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#51 2013-05-08 09:44:55

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,665

Re: Prime sum of three term arithmetic progression?

It is lucky that you have not. It is a dilly.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#52 2013-05-08 09:46:33

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,523

Re: Prime sum of three term arithmetic progression?

Sure looks like 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

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#53 2013-05-08 09:48:28

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,665

Re: Prime sum of three term arithmetic progression?

It is a type of problem that occurs frequently and I have never really solved one, a simultaneous gf!!!!!


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#54 2013-05-08 09:53:29

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,523

Re: Prime sum of three term arithmetic progression?

Simultaneous gf?


“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

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#55 2013-05-08 09:54:24

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,665

Re: Prime sum of three term arithmetic progression?

Yep, 20 of them for that problem!


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#56 2013-05-08 11:08:56

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,523

Re: Prime sum of three term arithmetic progression?

What are simultaneous gfs?


“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

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#57 2013-05-08 12:06:19

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,665

Re: Prime sum of three term arithmetic progression?

That is a good question. The problem leads to 20 diophantine equations. Every diophantine equation of the linear type can be represented by a gf. Now they have to be solved in relation to each other to get the number of solutions for the entire system.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#58 2013-05-08 21:16:57

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,523

Re: Prime sum of three term arithmetic progression?

I am looking for a way to represent the whole thing with one multivariate gf.


“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

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#59 2013-05-09 05:17:20

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,665

Re: Prime sum of three term arithmetic progression?

I have not been having much luck with any approach at the moment.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#60 2013-05-20 05:32:17

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,847

Re: Prime sum of three term arithmetic progression?

Hi stefy,

anonimnystefy wrote:

Csbfc?

bobbym wrote:

Nope, CSBFC.

anonimnystefy wrote:

That is what I wrote, but the forum tirns it lower case automatically.

Apparently posts containing only upper-case words are changed to lower case (other than each word's first letter), but upper-case words in mixed-case posts keep their case.


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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