Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫  π  -¹ ² ³ °

You are not logged in.

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

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

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

34661

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

Offline

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

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 103,709

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

Offline

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

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

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

34869

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

Offline

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

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 103,709

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

Offline

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

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

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

35067

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

Offline

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

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 103,709

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

Offline

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

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

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

35265

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

Offline

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

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 103,709

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

Offline

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

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

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

35463

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

Offline

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

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 103,709

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

Offline

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

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 23,536
Website

### 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.

Offline

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

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 103,709

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

Offline

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

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 23,536
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.

Offline

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

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 103,709

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

Offline

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

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 23,536
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.

Offline

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

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 103,709

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

Offline

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

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 23,536
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
From: Bumpkinland
Registered: 2009-04-12
Posts: 103,709

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

Offline

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

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 23,536
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
From: Bumpkinland
Registered: 2009-04-12
Posts: 103,709

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

Offline

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

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

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

36651

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

Offline

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

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 103,709

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

Offline

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

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 23,536
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.

Offline

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

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 103,709

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

Offline

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

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 23,536
Website

37047