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Selfridge, John L.

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Author ID: selfridge.john-l Recent zbMATH articles by "Selfridge, John L."
Published as: Selfridge, J. L.; Selfridge, John; Selfridge, John L.
External Links: MGP · Wikidata · GND
Documents Indexed: 58 Publications since 1955, including 2 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH

40 Publications have been cited 414 times in 380 Documents Cited by Year
On a combinatorial game. Zbl 0293.05004
Erdős, Paul; Selfridge, J. L.
76
1973
The product of consecutive integers is never a power. Zbl 0295.10017
Erdős, Paul; Selfridge, J. L.
57
1975
The pseudoprimes to \(25\cdot 10^9\). Zbl 0444.10007
Pomerance, Carl; Selfridge, J. L.; Wagstaff, Samuel S. jun.
42
1980
New primality criteria and factorizations of \(2^m\pm 1\). Zbl 0311.10009
Brillhart, John; Lehmer, D. H.; Selfridge, J. L.
34
1975
Factorizations of \(b^ n\pm 1\), \(b=2,3,5,6,7,10,11,12\) up to high powers. 2nd ed. Zbl 0659.10001
Brillhart, John; Lehmer, D. H.; Selfridge, J. L.; Tuckerman, Bryant; Wagstaff, S. S. jun.
33
1988
Factorizations of \(b^n\pm 1\), \(b=2,3,5,6,7,10,11,12\) up to high powers. Zbl 0527.10001
Brillhart, John; Lehmer, D. H.; Selfridge, J. L.; Tuckerman, Bryant; Wagstaff, S. S. jun.
25
1983
Not every number is the sum or difference of two prime powers. Zbl 0296.10029
Cohen, Fred; Selfridge, J. L.
17
1975
A survey of equal sums of like powers. Zbl 0149.28803
Lander, L. J.; Parkin, T. R.; Selfridge, J. L.
17
1967
Machine proof of a theorem on cubic residues. Zbl 0105.26501
Lehmer, D. H.; Lehmer, Emma; Mills, W. H.; Selfridge, J. L.
11
1962
On the determination of numbers by their sums of a fixed order. Zbl 0084.02201
Selfridge, J. L.; Straus, E. G.
11
1958
A design for a number theory package with an optimized trial division routine. Zbl 0276.68025
Wunderlich, M. C.; Selfridge, J. L.
10
1974
Some factorizations of \(2^n\pm 1\) and related results. Zbl 0146.04903
Brillhart, John; Selfridge, J. L.
9
1967
Some problems on the prime factors of consecutive integers. II. Zbl 0228.10028
Erdős, Paul; Selfridge, J. L.
7
1971
Proof of Fermat’s last theorem for all prime exponents less than 4002. Zbl 0065.27304
Selfridge, J. L.; Nicol, C. A.; Vandiver, H. S.
7
1955
Fermat numbers and Mersenne numbers. Zbl 0121.28306
Selfridge, J. L.; Hurwitz, Alexander
6
1964
Proof of D. J. Newman’s coprime mapping conjecture. Zbl 0442.10003
Pomerance, Carl; Selfridge, J. L.
5
1980
What drives an aliquot sequence? Zbl 0296.10007
Guy, Richard K.; Selfridge, J. L.
5
1975
Primes at a glance. Zbl 0608.10011
Guy, R. K.; Lacampagne, C. B.; Selfridge, J. L.
4
1987
Consecutive integers with no large prime factors. Zbl 0343.10024
Eggleton, R. B.; Selfridge, J. L.
4
1976
Estimates of the least prime factor of a binomial coefficient. Zbl 0781.11008
Erdős, Paul; Lacampagne, C. B.; Selfridge, J. L.
3
1993
Euclidean quadratic fields. Zbl 0770.11047
Eggleton, R. B.; Lacampagne, C. B.; Selfridge, J. L.
3
1992
On the prime factorization of binomial coefficients. Zbl 0393.10005
Ecklund, E. F. jun.; Eggleton, R. B.; Erdős, Paul; Selfridge, J. L.
3
1978
Complete prime subsets of consecutive integers. Zbl 0267.10054
Erdős, Paul; Selfridge, J. L.
3
1971
Interim report on aliquot series. Zbl 0266.10006
Guy, Richard K.; Selfridge, J. L.
3
1971
Composites that remain composite after changing a digit. Zbl 1245.11018
Filaseta, Michael; Kozek, Mark; Nicol, Charles; Selfridge, John
2
2010
Third report on aliquot sequences. Zbl 0476.10003
Devitt, J. S.; Guy, Richard K.; Selfridge, J. L.
2
1977
A new function associated with the prime factors of \(\binom{n}{k}\). Zbl 0279.10034
Ecklund, E. F.; Erdős, Paul; Selfridge, J. L.
2
1974
3-smooth representations of integers. Zbl 0918.11005
Blecksmith, Richard; McCallum, Michael; Selfridge, J. L.
1
1998
A semigroup embedding problem and an arithmetical function. Zbl 0744.20047
Howie, John M.; Selfridge, J. L.
1
1991
The new Mersenne conjecture. Zbl 0694.10005
Bateman, P. T.; Selfridge, J. L.; Wagstaff, S. S. jun.
1
1989
Prime factors of binomial coefficients and related problems. Zbl 0669.10011
Erdős, Paul; Lacampagne, C. B.; Selfridge, J. L.
1
1988
Factoring large numbers on a pocket calculator. Zbl 0611.10002
Blair, W. D.; Lacampagne, C. B.; Selfridge, J. L.
1
1986
Corrigendum to ”What drives an aliquot sequence?”. Zbl 0423.10005
Guy, Richard K.; Selfridge, J. L.
1
1980
Computation of sequences maximizing least common multiples. Zbl 0332.10002
Eggleton, R. B.; Erdős, Paul; Selfridge, J. L.
1
1976
Optimal coverings of the square. Zbl 0311.05026
Guy, R. K.; Selfridge, J. L.
1
1975
Consecutive integers all of whose prime factors belong to a given set. Zbl 0329.10033
Ecklund, E. F. jun.; Eggleton, R. B.; Selfridge, J. L.
1
1974
Second report on aliquot sequences. Zbl 0325.10007
Guy, Richard K.; Lehmer, D. H.; Selfridge, J. L.; Wunderlich, M. C.
1
1974
The nesting and roosting habits of the laddered parenthesis. Zbl 0279.05011
Guy, R. K.; Selfridge, J. L.
1
1973
Factors of consecutive integers. Zbl 0267.10055
Ecklund, E. F. jun.; Eggleton, R. B.; Selfridge, J. L.
1
1971
Some problems on the prime factors of consecutive integers. Zbl 0149.28901
Erdős, Paul; Selfridge, John L.
1
1967
Composites that remain composite after changing a digit. Zbl 1245.11018
Filaseta, Michael; Kozek, Mark; Nicol, Charles; Selfridge, John
2
2010
3-smooth representations of integers. Zbl 0918.11005
Blecksmith, Richard; McCallum, Michael; Selfridge, J. L.
1
1998
Estimates of the least prime factor of a binomial coefficient. Zbl 0781.11008
Erdős, Paul; Lacampagne, C. B.; Selfridge, J. L.
3
1993
Euclidean quadratic fields. Zbl 0770.11047
Eggleton, R. B.; Lacampagne, C. B.; Selfridge, J. L.
3
1992
A semigroup embedding problem and an arithmetical function. Zbl 0744.20047
Howie, John M.; Selfridge, J. L.
1
1991
The new Mersenne conjecture. Zbl 0694.10005
Bateman, P. T.; Selfridge, J. L.; Wagstaff, S. S. jun.
1
1989
Factorizations of \(b^ n\pm 1\), \(b=2,3,5,6,7,10,11,12\) up to high powers. 2nd ed. Zbl 0659.10001
Brillhart, John; Lehmer, D. H.; Selfridge, J. L.; Tuckerman, Bryant; Wagstaff, S. S. jun.
33
1988
Prime factors of binomial coefficients and related problems. Zbl 0669.10011
Erdős, Paul; Lacampagne, C. B.; Selfridge, J. L.
1
1988
Primes at a glance. Zbl 0608.10011
Guy, R. K.; Lacampagne, C. B.; Selfridge, J. L.
4
1987
Factoring large numbers on a pocket calculator. Zbl 0611.10002
Blair, W. D.; Lacampagne, C. B.; Selfridge, J. L.
1
1986
Factorizations of \(b^n\pm 1\), \(b=2,3,5,6,7,10,11,12\) up to high powers. Zbl 0527.10001
Brillhart, John; Lehmer, D. H.; Selfridge, J. L.; Tuckerman, Bryant; Wagstaff, S. S. jun.
25
1983
The pseudoprimes to \(25\cdot 10^9\). Zbl 0444.10007
Pomerance, Carl; Selfridge, J. L.; Wagstaff, Samuel S. jun.
42
1980
Proof of D. J. Newman’s coprime mapping conjecture. Zbl 0442.10003
Pomerance, Carl; Selfridge, J. L.
5
1980
Corrigendum to ”What drives an aliquot sequence?”. Zbl 0423.10005
Guy, Richard K.; Selfridge, J. L.
1
1980
On the prime factorization of binomial coefficients. Zbl 0393.10005
Ecklund, E. F. jun.; Eggleton, R. B.; Erdős, Paul; Selfridge, J. L.
3
1978
Third report on aliquot sequences. Zbl 0476.10003
Devitt, J. S.; Guy, Richard K.; Selfridge, J. L.
2
1977
Consecutive integers with no large prime factors. Zbl 0343.10024
Eggleton, R. B.; Selfridge, J. L.
4
1976
Computation of sequences maximizing least common multiples. Zbl 0332.10002
Eggleton, R. B.; Erdős, Paul; Selfridge, J. L.
1
1976
The product of consecutive integers is never a power. Zbl 0295.10017
Erdős, Paul; Selfridge, J. L.
57
1975
New primality criteria and factorizations of \(2^m\pm 1\). Zbl 0311.10009
Brillhart, John; Lehmer, D. H.; Selfridge, J. L.
34
1975
Not every number is the sum or difference of two prime powers. Zbl 0296.10029
Cohen, Fred; Selfridge, J. L.
17
1975
What drives an aliquot sequence? Zbl 0296.10007
Guy, Richard K.; Selfridge, J. L.
5
1975
Optimal coverings of the square. Zbl 0311.05026
Guy, R. K.; Selfridge, J. L.
1
1975
A design for a number theory package with an optimized trial division routine. Zbl 0276.68025
Wunderlich, M. C.; Selfridge, J. L.
10
1974
A new function associated with the prime factors of \(\binom{n}{k}\). Zbl 0279.10034
Ecklund, E. F.; Erdős, Paul; Selfridge, J. L.
2
1974
Consecutive integers all of whose prime factors belong to a given set. Zbl 0329.10033
Ecklund, E. F. jun.; Eggleton, R. B.; Selfridge, J. L.
1
1974
Second report on aliquot sequences. Zbl 0325.10007
Guy, Richard K.; Lehmer, D. H.; Selfridge, J. L.; Wunderlich, M. C.
1
1974
On a combinatorial game. Zbl 0293.05004
Erdős, Paul; Selfridge, J. L.
76
1973
The nesting and roosting habits of the laddered parenthesis. Zbl 0279.05011
Guy, R. K.; Selfridge, J. L.
1
1973
Some problems on the prime factors of consecutive integers. II. Zbl 0228.10028
Erdős, Paul; Selfridge, J. L.
7
1971
Complete prime subsets of consecutive integers. Zbl 0267.10054
Erdős, Paul; Selfridge, J. L.
3
1971
Interim report on aliquot series. Zbl 0266.10006
Guy, Richard K.; Selfridge, J. L.
3
1971
Factors of consecutive integers. Zbl 0267.10055
Ecklund, E. F. jun.; Eggleton, R. B.; Selfridge, J. L.
1
1971
A survey of equal sums of like powers. Zbl 0149.28803
Lander, L. J.; Parkin, T. R.; Selfridge, J. L.
17
1967
Some factorizations of \(2^n\pm 1\) and related results. Zbl 0146.04903
Brillhart, John; Selfridge, J. L.
9
1967
Some problems on the prime factors of consecutive integers. Zbl 0149.28901
Erdős, Paul; Selfridge, John L.
1
1967
Fermat numbers and Mersenne numbers. Zbl 0121.28306
Selfridge, J. L.; Hurwitz, Alexander
6
1964
Machine proof of a theorem on cubic residues. Zbl 0105.26501
Lehmer, D. H.; Lehmer, Emma; Mills, W. H.; Selfridge, J. L.
11
1962
On the determination of numbers by their sums of a fixed order. Zbl 0084.02201
Selfridge, J. L.; Straus, E. G.
11
1958
Proof of Fermat’s last theorem for all prime exponents less than 4002. Zbl 0065.27304
Selfridge, J. L.; Nicol, C. A.; Vandiver, H. S.
7
1955
all top 5

Cited by 472 Authors

14 Krivelevich, Michael
10 Luca, Florian
10 Shorey, Tarlok Nath
9 Chen, Yonggao
9 Pomerance, Carl Bernard
9 Zhang, Zhenxiang
8 Hajdu, Lajos
8 Hefetz, Dan
8 Williams, Hugh Cowie
7 Brent, Richard Peirce
6 Beck, József
6 Dubner, Harvey
6 Laishram, Shanta
5 Erdős, Pál
5 Saradha, N.
4 Bennett, Michael A.
4 Grantham, Jon
4 Morain, François
4 Tengely, Szabolcs
4 Tijdeman, Robert
3 Berge, Claude Jacques Roger
3 Brillhart, John
3 Brudno, Simcha
3 Choudhry, Ajai
3 Clemens, Dennis
3 Crandall, Richard E.
3 Filaseta, Michael A.
3 Gledel, Valentin
3 Granville, Andrew James
3 Keller, Wilfrid
3 Lu, Xiaoyun
3 Pollack, Paul
3 Skałba, Mariusz
3 Stojaković, Miloš
3 Styer, Robert Alan
3 Sudakov, Benny
3 Sun, Xuegong
3 Szabó, Tibor
3 te Riele, Herman
3 Trotskaia Lehmer, Emma
3 Wagstaff, Samuel S. jun.
2 Arnault, François
2 Atkin, Arthur Oliver Lonsdale
2 Bach, Eric
2 Bannai, Eiichi
2 Bérczes, Attila
2 Berrizbeitia, Pedro
2 Bremner, Andrew
2 Cilleruelo, Javier
2 Cohen, Graeme L.
2 Corry, Leo
2 Csernenszky, András
2 Das, Pranabesh
2 De Koninck, Jean-Marie
2 Deng, Yingpu
2 Dilcher, Karl
2 Eggleton, Roger B.
2 Ekl, Randy L.
2 Ferber, Asaf
2 Forbes, Tony
2 Friedlander, John Benjamin
2 Gao, Shuhong
2 Gebauer, Heidi
2 Guy, Richard Kenneth
2 Hildebrand, Adolf J.
2 Hoggar, Stuart G.
2 Iršič, Vesna
2 Johannsen, Daniel
2 Johnson, Wells
2 Jordan, James H.
2 Klavžar, Sandi
2 Kondratyonok, Nikita
2 Lehmer, Derrick Henry
2 Lenstra, Arjen K.
2 Liebenau, Anita
2 Manasse, Mark S.
2 Mikalački, Mirjana
2 Mullen, Gary L.
2 Nagaraj, Santosh V.
2 Nikoletseas, Sotiris E.
2 Pan, Hao
2 Panario, Daniel
2 Paul, Jerome L.
2 Pegden, Wesley
2 Pintér, Ákos
2 Pleasants, Peter A. B.
2 Pluhár, András
2 Pollard, John M.
2 Ramaré, Olivier
2 Raptopoulos, Christoforos L.
2 Reynya, M. A.
2 Richards, Ian
2 Rotkiewicz, Andrzej
2 Samotij, Wojciech
2 Saouter, Yannick
2 Scott, Reese
2 Selfridge, John L.
2 Sieben, Nándor
2 Silverman, Robert D.
2 Somer, Lawrence E.
...and 372 more Authors
all top 5

Cited in 99 Serials

97 Mathematics of Computation
42 Journal of Number Theory
22 Discrete Mathematics
10 Monatshefte für Mathematik
9 Theoretical Computer Science
7 Computers & Mathematics with Applications
7 Journal of Combinatorial Theory. Series A
6 Acta Arithmetica
6 Indagationes Mathematicae. New Series
6 Combinatorics, Probability and Computing
6 International Journal of Number Theory
5 Discrete Applied Mathematics
5 Rocky Mountain Journal of Mathematics
4 Compositio Mathematica
4 Journal of Combinatorial Theory. Series B
4 Mathematika
4 Proceedings of the American Mathematical Society
4 European Journal of Combinatorics
4 Journal of Cryptology
4 Journal de Théorie des Nombres de Bordeaux
4 Integers
4 BIT. Nordisk Tidskrift for Informationsbehandling
3 Periodica Mathematica Hungarica
3 The Mathematical Intelligencer
3 Archiv der Mathematik
3 Journal of Algebra
3 Journal of Computational and Applied Mathematics
3 Journal of Computer and System Sciences
3 Proceedings of the Japan Academy. Series A
3 Combinatorica
3 Random Structures & Algorithms
3 The Electronic Journal of Combinatorics
2 Archive for History of Exact Sciences
2 Bulletin of the Australian Mathematical Society
2 Functiones et Approximatio. Commentarii Mathematici
2 Journal of Soviet Mathematics
2 Semigroup Forum
2 Transactions of the American Mathematical Society
2 Advances in Applied Mathematics
2 Journal of Symbolic Computation
2 Algorithmica
2 SIAM Journal on Discrete Mathematics
2 The Journal of Supercomputing
2 Journal of Integer Sequences
2 Acta Mathematica Sinica. English Series
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Journal of Discrete Algorithms
2 Bulletin of the American Mathematical Society
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 American Mathematical Monthly
1 Artificial Intelligence
1 Communications in Algebra
1 Israel Journal of Mathematics
1 Colloquium Mathematicum
1 Computing
1 Czechoslovak Mathematical Journal
1 Information Sciences
1 Journal of Graph Theory
1 Mathematics and Computers in Simulation
1 Mathematica Slovaca
1 Michigan Mathematical Journal
1 Programming and Computer Software
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Chinese Annals of Mathematics. Series B
1 Acta Mathematica Hungarica
1 Graphs and Combinatorics
1 Journal of Complexity
1 Revista Matemática Iberoamericana
1 Designs, Codes and Cryptography
1 Games and Economic Behavior
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 European Journal of Operational Research
1 International Journal of Computer Mathematics
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 RAIRO. Informatique Théorique et Applications
1 Mathematical Programming. Series A. Series B
1 Applicable Algebra in Engineering, Communication and Computing
1 Cybernetics and Systems Analysis
1 Experimental Mathematics
1 Journal of Mathematical Sciences (New York)
1 Journal of Difference Equations and Applications
1 Theory of Computing Systems
1 Taiwanese Journal of Mathematics
1 Lobachevskii Journal of Mathematics
1 Journal of the Australian Mathematical Society
1 Portugaliae Mathematica. Nova Série
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Chebyshevskiĭ Sbornik
1 Journal of Physics A: Mathematical and Theoretical
1 Acta Mathematica Universitatis Ostraviensis
1 International Journal of Combinatorics
1 Moscow Journal of Combinatorics and Number Theory
1 European Journal of Mathematics
1 Transactions of the American Mathematical Society. Series B
1 PUMP Journal of Undergraduate Research

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