: Bafflers?

Table, why was 27 too much?


In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

Offline

#1124 2013-04-07 13:48:32

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,919

Re: Bafflers?

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


“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.

Offline

#1125 2013-04-07 13:53:15

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 94,585

Re: Bafflers?

Yep! We are done.


In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

Offline

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