Results 121 to 130 of about 200 (167)

Mersenne Primes, Irrationality and Counting Subgroups

Bulletin of the London Mathematical Society, 1997
The author continues his studies on counting congruence subgroups in arithmetic subgroups [see ibid. 26, 255-262 (1994; Zbl 0849.11066)]. In this paper he considers the question of counting subgroups of \(p\)-power index in a group \(G_I\) which is the product of alternating groups \(A_{p^a}\) for \(a\in I\), where \(I\) is some subset of \(\mathbb{N}\)
openaire   +1 more source

On some geometry of Mersenne primes

Periodica Mathematica Hungarica, 1994
A possible connection between Mersenne primes and certain geometrical structures is implied. Here the authors consider the structures \((\mathbb{Z}_ q,{\mathcal B}_ p^ \#, \in)\) resulting from a planar nearring \((\mathbb{Z}_ q, +, *)\), where \(q= M_ p\) is a Mersenne prime, \(\mathbb{Z}_ q\) denotes the integers modulo \(q\), \(*\) is a ...
Clay, J. R., Yeh, Y.-N.
openaire   +1 more source

Mersenne composites and cyclotomic primes

The Mathematical Gazette, 2003
One of the long-standing problems of number theory, appealing to professional and recreational mathematicians alike, is the existence of Mersenne primes. These puzzling primes, for example 7, 31, 127 and 8191, are of the form 2 P - 1, where p is itself a prime.
openaire   +1 more source

Where is the next mersenne prime hiding?

The Mathematical Intelligencer, 1983
Almost identical to the paragraph 3.5 of the author's book reviewed above.
openaire   +2 more sources

Testing Mersenne Primes with Elliptic Curves

2006
The current primality test in use for Mersenne primes continues to be the Lucas-Lehmer test, invented by Lucas in 1876 and proved by Lehmer in 1935. In this paper, a practical approach to an elliptic curve test of Gross for Mersenne primes, is discussed and analyzed.
Song Y. Yan, Glyn James
openaire   +1 more source

Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
exaly  

Merci-A New Mersenne Prime

Science, 1992
openaire   +3 more sources

Decimal Expansion of Mersenne Primes

Mathematics of Computation, 1968
J. W. W., M. Lal
openaire   +1 more source

The other side of Mersenne Primes

Mersenne numbers, (2^n)-1, with natural number n, are like pay dirt, containing dirt and apparent gold. They entice us to ask: which of these numbers are prime, which are not, and if not, why not - especially the shiny ones? We address the "why not?" of that question here, exploring the nature of all Mersenne composites, the other side of Mersenne ...
openaire   +1 more source

Mersenne Primes and Perfect Numbers

Mathematics of Computation, 1972
J. W. W., Rudolf Ondrejka
openaire   +1 more source