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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,737

Hmmmm. So I guess the rocket will only get 1 / 5 of the way to the moon?

**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
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Good enough.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,737

If that is all you can get.

**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: 15,673

With a better machine this Maxima code:

```
gf1(x):=ratexpand(ratsimp((gf(x))^1000));
sum(prime(i)*coeff(gf1(x),x^i),i,1,6000);
```

would get the needed answer.

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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: 90,737

Hi;

So what is the answer? Those men have been stuck in space for a long time.

**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
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It doesn't have enough memory to evaluate the sum...

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Do you have any other ideas that might help?

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

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**anonimnystefy****Real Member**- From: The Foundation
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Not really... Have you solved it?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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I was thinking about a method you might try.

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

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**anonimnystefy****Real Member**- From: The Foundation
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Which one?

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**bobbym****Administrator**- From: Bumpkinland
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You know that the lowest power in the expansion is 1000. The lowest prime in the expansion is 1009. What is the highest exponent in the expansion?

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

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**anonimnystefy****Real Member**- From: The Foundation
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6000. 5987 is the largest prime below 6000.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Does maxima have a Coefficients command?

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

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**anonimnystefy****Real Member**- From: The Foundation
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Didn't you see it get used in the code above. It's the coeff() function.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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It is a different command in geogebra!

Taking a little eating break.

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

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**anonimnystefy****Real Member**- From: The Foundation
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Geogebra?

Okay, see you later...

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**bobbym****Administrator**- From: Bumpkinland
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Geogebra has maxima inside it!

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**anonimnystefy****Real Member**- From: The Foundation
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I know that. But, why did you mention a function for coefficients?

*Last edited by anonimnystefy (2012-11-02 12:05:42)*

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**bobbym****Administrator**- From: Bumpkinland
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It is one of the ways you can get an answer. In geogebra it is Coefficients[poly,variable], notice I cannot pick out anyone I want without further processing.

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

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**anonimnystefy****Real Member**- From: The Foundation
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But it would have to sum all coefficients of prime-numbered powers if x, which is a lot of computing.

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**bobbym****Administrator**- From: Bumpkinland
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Yes, it is a tough problem. Ever heard of Doc Thorne?

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

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**anonimnystefy****Real Member**- From: The Foundation
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Yes. And only that-heard.

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**bobbym****Administrator**- From: Bumpkinland
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You have heard of him?

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**anonimnystefy****Real Member**- From: The Foundation
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Yes

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**bobbym****Administrator**- From: Bumpkinland
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That is why I posed this problem.

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

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