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Reserve Exponents With Higher Probability of Being a Mersenne Prime #4

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Danc2050 opened this issue Sep 30, 2019 · 1 comment
Open

Reserve Exponents With Higher Probability of Being a Mersenne Prime #4

Danc2050 opened this issue Sep 30, 2019 · 1 comment
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enhancement New feature or request help wanted Extra attention is needed

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@Danc2050
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Danc2050 commented Sep 30, 2019 •
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The graph at the bottom of this page can be used to infer exponents that are probabilistically likely to be prime (i.e., by using the standard deviation of the graph -- using LibreCalc is one suggestion by Teal).

If anyone wanted to pick this idea up and implement it, I give that opportunity freely here... I'm busy with school, so don't know when I will get back to it realistically.

Standard Deviations
- Gimp Numbers: 26303282.12
- All Mersenne Primes: 21923345.62 ~= 21923346
- Last 10 Mersenne Primes: 21477597.23

Calculating range of primes
Last Exponent discovered to involve a Mersenne Prime: 82589933
Last Exponent + STD DEV of All Mersenne Primes*: 82589933 + 21923346 = 104,513,279

Thus, all exponents in the range 82,589,933 - 104,513,279 should be explored first and foremost.

STDDEV(MERSENNE).zip
@tdulcet tdulcet added enhancement New feature or request help wanted Extra attention is needed labels Oct 1, 2019
@Danc2050 Danc2050 changed the title Reserve Exponents With Higher Probability of being a mersenne prime Reserve Exponents With Higher Probability of Being a Mersenne Prime Oct 4, 2019
@tdulcet
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tdulcet commented Feb 2, 2020 •
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Also see this thread, specifically this post and the attachments. In addition, see this post and the attached graph.

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@tdulcet @Danc2050