Results 61 to 70 of about 1,699,076 (196)
Efficient Generation of Prime Numbers [PDF]
, 2000 The generation of prime numbers underlies the use of most public-key schemes, essentially as a major primitive needed for the creation of key pairs or as a computation stage appearing during various cryptographic setups. Surprisingly, despite decades of intense mathematical studies on primality testing and an observed progressive intensification of ...
Joye, Marc +2 more
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Some Observations on the Greatest Prime Factor of an Integer
Annales Mathematicae Silesianae, 2023 We examine the multiplicity of the greatest prime factor in k-full numbers and k-free numbers. We generalize a well-known result on greatest prime factors and obtain formulas related with the Riemann zeta function.
Jakimczuk Rafael
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A Scale Invariant Distribution of the Prime Numbers
Computation, 2015 The irregular distribution of prime numbers amongst the integers has found multiple uses, from engineering applications of cryptography to quantum theory.
Wayne S. Kendal, Bent Jørgensen
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QUANTUM HAMILTONIANS AND PRIME NUMBERS [PDF]
Modern Physics Letters A, 2003 A short review of Schrödinger Hamiltonians for which the spectral problem has been related in the literature to the distribution of the prime numbers is presented here. We notice a possible connection between prime numbers and centrifugal inversions in black holes and suggest that this remarkable link could be directly studied within trapped Bose ...
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TWO HUNDRED CONJECTURES AND ONE HUNDRED AND FIFTY OPEN PROBLEMS ON FERMAT PSEUDOPRIMES (COLLECTED PAPERS) [PDF]
, 2013 30 articles posted on VIXRA about Poulet numbers (Fermat pseudoprimes to base 2), Carmichael numbers (absolute Fermat pseudoprimes), Fermat pseudoprimes to base 3 and other relative Fermat pseudoprimes, also 30 sequences of such numbers posted on OEIS ...
Coman, Marius
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On some characteristics of subset of prime numbers
Дифференциальная геометрия многообразий фигур, 2019 The set of prime numbers p ≥ 5 is divided into two nonoverlapping subset P1 = {6k1 - 1}, P2 = {6k2 + 1}, where ki ⋲ A (i = 1,2). Subsets A1, A2 of natural numbers is defined by differences Ai = N\Bi, where B1, B2 are subset {j1}, {j2} defining subsets ...
V. Malakhovsky
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The mechanism of prime numbers
, 2021 The distribution of prime numbers and related composite numbers derives from the intertwining of the respective modules of the infinite prime numbers; this intertwining is not casual but regulated by a very specific mechanism "the mechanism of prime ...
Dante Servi
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The first prime number with the special property that its addition with reversal gives as result a prime number too is two hundred twenty nine. The prime numbers with this property will be called Luhn prime numbers. In this article we intend to present a
Cira, Octavian, Smarandache, Florentin
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Formula for primes, twinprimes, number of primes and number of twinprimes [PDF]
Proceedings Mathematical Sciences, 1983 Assuming that the first n primes are known the author gives a formula for calculating \(p_{n+1}\), the \((n+1)st\) prime. Formulas are also given for the smallest twin prime (if any) in the interval \((p_ n,p^ 2_ n)\) and for both the number of primes and twin primes not exceeding x if x is between \(p_ n\) and \(p^ 2_ n\).
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, 2008 There have been many conjectures made about prime numbers. We will look at a few of the major conjectures, examine why they were thought to be true, and prove why they are ...
Seitz, Amanda, Jensen, Ph.D., Jacqueline
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