Distributions of Mersenne divisors
نویسندگان
چکیده
منابع مشابه
Divisors of Mersenne Numbers By Samuel
We add to the heuristic and empirical evidence for a conjecture of Gillies about the distribution of the prime divisors of Mersenne numbers. We list some large prime divisors of Mersenne numbers Mp in the range 17000 < p < 105.
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The study of the function β(n) originated in the paper of Nelson, Penney, and Pomerance [7], where the question was raised as to whether the set of Ruth-Aaron numbers (i.e., natural numbers n for which β(n) = β(n+ 1)) has zero density in the set of all positive integers. This question was answered in the affirmative by Erdős and Pomerance [5], and the main result of [5] was later improved by Po...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1966
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-66-99919-4