Some Notes on the Distribution of Mersenne Primes

References

[1] Q. Chen and P. Zhang, “A Math Treasure: Mersenne Primes,” Encyclopedic Knowledge, Vol. 32, No. 5, 2009, p. 22.

[2]
K. H. Rosen, “Elementary Number Theory and it’s Applications,” Published by arrangement with the original publisher, Pearson Education, Inc., publishing as Addision-Wesley, 2005.

[3] H. Z. Zhou, “The Distribution of Mersenne Primes,” Acta Scientiarum Naturalium Universitatis Sunyatseni, Vol. 31, No. 4, 1992, pp. 121-122.

[4]
J. Z. Zhang, “Zhou Conjecture Reveals the Beauty of Mathematics,” In: J. Z. Zhang, et al., Ed., 100 Cases of Scientific and Technological Achievements in Three Decades: 1978-2008, Children’s Press, Wuhan: Hubei, 2008, pp. 8-9.

[5]
S. W. Chen, “Conjecture on Distribution of Mersenne Primes,” Huanghuai Journal, Vol. 11, No. 4, 1995, pp. 44-46.

[6]
C. Pomerance, “Recent Developments in Primality Testing,” Mathematical Intelligencer, Vol. 3, No. 3, 1980, pp. 97-105.

[7]
S. Wagstaff, “Divisors of Mersenne Numbers,” Mathematics and Computation, Vol. 40, No. 38, 1983, pp. 385 -397.