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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,603

I have no idea.

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Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,791

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,603

Hm? I just expanded the GF.

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Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,791

And the method to get the prime coefficients?

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,603

```
gf[x_] := Expand[Sum[x^i/6, {i, 1, 6}]^1000]
CoefficientList[gf[x], x][[
Table[1 + Prime[i], {i, 169, 783}]]] // Total
```

That's my code for the problem.

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Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,791

That does not get the right answer?!

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,603

Subtract that from 1.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,791

Are you sure?

**In mathematics, you don't understand things. You just get used to them.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,603

Yes, I am.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,791

Hi;

**In mathematics, you don't understand things. You just get used to them.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,603

That is not what I am getting.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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```
gf[x_] := Expand[Sum[x^i/6, {i, 1, 6}]^1000]
1 - CoefficientList[gf[x], x][[
Table[1 + Prime[i], {i, 169, 783}]]] // Total
```

You are running that?

**In mathematics, you don't understand things. You just get used to them.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,603

No.

```
gf[x_] := Expand[Sum[x^i/6, {i, 1, 6}]^1000]
CoefficientList[gf[x], x][[
Table[1 + Prime[i], {i, 169, 783}]]] // Total
```

*Last edited by anonimnystefy (2013-12-13 05:55:00)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Okay, then you subtract from 1. I see.

**In mathematics, you don't understand things. You just get used to them.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,603

Yes.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Now do you see if there is any value to the question?

**In mathematics, you don't understand things. You just get used to them.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,603

Because it cannot be solved by hand?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Yes, so it is a good exercise for using M.

**In mathematics, you don't understand things. You just get used to them.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,603

Okay, that much I got. is there any other way other than just brute force expanding, eg., an asymptotic form or something?

8...

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Yes, there are many ways.

**In mathematics, you don't understand things. You just get used to them.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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Like what?

5...

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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They are all computationally intensive but an asymptotic form is possible. Also, there is my paper on this problem except much, much larger.

**In mathematics, you don't understand things. You just get used to them.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,603

Can you post the link?

4...

*Last edited by anonimnystefy (2013-12-13 10:38:18)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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I do not have a link but I have notes on it.

**In mathematics, you don't understand things. You just get used to them.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,603

Can you post them somehow?

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