Results 61 to 70 of about 132 (122)
Sieve for Mersenne prime numbers
, 2019 The algorithm generates many odd numbers, but only prime numbers of mersenne and not common prime numbers.
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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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Artin reciprocity and Mersenne primes
, 2000 From its conception in the work of Kronecker and Hilbert until Takagi's great paper of 1920, class field theory was developed in order to prove reciprocity laws. When Artin succeeded in proving his reciprocity law in 1927, however, its role changed dramatically, and soon afterwards it became a cornerstone of class field theory.
Lenstra, H.W., Stevenhagen, P.
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An Algebraic Approach to Symmetric Linear Layers in Cryptographic Primitives
, 2022 Subroto RC.
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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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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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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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