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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,194

That is hard to say. For one thing, I would use commas between the commands instead of and. M is for experimenters so often you have to play with it.

**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**

```
In[21]:= FindInstance[{a > 0, b > 0, a \[Element] Primes,
b \[Element] Primes, a + b == 7777777777}, {a, b}, Integers]
During evaluation of In[21]:= FindInstance::nsmet: The methods available to FindInstance are insufficient to find the requested instances or prove they do not exist. >>
Out[21]= FindInstance[{a > 0, b > 0, a \[Element] Primes,
b \[Element] Primes, a + b == 7777777777}, {a, b}, Integers]
```

*Last edited by Agnishom (2014-03-04 16:12:24)*

'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'

'You made a human being happy! There is no further achievement.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,194

That one may demand some special attention.

**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**

Why?

BTW, I already told you that I've got some solutions for this one.

'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'

'You made a human being happy! There is no further achievement.' -bobbym

**Online**

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,194

Which one do you have solutions for?

**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**

```
33553879 7744223897
33553537 7744224239
33553517 7744224259
33553489 7744224287
33553313 7744224463
33553283 7744224493
33553027 7744224749
33552809 7744224967
33552697 7744225079
33552523 7744225253
33552047 7744225729
33552017 7744225759
33551983 7744225793
33551953 7744225823
33551849 7744225927
33551719 7744226057
33551677 7744226099
33551593 7744226183
33551509 7744226267
33551449 7744226327
```

'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'

'You made a human being happy! There is no further achievement.' -bobbym

**Online**

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,194

None of those are solutions. You have given M an impossible problem and it replied correctly. How can two odd numbers sum to odd?

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

The methods available to FindInstance are insufficient to find the requested instances or prove they do not exist.

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You made a human being happy! There is no further achievement.' -bobbym

**Online**

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,194

There is no solution to the question.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

*Last edited by Agnishom (2014-03-05 00:59:27)*

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You made a human being happy! There is no further achievement.' -bobbym

**Online**

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,194

So what is post 106 supposed to be?

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

Add up each of the rows

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You made a human being happy! There is no further achievement.' -bobbym

**Online**

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,194

I did.

7777777776 ≠ 7777777777

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

```
FindInstance[{a > 0, b > 0, a \[Element] Primes,
b \[Element] Primes, a + b == 7777777776}, {a, b}, Integers]
```

Does that work?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You made a human being happy! There is no further achievement.' -bobbym

**Online**

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,194

Nope it does not?!

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

I tried with 9903675222 and it did not work

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You made a human being happy! There is no further achievement.' -bobbym

**Online**

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,194

That just means that you can not use the FindInstance command for this particular problem. Sometimes algorithms do not get an answer.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

Sad, isn't it?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You made a human being happy! There is no further achievement.' -bobbym

**Online**

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,194

There are always other ways to do things.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

Yes, like talent and effort.

If you can not overcome with talent...overcome with effort.

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You made a human being happy! There is no further achievement.' -bobbym

**Online**

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,194

Did ARB say that?

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

Thank You for quoting Agnishom.

Now, please quote the last line of my sig too

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You made a human being happy! There is no further achievement.' -bobbym

**Online**

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,194

Who are you to judge everything?

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**