Reserve Exponents With Higher Probability of Being a Mersenne Prime

[Danc2050]

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]

Also see this thread, specifically this post and the attachments. In addition, see this post and the attached graph.