Results 1 to 10 of about 11,490,915 (351)
On the number of false witnesses for a composite number [PDF]
Mathematics of Computation, 1986 Ifais not a multiple ofnandan−1≢1modn{a^{n - 1}}\;\nequiv \;1\bmod \,n, thennmust be composite andais called a "witness" forn. LetF(n)F(n)denote the number of "false witnesses" forn, that is, the number ofamodna\bmod nwithan−1≡1modn{a^{n - 1}} \equiv 1\bmod n. Considered here is the normal and average size ofF(n)F(n)forncomposite.
P. Erdös, C. Pomerance
semanticscholar +4 more sources
Bad witnesses for a composite number [PDF]
Acta Arithmetica, 2023 We describe the average sizes of the set of bad witnesses for a pseudo-primality test which is the product of a multiple-rounds Miller-Rabin test by the Galois test.
Johnathan Djella Legnongo +2 more
semanticscholar +3 more sources
The Twentieth Fermat Number is Composite [PDF]
Mathematics of Computation, 1988 The twentieth Fermat number, F 20 = 2 2 20 + 1 {F_{20}
Jeff Young, Duncan A. Buell
openalex +3 more sources
Relation between Prime and Composite Number
Bibechana, 2018 This article was not peer-reviewed. No abstract available.
Raju Ram Thapa
doaj +4 more sources
On the number of terms of a composite polynomial [PDF]
Acta Arithmetica, 2007 n ...
Umberto Zannier
openalex +4 more sources
The Twenty-Second Fermat Number is Composite [PDF]
Mathematics of Computation, 1995 We have shown by machine proof that F 22 = 2 2 22 + 1 {F_{22}} = {2^2}^
Richard E. Crandall +3 more
openalex +2 more sources
The Compositeness of the Thirteenth Fermat Number [PDF]
Mathematics of Computation, 1961 G. A. Paxson
openalex +3 more sources
The Composite Number Needed to Treat for Semaglutide in Populations with Overweight or Obesity and Established Cardiovascular Disease Without Diabetes. [PDF]
Adv TherLübker C +8 more
europepmc +2 more sources
Several generalizations on Wolstenholme Theorem [PDF]
MATEC Web of Conferences, 2022 This paper generalizes Wolstenholme theorem on two aspects. The first generalization is a parameterized form: let p > k + 2, k ≥ 1, ∀t ∈ ℤ, then ${{(pt + p - 1)!} \over {(pt)!}}\mathop \sum \limits_{m = 0}^{k - 1} {( - 1)^m}\mathop \sum \limits_{1 \le {
Zhu Yuyang +3 more
doaj +1 more source
Remote Sensing, 2023 This work presents a methodology for the hydrological characterization of natural and urban landscapes, focusing on accurate estimations of infiltration capacity and runoff characteristics.
Chloe Campo +2 more
doaj +1 more source