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#101 2014-03-04 04:45:20

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,105

Re: Four Squares Reborn

That is hard to say. For one thing, I would use commas between the commands instead of and. M is for experimenters so often you have to play with it.


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#102 2014-03-04 16:09:13

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,191
Website

Re: Four Squares Reborn

In[21]:= FindInstance[{a > 0, b > 0, a \[Element] Primes, 
  b \[Element] Primes, a + b == 7777777777}, {a, b}, Integers]

During evaluation of In[21]:= FindInstance::nsmet: The methods available to FindInstance are insufficient to find the requested instances or prove they do not exist. >>

Out[21]= FindInstance[{a > 0, b > 0, a \[Element] Primes, 
  b \[Element] Primes, a + b == 7777777777}, {a, b}, Integers]

Last edited by Agnishom (2014-03-04 16:12:24)


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#103 2014-03-04 16:14:21

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,105

Re: Four Squares Reborn

That one may demand some special attention.


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#104 2014-03-04 16:19:20

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,191
Website

Re: Four Squares Reborn

Why?

BTW, I already told you that I've got some solutions for this one.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Online

#105 2014-03-04 16:21:58

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,105

Re: Four Squares Reborn

Which one do you have solutions for?


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#106 2014-03-04 17:18:14

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,191
Website

Re: Four Squares Reborn

33553879 7744223897
33553537 7744224239
33553517 7744224259
33553489 7744224287
33553313 7744224463
33553283 7744224493
33553027 7744224749
33552809 7744224967
33552697 7744225079
33552523 7744225253
33552047 7744225729
33552017 7744225759
33551983 7744225793
33551953 7744225823
33551849 7744225927
33551719 7744226057
33551677 7744226099
33551593 7744226183
33551509 7744226267
33551449 7744226327

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Online

#107 2014-03-04 20:36:14

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,105

Re: Four Squares Reborn

None of those are solutions. You have given M an impossible problem and it replied correctly. How can two odd numbers sum to odd?


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#108 2014-03-05 00:45:18

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,191
Website

Re: Four Squares Reborn

The methods available to FindInstance are insufficient to find the requested instances or prove they do not exist.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Online

#109 2014-03-05 00:51:04

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,105

Re: Four Squares Reborn

There is no solution to the question.


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#110 2014-03-05 00:58:54

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,191
Website

Re: Four Squares Reborn

big_smile tongueuptongue

Last edited by Agnishom (2014-03-05 00:59:27)


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Online

#111 2014-03-05 01:04:28

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,105

Re: Four Squares Reborn

So what is post 106 supposed to be?


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#112 2014-03-05 01:07:54

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,191
Website

Re: Four Squares Reborn

Add up each of the rows


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Online

#113 2014-03-05 01:11:29

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,105

Re: Four Squares Reborn

I did.

7777777776 ≠ 7777777777


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#114 2014-03-05 01:13:22

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,191
Website

Re: Four Squares Reborn

FindInstance[{a > 0, b > 0, a \[Element] Primes, 
  b \[Element] Primes, a + b == 7777777776}, {a, b}, Integers]

Does that work?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Online

#115 2014-03-05 01:21:59

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,105

Re: Four Squares Reborn

Nope it does not?!


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#116 2014-03-05 01:44:51

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,191
Website

Re: Four Squares Reborn

I tried with 9903675222 and it did not work


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Online

#117 2014-03-05 01:59:45

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,105

Re: Four Squares Reborn

That just means that you can not use the FindInstance command for this particular problem. Sometimes algorithms do not get an answer.


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#118 2014-03-05 02:02:51

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,191
Website

Re: Four Squares Reborn

Sad, isn't it?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Online

#119 2014-03-05 02:12:11

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,105

Re: Four Squares Reborn

There are always other ways to do things.


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#120 2014-03-05 02:15:35

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,191
Website

Re: Four Squares Reborn

Yes, like talent and effort.

If you can not overcome with talent...overcome with effort.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Online

#121 2014-03-05 02:19:19

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,105

Re: Four Squares Reborn

Did ARB say that?


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#122 2014-04-01 01:16:40

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,191
Website

Re: Four Squares Reborn

Thank You for quoting Agnishom.

Now, please quote the last line of my sig too


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Online

#123 2014-04-01 01:58:22

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,105

Re: Four Squares Reborn

Who are you to judge everything?


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

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

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