The Impact of Mersenne Primes on the Perfection of Numbers
Abstract:This research introduces a novel structural perspective on even perfect numbers, moving beyond the classical summation definition toward an "Anatomy of Disintegration." The study proposes that perfection is an absolute settlement between four internal pillars: the Dividend, the Divisor, the Result, and the inherent "Numerical Potential" (Baza ...
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An Algebraic Approach to Symmetric Linear Layers in Cryptographic Primitives
, 2022 Subroto RC.
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The Mersenne Chain Reactor: A Physical Saturation Law for Mersenne Primes
Abstract The search for Mersenne primes at astronomical scales has reached a physical bottleneck: as numbers grow, the energy and time required for arithmetic verification become prohibitive on classical processors. Here we report a fundamental paradigm shift in the physics of computation and information.
Moustafa Ibrahim +2 more
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Unbreakable distributed storage with quantum key distribution network and password-authenticated secret sharing. [PDF]
Sci Rep, 2016 Fujiwara M +5 more
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A Strongly Connected Topology on the Mersenne Numbers [PDF]
In the present work, we introduce a new topology on the set of Mersenne numbers. This topology is Strongly Connected in the sense that it is hyperconnected and ultraconnected.
MACIAS, JHIXON
core +1 more source
Entropy, Periodicity and the Probability of Primality. [PDF]
Entropy (Basel)Croll GJ.
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Conic curve encryption and digital signature based on complex number theory for cybersecurity applications. [PDF]
Sci RepKamal A +3 more
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Extending the IEEE 802.15.4 security suite with a compact implementation of the NIST P-192/B-163 elliptic curves. [PDF]
Sensors (Basel), 2013 de la Piedra A, Braeken A, Touhafi A.
europepmc +1 more source
Joint assembly and genetic mapping of the Atlantic horseshoe crab genome reveals ancient whole genome duplication. [PDF]
Gigascience, 2014 Nossa CW +6 more
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