Results 31 to 40 of about 2,661 (306)
A note on solitary numbers [PDF]
Notes on Number Theory and Discrete MathematicsDoes 14 have a friend? Until now, this has been an open question. In this note, we prove that a potential friend F of 14 is an odd, non-square positive integer.
Sagar Mandal
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Factorization of big integer and the security of RSA
网络与信息安全学报, 2017 Three kinds of methods for integer factorization were proposed and the security of RSA was demarcated.RSA is a well-known cryptographic algorithm,using the analysis result of those methods.Through the work,readers could easily realize that if merely ...
Yan-bing REN
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Cryptography, 2023 This article proposes a new method to inject backdoors in RSA (the public-key cryptosystem invented by Rivest, Shamir, and Adleman) and other cryptographic primitives based on the integer factorization problem for balanced semi-primes.
Marco Cesati
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Mersenne version of Brocard-Ramanujan equation
Journal of New Results in Science, 2023 In this study, we deal with a special form of the Brocard-Ramanujan equation, which is one of the interesting and still open problems of Diophantine analysis.
Ayşe Nalli, Seyran İbrahimov
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Conjugacy Systems Based on Nonabelian Factorization Problems and Their Applications in Cryptography
Journal of Applied Mathematics, 2014 To resist known quantum algorithm attacks, several nonabelian algebraic structures mounted upon the stage of modern cryptography. Recently, Baba et al. proposed an important analogy from the integer factorization problem to the factorization problem over
Lize Gu, Shihui Zheng
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A factorization formula for power series [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Given an odd prime p, we give an explicit factorization over the ring of formal power series with integer coefficients for certain reducible polynomials whose constant term is of the form $p^w$ with $w>1$.
Daniel Birmajer +2 more
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Linear Algebra and its Applications, 1991 The authors give conditions under which a rectangular integer matrix has an integer LU-factorization. They use a modified Gaussian elimination to find the LU-factorization and they consider such factorizations for adjacency matrices of trees.
Bevis, Jean H., Hall, Frank J.
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Cybernetics and Information Technologies, 2020 RSA is one among the most popular public key cryptographic algorithm for security systems. It is explored in the results that RSA is prone to factorization problem, since it is sharing common modulus and public key exponent.
Raghunandan K. R. +3 more
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DAIMI Report Series, 1983 <p>This report gives a summary of methods for factoring large integers and presents particular factorizations obtained by these methods using the computer facilities at DAIMI.</p><p>We have used trial division, the continued fraction method, Pollard's methods, and various tests for primality to obtain new factorizations of Fibonacci ...
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background We describe clinical and biologic characteristics of neuroblastoma in older children, adolescents, and young adults (OCAYA); describe survival outcomes in the post‐immunotherapy era; and identify if there is an age cut‐off that best discriminates outcomes.
Rebecca J. Deyell +14 more
wiley +1 more source