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#351 2013-04-02 17:54:08

mathaholic
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From: idk
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Re: Add 99 more and post it forever.

34661


It's summer.

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#352 2013-04-02 20:14:02

bobbym
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Re: Add 99 more and post it forever.

80^2 + 102^2 + 134^2 = 34760


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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#353 2013-04-03 11:11:13

mathaholic
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From: idk
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Re: Add 99 more and post it forever.

34869


It's summer.

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#354 2013-04-03 13:42:30

bobbym
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From: Bumpkinland
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Re: Add 99 more and post it forever.

92^2 + 98^2 + 130^2 = 34968


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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#355 2013-04-03 14:10:52

mathaholic
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From: idk
Registered: 2012-11-29
Posts: 2,919
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Re: Add 99 more and post it forever.

35067


It's summer.

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#356 2013-04-03 14:31:36

bobbym
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From: Bumpkinland
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Re: Add 99 more and post it forever.

94^2 + 101^2 + 127^2 = 35166


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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#357 2013-04-04 14:45:05

mathaholic
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From: idk
Registered: 2012-11-29
Posts: 2,919
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Re: Add 99 more and post it forever.

35265


It's summer.

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#358 2013-04-04 19:26:37

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 95,975

Re: Add 99 more and post it forever.

92^2 + 100^2 + 130^2 = 35364


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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#359 2013-04-06 11:58:52

mathaholic
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From: idk
Registered: 2012-11-29
Posts: 2,919
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Re: Add 99 more and post it forever.

35463


It's summer.

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#360 2013-04-06 19:53:18

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 95,975

Re: Add 99 more and post it forever.

92^2 + 97^2 + 133^2 = 35562


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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#361 2013-04-06 20:24:55

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 21,577
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Re: Add 99 more and post it forever.

35661

How are you getting those expansions?


'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'
'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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#362 2013-04-06 20:27:26

bobbym
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From: Bumpkinland
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Re: Add 99 more and post it forever.

By a program that does them for me.

52^2 + 116^2 + 140^2 = 35760


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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#363 2013-04-06 20:32:02

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 21,577
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Re: Add 99 more and post it forever.

35859

Mathematica?

Do you have a proof that this can be done as for all numbers?


'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'
'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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#364 2013-04-06 20:35:40

bobbym
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From: Bumpkinland
Registered: 2009-04-12
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Re: Add 99 more and post it forever.

Mathematica yes.

Sum of squares? Yes there is a proof.

74^2 + 91^2 + 149^2 = 35958


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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#365 2013-04-07 00:54:47

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 21,577
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Re: Add 99 more and post it forever.

36057

Will you please post 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'
'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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#366 2013-04-07 01:00:20

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 95,975

Re: Add 99 more and post it forever.

91^2 + 93^2 + 95^2 + 101^2 = 36156

PowersRepresentations[36156, 4, 2]//Last

yields:{91,93,95,101}

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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#367 2013-04-07 01:04:38

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 21,577
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Re: Add 99 more and post it forever.

36255

But ..... The proof?


'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'
'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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#368 2013-04-07 01:07:46

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 95,975

Re: Add 99 more and post it forever.

The proof? What proof are we talking about?

2 x 107^2 + 116^2 = 36354


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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#369 2013-04-07 01:48:50

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 21,577
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Re: Add 99 more and post it forever.

36453

bobbym wrote:

Sum of squares? Yes there is a proof


'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'
'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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#370 2013-04-07 01:56:18

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 95,975

Re: Add 99 more and post it forever.

I think it was Legendre who proved that 4 squares were enough for any number. The proof requires quarternions.

94^2 + 104^2 + 130^2 = 36552


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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#371 2013-04-07 13:03:19

mathaholic
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From: idk
Registered: 2012-11-29
Posts: 2,919
Website

Re: Add 99 more and post it forever.

36651


It's summer.

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#372 2013-04-07 13:09:11

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 95,975

Re: Add 99 more and post it forever.

109^2 + 110^2 + 113^2 = 36750


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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#373 2013-04-07 14:14:08

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 21,577
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Re: Add 99 more and post it forever.

36849

Is it like a complex hyperspace where both the axes are complex?
If ij =k then how can ji = -k, that makes sense?

Last edited by Agnishom (2013-04-07 14:16:17)


'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'
'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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#374 2013-04-07 14:17:13

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 95,975

Re: Add 99 more and post it forever.

Hi;

That I do not know because I know nothing about complex hyperspace.

92^2 + 110^2 + 128^2 = 36948


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

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

Offline

#375 2013-04-07 14:40:52

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 21,577
Website

Re: Add 99 more and post it forever.

37047

What about the proof, then?


'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'
'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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