Andrew Shallue

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All published works

Action	Title	Year	Authors
+	Advances in tabulating Carmichael numbers	2024	Andrew Shallue Jonathan Webster
+ PDF Chat	Advances in Tabulating Carmichael Numbers	2024	Andrew Shallue Jonathan Webster
+	Tabulating Carmichael numbers $$n = Pqr$$ with small P	2022	Andrew Shallue Jonathan Webster
+ PDF Chat	Average liar count for degree-$2$ Frobenius pseudoprimes	2019	Andrew Fiori Andrew Shallue
+ PDF Chat	Fast tabulation of challenge pseudoprimes	2019	Andrew Shallue Jonathan Webster
+ PDF Chat	Tabulating Pseudoprimes and Tabulating Liars	2016	Andrew Shallue
+ PDF Chat	Counting composites with two strong liars	2015	Eric Bach Andrew Shallue
+	Counting composites with two strong liars	2013	Eric Bach Andrew Shallue
+ PDF Chat	Constructing Carmichael numbers through improved subset-product algorithms	2013	W. R. Alford Jon Grantham Steven Hayman Andrew Shallue
+	Lifting Automorphisms of Quotients by Central Subgroups	2013	Ben Kane Andrew Shallue
+	Counting composites with two strong liars	2013	Eric Bach Andrew Shallue
+	Information Literacy in the Discipline, Mellon Grant for Math 405 partnership with A. Shallue	2013	Crystal Boyce Andrew Shallue
+	Division algorithms for the fixed weight subset sum problem	2012	Andrew Shallue
+	Constructing Carmichael numbers through improved subset-product algorithms	2012	W. R. Alford Jon Grantham Steven Hayman Andrew Shallue
+	Two Number-Theoretic Problems That Illustrate the Power and Limitations of Randomness	2007	Andrew Shallue
+ PDF Chat	Construction of Rational Points on Elliptic Curves over Finite Fields	2006	Andrew Shallue Christiaan E. van de Woestijne

Common Coauthors

Coauthor	Papers Together
Jonathan Webster	4
Eric Bach	3
Jon Grantham	2
W. R. Alford	2
Steven Hayman	2
Andrew Fiori	1
Crystal Boyce	1
Christiaan E. van de Woestijne	1
Ben Kane	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Two contradictory conjectures concerning Carmichael numbers	2001	Andrew Granville Carl Pomerance	5
+	There are Infinitely Many Carmichael Numbers	1994	W. R. Alford Andrew Granville Carl Pomerance	4
+	On the Number of False Witnesses for a Composite Number	1986	Paul Erdös Carl Pomerance	4
+	A Generalized Birthday Problem (Extended Abstract)	2002	David Wagner	4
+	An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford)	1946	T. A. A. B.	3
+	Prime Numbers: A Computational Perspective	2012	Richard E. Crandall Carl Pomerance	3
+	On the Distribution of Additive Number-Theoretic Functions	1955	H. Halberstam	3
+	Applications of sieve methods to the theory of numbers	1976	C. Hooley	2
+ PDF Chat	On the distribution of pseudoprimes	1981	Carl Pomerance	2
+ PDF Chat	A new algorithm for constructing large Carmichael numbers	1996	Günter Löh Wolfgang Niebuhr	2
+ PDF Chat	Elliptic curves over finite fields and the computation of square roots mod 𝑝	1985	René Schoof	2
+ PDF Chat	The pseudoprimes to 25⋅10⁹	1980	Carl Pomerance J. L. Selfridge Samuel S. Wagstaff	2
+ PDF Chat	A heuristic asymptotic formula concerning the distribution of prime numbers	1962	Paul T. Bateman Roger A. Horn	2
+ PDF Chat	Strong pseudoprimes to twelve prime bases	2016	Jonathan Sorenson Jonathan Webster	2
+ PDF Chat	A Simple Proof of a Theorem of Landau	1954	E. M. Wright	2
+	Strong pseudoprimes to the first eight prime bases	2014	Yupeng Jiang Yingpu Deng	2
+	Building pseudoprimes with a large number of prime factors	1996	Denis Guillaume François Morain	2
+ PDF Chat	The Carmichael numbers up to 10¹⁵	1993	Richard G. E. Pinch	2
+	The Pseudoprimes up to 1013	2000	Richard G. E. Pinch	2
+ PDF Chat	An Introduction To The Theory Of Numbers	2008	G. H. Hardy E. M. Wright	2
+ PDF Chat	A Subexponential-Time Quantum Algorithm for the Dihedral Hidden Subgroup Problem	2005	Greg Kuperberg	2
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	2
+ PDF Chat	The large sieve	1973	Hugh L. Montgomery R. C. Vaughan	2
+ PDF Chat	Average case error estimates for the strong probable prime test	1993	Ivan Damgård Peter Landrock Carl Pomerance	2
+ PDF Chat	Higher-order Carmichael numbers	2000	Everett W. Howe	2
+ PDF Chat	Unsolved Problems in Number Theory	1994	Richard K. Guy	1
+	Probability and Random Processes	2004	Geoffrey Grimmett David Stirzaker	1
+ PDF Chat	Divisors in residue classes, constructively	2007	Don Coppersmith Nick Howgrave-Graham S. V. Nagaraj	1
+	Linear prime-number sieves: A family tree	1987	Paul Pritchard	1
+	On the number of positive integers ≦ x and free of prime factors > y	1986	Adolf Hildebrand	1
+	Multiplicative Number Theory	1980	H. Davenport	1
+ PDF Chat	Elliptic curves and primality proving	1993	A. O. L. Atkin François Morain	1
+	Sieves in Number Theory	2001	G. N. Greaves	1
+	Order computations in generic groups	2007	Andrew V. Sutherland	1
+	Basic Algebraic Geometry 2	1994	Igor R. Shafarevich	1
+	Algebra II	2003	Nicolás Bourbaki	1
+	A Course in Computational Algebraic Number Theory	1993	Henri Cohen	1
+ PDF Chat	Construction of Rational Points on Elliptic Curves over Finite Fields	2006	Andrew Shallue Christiaan E. van de Woestijne	1
+	On Character Sums and Primitive Roots<sup>†</sup>	1962	D. A. Burgess	1
+ PDF Chat	On the least primitive root of a prime	1957	Paul Erdös Harold N. Shapiro	1
+	Polynomial values free of large prime factors	2002	Cécile Dartyge Gérald Tenenbaum Greg Martin	1
+	Handbuch der Lehre von der Verteilung der Primzahlen	1911	Edmund Landau	1
+	On the Automorphisms of Free Groups and Free Nilpotent Groups	1965	S. Andreadakis	1
+ PDF Chat	On the normal number of prime factors of $\phi(n)$	1985	Paul Erdös Carl Pomerance	1
+ PDF Chat	Shifted primes without large prime factors	1998	Roger C. Baker G. Harman	1
+ PDF Chat	Automorphisms of free metabelian groups	1965	S. Bachmuth	1
+	Explaining the wheel sieve	1982	Paul Pritchard	1
+ PDF Chat	A search for Wieferich and Wilson primes	1997	Richard E. Crandall Karl Dilcher Carl Pomerance	1
+ PDF Chat	Two kinds of strong pseudoprimes up to $10^{36}$	2007	Zhenxiang Zhang	1
+	Hile-yeh estimates of eigenvalues of polyharmonic operators	1993	Zu-Chi Chen Qian Chun-lin	1