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 primesLast 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.
tdulcet
commented
4 years ago
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