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**mathaholic****Member**- From: Earth
- Registered: 2012-11-29
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34661

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,872

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.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**mathaholic****Member**- From: Earth
- Registered: 2012-11-29
- Posts: 3,246

34869

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,872

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.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**mathaholic****Member**- From: Earth
- Registered: 2012-11-29
- Posts: 3,246

35067

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,872

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.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**mathaholic****Member**- From: Earth
- Registered: 2012-11-29
- Posts: 3,246

35265

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,872

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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**mathaholic****Member**- From: Earth
- Registered: 2012-11-29
- Posts: 3,246

35463

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,872

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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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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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,872

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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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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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,872

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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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'

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,872

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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36255

But ..... The proof?

'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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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,872

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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36453

bobbym wrote:

Sum of squares? Yes there is a proof

'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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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,872

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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**mathaholic****Member**- From: Earth
- Registered: 2012-11-29
- Posts: 3,246

36651

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,872

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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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)*

'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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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,872

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.**

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37047

What about the proof, then?

'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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