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10 (0,065s) •

Result

Frobenius, Lucas, and Dickson pseudoprimes

We prove results about various types of pseudoprimes with respect to Lucas sequences. In particular, we investigate Frobenius pseudoprimes that satisfy properties of several different types of pseudoprimes. We also find Fro...

Pure mathematics

  • 2022
    • •
  • Jimp
    • •
  • Link
Result

Pseudoprimes.

The paper surveys the basic properties of pseudoprimes.

BA - Obecná matematika

  • 2003
    • •
  • Jx
Result

Generalization of a theorem of Bruckman on Dickson pseudoprimes

We use a complex seed for the Somos-5 sequence to get Gaussian integers with real and imaginary parts related by the Fibonacci sequence. For example, if {sn} is Somos-5 with seed (1,1, i,1,1), then {s2n}n≥1 is the sequence 1, 1, 1+i, 2−i, 2+3i, 5−3i,...

Pure mathematics

  • 2022
    • •
  • Jimp
    • •
  • Link
Result

On Lehmer superpseudoprimes

A Lehmer superpseudoprime is a Lehmer pseudoprime, all of whose divisors greater than 1 are either pseudoprimes with the same parameters or primes. Lehmer superpseudoprimes with exactly two distinct prime divisors are not very inter...

BA - Obecná matematika

  • 2015
    • •
  • Jx
Result

Arithmetic properties of coefficients of L-functions of elliptic curves

and Shparlinski on the counting function of elliptic pseudoprimes.

Pure mathematics

  • 2018
    • •
  • Jimp
    • •
  • Link
Result

From Great Discoveries in Number Theory to Applications

theory and graph theory, pseudoprimes, Fibonacci and Lucas numbers...

Pure mathematics

  • 2021
    • •
  • B
    • •
  • Link
Result

Fooling primality tests on smartcards

We analyse whether the smartcards of the JavaCard platform correctly validate primality of domain parameters. The work is inspired by Albrecht et al. (Prime and Prejudice) [1], where the authors analysed many open-source libraries and constructed

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2020
    • •
  • D
    • •
  • Link
Result

A Note on Density and the Dirichlet Condition

Motivated by topological approaches to Euclid and Dirichlet's theorems on infinitude of primes, we introduce and study S-coprime topologies on a commutative ring R with an identity and without zero divisors. For infinite semiprimitive commutative dom...

BA - Obecná matematika

  • 2012
    • •
  • Jx
    • •
  • Link
Result

Topological Aspects of Infinitude of Primes in Arithmetic Progressions

We investigate properties of coset topologies on commutative domains with an identity, in particular, the S-coprime topologies defined by Marko and Porubský (2012) and akin to the topology defined by Furstenberg (1955) in his proof of the infinitude ...

BA - Obecná matematika

  • 2015
    • •
  • Jx
    • •
  • Link
Result

Semigroup Structure of Sets of Solutions to Equation X^m = X^s

with the message space of RSA cryptosystems and Fermat pseudoprimes.

Pure mathematics

  • 2018
    • •
  • Jost
    • •
  • Link
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