Results 1 to 10 of about 12,654,125 (372)
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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Distribution of squares modulo a composite number [PDF]
International Mathematics Research Notices, 2015 In this paper we study the distribution of squares modulo a square-free number $q$. We also look at inverse questions for the large sieve in the distribution aspect and we make improvements on existing results on the distribution of $s$-tuples of reduced
Aryan, Farzad
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Maximum occupation number for composite boson states [PDF]
, 2002 One of the major differences between fermions and bosons is that fermionic states have a maximum occupation number of one, whereas the occupation number for bosonic states is in principle unlimited.
D. VAN NECK +6 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 TherChristopher Lübker +8 more
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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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