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

mathaholic
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### Re: Add 99 more and post it forever.

34661

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

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
Always satisfy the Prime Directive of getting the right answer above all else.

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

mathaholic
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From: Earth
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Posts: 3,251

### Re: Add 99 more and post it forever.

34869

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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
Always satisfy the Prime Directive of getting the right answer above all else.

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

mathaholic
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From: Earth
Registered: 2012-11-29
Posts: 3,251

### Re: Add 99 more and post it forever.

35067

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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
Always satisfy the Prime Directive of getting the right answer above all else.

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

mathaholic
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From: Earth
Registered: 2012-11-29
Posts: 3,251

### Re: Add 99 more and post it forever.

35265

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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
Always satisfy the Prime Directive of getting the right answer above all else.

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

mathaholic
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From: Earth
Registered: 2012-11-29
Posts: 3,251

### Re: Add 99 more and post it forever.

35463

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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
Always satisfy the Prime Directive of getting the right answer above all else.

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

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,829
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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'
I'm not crazy, my mother had me tested.

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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
Always satisfy the Prime Directive of getting the right answer above all else.

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

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,829
Website

### 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'
I'm not crazy, my mother had me tested.

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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
Always satisfy the Prime Directive of getting the right answer above all else.

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

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,829
Website

### Re: Add 99 more and post it forever.

36057

'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'
I'm not crazy, my mother had me tested.

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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

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

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,829
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'
I'm not crazy, my mother had me tested.

Offline

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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

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

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,829
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'
I'm not crazy, my mother had me tested.

Offline

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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

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

mathaholic
Member
From: Earth
Registered: 2012-11-29
Posts: 3,251

### Re: Add 99 more and post it forever.

36651

Mathaholic | 10th most active poster | Maker of the 350,000th post | Person | rrr's classmate

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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

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

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,829
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'
I'm not crazy, my mother had me tested.

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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

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

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,829
Website

37047