Math Is Fun Forum

mathaholic

Member

From: Earth

Registered: 2012-11-29

Posts: 3,251

Re: Add 99 more and post it forever.

34661

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

bobbym

bumpkin

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.

mathaholic

Member

From: Earth

Registered: 2012-11-29

Posts: 3,251

Re: Add 99 more and post it forever.

34869

---

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

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.

mathaholic

Member

From: Earth

Registered: 2012-11-29

Posts: 3,251

Re: Add 99 more and post it forever.

35067

---

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

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.

mathaholic

Member

From: Earth

Registered: 2012-11-29

Posts: 3,251

Re: Add 99 more and post it forever.

35265

---

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

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.

mathaholic

Member

From: Earth

Registered: 2012-11-29

Posts: 3,251

Re: Add 99 more and post it forever.

35463

---

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

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.

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,996

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.

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.

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,996

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.

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.

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,996

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

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.

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,996

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.

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.

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,996

Website

Re: Add 99 more and post it forever.

36453

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.

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.

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

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.

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,996

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.

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.

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,996

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