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SOME IDENTITIES OF k-MERSENNE NUMBERS

Advances and Applications in Discrete Mathematics, 2017
Summary: In this study, we first examine \(k\)-Mersenne numbers. Then we obtain some identities on the \(k\)-Mersenne numbers.
Uslu, Kemal, Deniz, Vural
openaire   +2 more sources

Mersenne's Numbers

Nature, 1922
IN my presidential address to Section A of the British Association, reprinted in NATURE (September 16), I stated that 137 was the least value of n for which the prime or composite character of 2n–1 was still undecided. Mr. W. W. Rouse Ball has pointed out to me that this is incorrect, as 2137–1 has been shown to be composite by M. A.
openaire   +1 more source

New Vistas on Mersenne numbers

Proceeding International Conference on Science and Engineering, 2023
Mersenne numbers are analyzed for varieties of interesting properties. Various fascinating relations connecting Mersenne numbers with other special number patterns by means of theorems involving the relations are exhibited.
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Mersenne Numbers in Generalized Lucas Sequences

Proceedings of the Bulgarian Academy of Sciences
Let $$k \geq 2$$ be an integer and let $$(L_{n}^{(k)})_{n \geq 2-k}$$ be the $$k$$-generalized Lucas sequence with certain initial $$k$$ terms and each term afterward is the sum of the $$k$$ preceding terms. Mersenne numbers are the numbers of the form $$2^a-1$$, where $$a$$ is any positive integer.
Altassan, Alaa, ALAN, Murat
openaire   +2 more sources

Search Limits on Divisors of Mersenne numbers

BIT, 1962
On the urgent request of several coenthusiasts around the globe in the field of Factorization of Mersenne Numbers, the author publishes here for the first time the search limits on divisorsq of 2p āˆ’ 1, even when no divisor up to this limit was found. This list, therefore, should avoid time consuming double work.
openaire   +1 more source

Lucas's Tests for Mersenne Numbers

The American Mathematical Monthly, 1945
(1945). Lucas's Tests for Mersenne Numbers. The American Mathematical Monthly: Vol. 52, No. 4, pp. 188-190.
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Cancer treatment and survivorship statistics, 2022

Ca-A Cancer Journal for Clinicians, 2022
Kimberly D Miller   +2 more
exaly  

Divisors of Mersenne Numbers

Mathematics of Computation, 1965
D. S., Sidney Kravitz, Joseph S. Madachy
openaire   +1 more source

Proportion and number of cancer cases and deaths attributable to potentially modifiable risk factors in the United States

Ca-A Cancer Journal for Clinicians, 2018
Farhad Islami   +2 more
exaly  

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