Results 81 to 90 of about 385 (161)
Divisibility by 3 of even multiperfect numbers of abundancy 3 and 4
We say a number is flat if it can be written as a non-trivial power of 2 times an odd squarefree number. The power is the “exponent” and the number of odd primes the “length”. Let N be flat and 4-perfect with exponent a and length m.
Broughan, Kevin A., Zhou, Qizhi
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On prime factors of Mersenne numbers
to appear in Palestine Journal of ...
Cambraia, Ady jun. +4 more
openaire +3 more sources
On inversion modulo pseudo-Mersenne primes [PDF]
It is well established that the method of choice for implementing a side-channel secure modular inversion, is to use Fermat\u27s little theorem. So $1/x = x^{p-2} \bmod p$. This can be calculated using any multiply-and-square method safe in the knowledge
Michael Scott
core
High-Speed and Unified ECC Processor for Generic Weierstrass Curves over GF(p) on FPGA. [PDF]
Awaludin AM, Larasati HT, Kim H.
europepmc +1 more source
Post-Quantum Security: Opportunities and Challenges. [PDF]
Li S +7 more
europepmc +1 more source
Perfect and Mersenne Numbers [PDF]
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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Java Grid Computing or how to find large primes
This Bachelor work contains methods of searching for Mersenne primes using Grid Computing technology. The goal of this work is to implement a network-based computing framework and an implementation of an algorithm for searching for large Mersenne ...
PAPEŽ, Petr
core
This paper tackles a longstanding problem in number theory: the existence of odd perfect numbers. A perfect number is defined as a positive integer whose sum of all its proper divisors (excluding itself) is equal to twice the number itself. While Euclid demonstrated a method to construct even perfect numbers using Mersenne primes (primes of the form $2^
openaire +1 more source
Teste de Lucas-Lehmer para primos de Mersenne
The present work aims at a small summary of Mersenne's prime numbers and, consequently, prime numbers, a subject that has shown to have a certain relevance because of the increase in users of applications that use RSA encryption to protect their data ...
SANTOS, Elbi Jesus dos
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