On prime divisors of Mersenne numbers [PDF]
Acta Arithmetica, 1991 Carl Pomerance, Péter Kiss, Paul Erdős
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On All of Mersenne's Numbers Particularly M(193). [PDF]
Proc Natl Acad Sci U S A, 1948 Uhler HS.
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A new multiple image encryption algorithm using hyperchaotic systems, SVD, and modified RC5. [PDF]
Sci RepAlexan W +6 more
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TurboBlom: A light and resilient key predistribution scheme with application to Internet of Things. [PDF]
PLoS OneKhabbazian M +2 more
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There Are Infinitely Many Mersenne Primes
This paper explores Mersenne primes of the form 2p-1 where, p is a prime. By extension, the paper also explores Perfect numbers. An insight into these numbers is explored using novel methods that involve the trigonometric functions with integer factorable arguments.
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Pipelined and conflict-free number theoretic transform accelerator for CRYSTALS-Kyber on FPGA. [PDF]
PLoS OneWaris A, Aziz A, Khan BM.
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Which factors influence plan reuse in a sequential posture selection task? [PDF]
Front PsycholSchütz C.
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Red light and biostimulants containing arbuscular mycorrhizal fungi enhance ajmalicine and serpentine production in Catharanthus roseus under indoor conditions. [PDF]
Sci RepQuadri A +9 more
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A Note on the Decimal Expansion of Reciprocals of Mersenne Primes
The aim of this note is to study, in the realm of Midy's theorem, arithmetic properties of digital blocks in the base-10 expansion of \(1 / M_p\), with \(M_p=2^p-1\) a Mersenne prime. If \(p\) divides the period length \(L\) of \(1/M_p\), one can partition the periodic part into \(p\) blocks, each of length \(\ell\).
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