Results 241 to 250 of about 12,813,623 (299)

Prime-Perfect Numbers

Integers, 2012
Abstract.We discuss a relative of the perfect numbers for which it is possible to prove that there are infinitely many examples. Call a natural numberasWe conclude by discussing some related problems posed by Harborth and Cohen.
Pollack, Paul, Pomerance, Carl
openaire   +1 more source

A public key cryptosystem using Affine Hill Cipher under modulation of prime number

Journal of Information and Optimization Sciences, 2019
M.K. Viswanath in [1] proposed the concepts a public key cryptosystem using Hill’s Cipher. This paper develops a public key cryptosystem using Affine Hill Cipher.
P. Sundarayya, N. Raju, M. Prasad
semanticscholar   +1 more source

Counting Homomorphisms Modulo a Prime Number

International Symposium on Mathematical Foundations of Computer Science, 2019
Counting problems in general and counting graph homomorphisms in particular have numerous applications in combinatorics, computer science, statistical physics, and elsewhere.
A. Kazeminia, A. Bulatov
semanticscholar   +1 more source

Prime Numbers

1999
Es handelt sich um einen Vortrag, den der Autor im Mai 1991 vor Studenten der ETH Zürich hielt. Ohne zahlentheoretische Kenntnisse vorauszusetzen, werden zentrale Fragestellungen der Primzahltheorie vorgestellt. Den Primzahlsatz, sowie die Vermutung über die Anzahl der Primzahlzwillinge bzw.
  +5 more sources

Oscillations of the error term in the prime number theorem

Acta Mathematica Hungarica, 2018
Let $${\sigma + i{\gamma}}$$σ+iγ be a zero of the Riemann zeta function to the right of the line $${\frac{1}{2} + it}$$12+it. We show that this zero causes large oscillations of the error term of the prime number theorem.
J. Schlage-Puchta
semanticscholar   +1 more source

Extreme biases in prime number races with many contestants

Mathematische Annalen, 2017
We continue to investigate the race between prime numbers in many residue classes modulo q, assuming the standard conjectures GRH and LI. We show that provided $$n/\log q \rightarrow \infty $$n/logq→∞ as $$q \rightarrow \infty $$q→∞, we can find n ...
Kevin Ford, Adam J. Harper, Youness Lamzouri   +2 more
semanticscholar   +1 more source

Prime Number Records

The College Mathematics Journal, 1994
Elementary exposition of the author's well-known survey [see mainly his monograph ``The book of prime numbers'' (Springer 1988; Zbl 0642.10001)] which has been published in slightly different versions in several languages, too.
openaire   +3 more sources

Distribution of the prime numbers

Bulletin of Applied Mathematics and Mathematics Education
This research explores the distribution of prime numbers, which are a fundamental topic in number theory. The study originated from the author's fascination with mathematics and the desire to discover something novel.
Lolav Ahmed Khalil
semanticscholar   +1 more source

Algebraic Number Theory and Fermat's Last Theorem

Algebraic Methods Algebraic Background Rings and Fields Factorization of Polynomials Field Extensions Symmetric Polynomials Modules Free Abelian Groups Algebraic Numbers Algebraic Numbers Conjugates and Discriminants Algebraic Integers Integral Bases ...
I. Stewart, D. Tall
semanticscholar   +1 more source

Prime Numbers

2018
We denote by π(x) the number of prime numbers smaller than or equal to x, and decide that p will always denote a prime number.
openaire   +1 more source