John Selfridge | Academic Influence

John Selfridge's AcademicInfluence.com Rankings

John Selfridge

Mathematics

#1235

World Rank

#2070

Historical Rank

#517

USA Rank

Measure Theory

#3991

World Rank

#4702

Historical Rank

#1136

USA Rank

mathematics Degrees

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Mathematics

John Selfridge's Degrees

PhD Mathematics University of Chicago
Bachelors Mathematics University of Chicago

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Why Is John Selfridge Influential?

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According to Wikipedia, John Lewis Selfridge , was an American mathematician who contributed to the fields of analytic number theory, computational number theory, and combinatorics. Education Selfridge received his Ph.D. in 1958 from the University of California, Los Angeles under the supervision of Theodore Motzkin.

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John Selfridge's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

On a Combinatorial Game (1973) (300)
The product of consecutive integers is never a power (1975) (187)
Factorizations of b[n]±1, b=2, 3, 5, 6, 7, 10, 11, 12 up to high powers (1985) (147)
New primality criteria and factorizations of 2^{}±1 (1975) (138)
The pseudoprimes to 25⋅10⁹ (1980) (121)
A survey of equal sums of like powers (1967) (67)
Not every number is the sum or difference of two prime powers (1975) (50)
On the determination of numbers by their sums of a fixed order (1958) (31)
A design for a number theory package with an optimized trial division routine (1974) (30)
What drives an aliquot sequence (1975) (28)
Some factorizations of 2ⁿ±1 and related results (1967) (28)
Machine proof of a theorem on cubic residues (1962) (24)
The new mersenne conjecture (1989) (21)
Proof of D. J. Newman's coprime mapping conjecture (1980) (19)
Fermat numbers and Mersenne numbers (1964) (19)
3-SMOOTH REPRESENTATIONS OF INTEGERS (1998) (18)
PROOF OF FERMAT'S LAST THEOREM FOR ALL PRIME EXPONENTS LESS THAN 4002. (1955) (17)
On the prime factorization of binomial coefficients (1978) (13)
Tables Concerning the Distribution of Primes up to 37 Millions (1959) (13)
Corrigendum: “Some factorizations of 2ⁿ±1 and related results” (1967) (12)
Primes at a glance (1987) (11)
Some problems on the prime factors of consecutive integers (1967) (11)
Consecutive integers with no large prime factors (1976) (11)
Euclidean quadratic fields (1992) (10)
A new function associated with the prime factors of (ⁿ_ (1974) (10)
On Finite Semigroups (1960) (7)
A counter-example (1982) (6)
Estimates of the least prime factor of a binomial coefficient (1993) (5)
A Table of Indices and Power Residues for all Primes and Prime Powers Below 2000 (1963) (5)
A semigroup embedding problem and an arithmetical function (1991) (5)
Elementary Problems: E2974,E3007-E3012 (1983) (3)
FACTORING FACTORIAL N (1998) (3)
The Nesting and Roosting Habits of the Laddered Parenthesis (1973) (3)
Subsets of an interval whose product is a power (1999) (3)
A New Function Associated with the Prime Factors of \binomnk (1974) (3)
Problems Dedicated to Emory P. Starke: S9-S10 (1979) (2)
Prime factors of binomial coefficients and related problems (1988) (2)
The Editor's Corner: The New Mersenne Conjecture (1989) (2)
ON DIOPHANTINE EQUATIONS WHICH HAVE NO SOLUTIONS. (1956) (2)
Product of Integers in an Interval, Modulo Squares (2001) (2)
Corrigendum to: “What drives an aliquot sequence?” [Math. Comp. 29 (1975), 101–107; MR 52 #5542] (1980) (2)
Corrigendum to "What Drives an Aliquot Sequence?" (1980) (1)
Large highly powerful numbers are cubeful (1984) (1)
Problems for Solution: E1121-E1125 (1954) (1)
Pairs of Squares with Consecutive Digits (1986) (1)
I. Introduction to the Short Tables (1988) (0)
#A7 INTEGERS 12A (2012): John Selfridge Memorial Issue EULER PSEUDOPRIMES FOR HALF OF THE BASES (2012) (0)
Maximal Paths on Rectangular Boards (1960) (0)
II. Convenient Short Tables (1988) (0)
The Powers That Be (1976) (0)
VII. Introduction to the Appendices (1988) (0)
Advanced Problems: 6339-6343 (1981) (0)
Elementary Problems: E3243-E3248 (1988) (0)
New Primality Criteria and Factorizations of 2 TM d = 1 By (2010) (0)
V. How to Use the Main Tables (1988) (0)
Problems for Solution: E1406-E1410 (1960) (0)
The 392 Problem (2012) (0)
Sets With Non-Squarefree Sums (1990) (0)
Advanced Problems: 5397,5410- 5419 (1966) (0)
III. Introduction to the Main Tables (1988) (0)
Indices and Power Residues for all Odd Primes and Powers less than 2000. (1961) (0)
CONSECUTIVE INTEGERS WITH NO LARGE PRIME FACTORS Dedicated to George Szekeres on his 65th Birthday (2008) (0)
CONSECUTIVE INTEGERS WITH NO LARGE PRIME FACTORS Dedicated to George Szekeres on his 65th Birthday (2008) (0)
VI. The Main Tables (1988) (0)
IV. Update to the Introduction for the Second Edition (1988) (0)
Update 2.2 to the Second Edition (1988) (0)

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