I'm interested in taking an attempt of proving The New Mersenne Prime Conjecture, any outside input is welcome, why I'm opensourcing my efforts here over at GitHub. This is both an atempt at proving the mentioned mathematical conjecture as well as me experimenting doing mathematics in the same manner as open-source software.
The produced paper is found here: https://github.com/VictorieeMan/TheNewMersennePrimeConjecture/blob/main/LaTeX/TheNewMersennePrimeConjecture_VictorEkekrantz_2021.pdf
Here follows the conjecture;
Let p be any odd number. If two following conditions hold, then so does the third:
a) or
for some natural number k.
b) is prime (a Mersenne prime)
c) is prime (a Wagstaff prime)
- https://primes.utm.edu/mersenne/NewMersenneConjecture.html
- https://primes.utm.edu/mersenne/index.html
- https://en.wikipedia.org/wiki/Mersenne_conjectures#New_Mersenne_conjecture
- Bateman, P. T., J. L. Selfridge, and S. S. Wagstaff. “The Editor’s Corner: The New Mersenne Conjecture.” The American Mathematical Monthly 96, no. 2 (1989): 125–28. https://doi.org/10.2307/2323195.
- I do belive this to be the origin of The New Mersenne Prime Conjecture