Results 1 to 10 of about 11,447,091 (251)
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.
Paul Erdős, Carl Pomerance
semanticscholar +4 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
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On the number of terms of a composite polynomial [PDF]
Acta Arithmetica, 2007 n ...
Umberto Zannier
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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
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The Compositeness of the Thirteenth Fermat Number [PDF]
Mathematics of Computation, 1961 G. A. Paxson
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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
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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
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Crystals, 2023 The initial thickness ratio and number of layers of dissimilar metal components greatly influence the impact performance of laminated metal composites. In this paper, positive and lateral impact tests of 5-layer composite sheets with thickness ratios of ...
Zejun Chen +4 more
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Assessment of Cytotoxic and Genotoxic Effect of Modern Dental Materials in vivo
Acta Stomatologica Croatica, 2023 Objectives: The aim of the study was to assess the biocompatibility of modern composite and amalgam dental fillings. Material and Methods: The research was conducted on 150 healthy patients between the ages of 10 and 20 who had amalgam and composite ...
Milena Trutina Gavran +8 more
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