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

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

34661


"Double the fun, double the thrill, double the coolness" - Julianthewiki

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

bobbym
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From: Bumpkinland
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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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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

mathaholic
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From: Juliania
Registered: 2012-11-29
Posts: 2,845
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Re: Add 99 more and post it forever.

34869


"Double the fun, double the thrill, double the coolness" - Julianthewiki

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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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

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

mathaholic
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From: Juliania
Registered: 2012-11-29
Posts: 2,845
Website

Re: Add 99 more and post it forever.

35067


"Double the fun, double the thrill, double the coolness" - Julianthewiki

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

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,571

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

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

mathaholic
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From: Juliania
Registered: 2012-11-29
Posts: 2,845
Website

Re: Add 99 more and post it forever.

35265


"Double the fun, double the thrill, double the coolness" - Julianthewiki

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

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,571

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

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

mathaholic
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From: Juliania
Registered: 2012-11-29
Posts: 2,845
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Re: Add 99 more and post it forever.

35463


"Double the fun, double the thrill, double the coolness" - Julianthewiki

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

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,571

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

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

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 16,758
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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'
'Humanity is still kept intact. It remains within.' -Alokananda

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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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

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

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 16,758
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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'
'Humanity is still kept intact. It remains within.' -Alokananda

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

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,571

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

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

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,758
Website

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'
'Humanity is still kept intact. It remains within.' -Alokananda

Online

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,571

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

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

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,758
Website

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'
'Humanity is still kept intact. It remains within.' -Alokananda

Online

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,571

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

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

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,758
Website

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'
'Humanity is still kept intact. It remains within.' -Alokananda

Online

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,571

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

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

mathaholic
Member
From: Juliania
Registered: 2012-11-29
Posts: 2,845
Website

Re: Add 99 more and post it forever.

36651


"Double the fun, double the thrill, double the coolness" - Julianthewiki

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,571

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

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

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,758
Website

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'
'Humanity is still kept intact. It remains within.' -Alokananda

Online

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,571

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

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

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,758
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'
'Humanity is still kept intact. It remains within.' -Alokananda

Online

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