Results 91 to 100 of about 384 (160)
Una clasificación completa de los números primos de Mersenne y sus implicaciones para la computación [PDF]
, 2020 A study of Mersenne’s primes is carried out using the multiplicative group modulo 360 and a complete classification is obtained by its residual classes. This allows the search for Mersenne’s primes to be classified into four subgroups mutually exclusive (
Acevedo-Agudelo, Yeisson Alexis
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Perfect and Mersenne Numbers [PDF]
, 2019 U ovom radu proučavamo Mersenneove i savršene brojeve. Kažemo da je prirodan broj N savršen ako je σ(N) = 2N, gdje je σ(N) suma pravih djelitelja broja N.
Patković, Kristina
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LETTER Special Section on Cryptography and Information Security Simple Power Analysis on Fast Modular Reduction with [PDF]
, 2006 SUMMARY We discuss side channel leakage from modular reduction for NIST recommended domain parameters. FIPS 186-2 has 5 recommended prime fields. These primes have a special form which is referred to as generalized Mersenne prime.
Generalized Mersenne +2 more
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Generalized Mersenne Numbers [PDF]
, 1999 . There is a well known shortcut for modular multiplication modulo a Mersenne number, performing modular reduction without integer division. We generalize this technique to a larger class of primes, and discuss parameter choices which are particularly ...
Jerome A. Solinas
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Mersenne primes and the proof of the Lucas-Lehmer test [PDF]
V magistrskem delu so obravnavana Mersennova praštevila in Lucas-Lehmerjev test. Mersennova praštevila, ki so oblike 2^p-1, kjer je p praštevilo, so tudi največja znana praštevila. Njihovo praštevilskost preverjamo z Lucas-Lehmerjevim testom, ki je podan
Zupančič, Andrej
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Probable prime tests for generalized mersenne numbers [PDF]
, 2008 The classical Lucas-Lehmer test gives necessary and sufficient conditions for the primality of 2 p -1, p an odd prime. Such primes are called Mersenne primes.
Melham, RS
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, 1987 These notes have been issued on a small scale in 1983 and 1987 and on request at other times. This issue follows two items of news. First, WaIter Colquitt and Luther Welsh found the 'missed' Mersenne prime M110503 and advanced the frontier of complete Mp-
Haworth, Guy McCrossan
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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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