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Does this infinite series have a closed form?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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\[ \sum_{i=1}^{\infty} \frac{1}{p_i^{p_i}} \] Where \(p_i\) is the ith prime.
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It appears to approach this since the terms die off really quickly: \[S \approx 0.287358...\] Does that resemble anything you've seen before? All I can say is it's slightly larger than e/10. Hahaha. http://www.wolframalpha.com/input/?i=1%2F2%5E2%2B1%2F3%5E3%2B1%2F5%5E5%2B...&t=crmtb01
Empty
  • Empty
Turns out base e and base 10 are more related than we thought? Ok probably not haha.

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ganeshie8
  • ganeshie8
https://oeis.org/A094289
ganeshie8
  • ganeshie8
looks there isn't much online on this series
anonymous
  • anonymous
http://math.stackexchange.com/questions/1344000/what-is-known-about-the-sum-sum-frac1pp-of-reciprocals-of-primes-raised-to

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