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- Thread starter Swamp Thing
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- #2

berkeman

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Depends. Is it possibly from a student trying to cheat in their coursework? Or it is obiously from some mathematician who is having trouble with a difficult problem at their work? I'm pretty sure you know our rules for schoolwork-type questions...

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berkeman

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How do you know it's not for coursework? Can you post a link?

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https://math.stackexchange.com/ques...roximations-of-logarithms-of-ratios-of-primesHow do you know it's not for coursework? Can you post a link?

- #6

berkeman

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Thanks, that looks like a general math question and not for schoolwork.

Since you find the general math question interesting, I think you can post it here in the math forums with your own LaTeX problem statement and show your initial work on it. Hopefully if we can help you out, in the end you can post a link at SE to our solution at PF just to show them where to go next time...

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OK, thanks -- I'll give it a couple of days more and then post here if still unanswered.

- #8

DrClaude

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Can't we answer it now? Please ?!?Since you find the general math question interesting, I think you can post it here in the math forums with your own LaTeX problem statement and show your initial work on it. Hopefully if we can help you out, in the end you can post a link at SE to our solution at PF just to show them where to go next time...

- #9

DrClaude

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It is pure numerology. Strip out all the fluff (namely the logarithms and the arbitrary 69324), and you are left with a broad and uninteresting statement. You have

$$

\frac{p_1}{p_2} \approx 2^{N/69324}

$$

Considering the extent of what the author thinks as acceptable values of ##N##, namely anything between 120050 and 599310, you can change the above equation to the inequality

$$

3 < \frac{p_1}{p_2} < 400

$$

So, given a prime ##p_2##, can you find another prime that is between 3 and 400 bigger? Yeah, I guess so

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