Edit Profile Selfridge, John L. Compute Distance To: Compute Author ID: 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 all top 5 Co-Authors 0 single-authored 15 Erdős, Pál 11 Guy, Richard Kenneth 10 Lacampagne, Carole B. 7 Eggleton, Roger B. 5 Lehmer, Derrick Henry 4 Brillhart, John 4 Ecklund, Earl F. jun. 4 Nicol, Charles A. 4 Wagstaff, Samuel S. jun. 3 Pomerance, Carl Bernard 3 Wunderlich, Marvin C. 2 Blecksmith, Richard 2 Tuckerman, Bryant 2 Vandiver, Harry Schultz 1 Bateman, Paul Trevier 1 Blair, William Dale 1 Cohen, Fred R. 1 Devitt, John S. 1 Eggan, L. C. 1 Eggan, Peter C. 1 Filaseta, Michael A. 1 Granville, Andrew James 1 Howie, John Mackintosh 1 Hurwitz, Alexander 1 Kozek, Mark 1 Lander, Leon J. 1 Lin, Cantian 1 Malouf, Janice L. 1 McCallum, Michael 1 Meyerowitz, Aaron D. 1 Miller, Ronald E. 1 Mills, William Harold 1 Parkin, T. R. 1 Shiue, Peter Jau-Shyong 1 Straus, Ernst G. 1 Szekeres, Esther 1 Trotskaia Lehmer, Emma all top 5 Serials 12 Mathematics of Computation 8 American Mathematical Monthly 2 Illinois Journal of Mathematics 2 Journal of the Australian Mathematical Society. Series A 2 Proceedings of the National Academy of Sciences of the United States of America 2 Contemporary Mathematics 1 Discrete Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Mathematics Magazine 1 Acta Arithmetica 1 The Fibonacci Quarterly 1 Journal of Combinatorial Theory. Series A 1 Mathematika 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 1 Communications of the ACM 1 IBM Journal of Research and Development 1 The Electronic Journal of Combinatorics 1 Integers 1 Journal of Combinatorics and Number Theory all top 5 Fields 54 Number theory (11-XX) 6 Combinatorics (05-XX) 4 Numerical analysis (65-XX) 3 Computer science (68-XX) 1 Group theory and generalizations (20-XX) 1 Convex and discrete geometry (52-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 40 Publications have been cited 414 times in 380 Documents Cited by ▼ Year ▼ On a combinatorial game. Zbl 0293.05004Erdős, Paul; Selfridge, J. L. 76 1973 The product of consecutive integers is never a power. Zbl 0295.10017Erdős, Paul; Selfridge, J. L. 57 1975 The pseudoprimes to \(25\cdot 10^9\). Zbl 0444.10007Pomerance, Carl; Selfridge, J. L.; Wagstaff, Samuel S. jun. 42 1980 New primality criteria and factorizations of \(2^m\pm 1\). Zbl 0311.10009Brillhart, 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 0659.10001Brillhart, 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 0527.10001Brillhart, 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 0296.10029Cohen, Fred; Selfridge, J. L. 17 1975 A survey of equal sums of like powers. Zbl 0149.28803Lander, L. J.; Parkin, T. R.; Selfridge, J. L. 17 1967 Machine proof of a theorem on cubic residues. Zbl 0105.26501Lehmer, 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 0084.02201Selfridge, J. L.; Straus, E. G. 11 1958 A design for a number theory package with an optimized trial division routine. Zbl 0276.68025Wunderlich, M. C.; Selfridge, J. L. 10 1974 Some factorizations of \(2^n\pm 1\) and related results. Zbl 0146.04903Brillhart, John; Selfridge, J. L. 9 1967 Some problems on the prime factors of consecutive integers. II. Zbl 0228.10028Erdős, Paul; Selfridge, J. L. 7 1971 Proof of Fermat’s last theorem for all prime exponents less than 4002. Zbl 0065.27304Selfridge, J. L.; Nicol, C. A.; Vandiver, H. S. 7 1955 Fermat numbers and Mersenne numbers. Zbl 0121.28306Selfridge, J. L.; Hurwitz, Alexander 6 1964 Proof of D. J. Newman’s coprime mapping conjecture. Zbl 0442.10003Pomerance, Carl; Selfridge, J. L. 5 1980 What drives an aliquot sequence? Zbl 0296.10007Guy, Richard K.; Selfridge, J. L. 5 1975 Primes at a glance. Zbl 0608.10011Guy, R. K.; Lacampagne, C. B.; Selfridge, J. L. 4 1987 Consecutive integers with no large prime factors. Zbl 0343.10024Eggleton, R. B.; Selfridge, J. L. 4 1976 Estimates of the least prime factor of a binomial coefficient. Zbl 0781.11008Erdős, Paul; Lacampagne, C. B.; Selfridge, J. L. 3 1993 Euclidean quadratic fields. Zbl 0770.11047Eggleton, R. B.; Lacampagne, C. B.; Selfridge, J. L. 3 1992 On the prime factorization of binomial coefficients. Zbl 0393.10005Ecklund, E. F. jun.; Eggleton, R. B.; Erdős, Paul; Selfridge, J. L. 3 1978 Complete prime subsets of consecutive integers. Zbl 0267.10054Erdős, Paul; Selfridge, J. L. 3 1971 Interim report on aliquot series. Zbl 0266.10006Guy, Richard K.; Selfridge, J. L. 3 1971 Composites that remain composite after changing a digit. Zbl 1245.11018Filaseta, Michael; Kozek, Mark; Nicol, Charles; Selfridge, John 2 2010 Third report on aliquot sequences. Zbl 0476.10003Devitt, J. S.; Guy, Richard K.; Selfridge, J. L. 2 1977 A new function associated with the prime factors of \(\binom{n}{k}\). Zbl 0279.10034Ecklund, E. F.; Erdős, Paul; Selfridge, J. L. 2 1974 3-smooth representations of integers. Zbl 0918.11005Blecksmith, Richard; McCallum, Michael; Selfridge, J. L. 1 1998 A semigroup embedding problem and an arithmetical function. Zbl 0744.20047Howie, John M.; Selfridge, J. L. 1 1991 The new Mersenne conjecture. Zbl 0694.10005Bateman, P. T.; Selfridge, J. L.; Wagstaff, S. S. jun. 1 1989 Prime factors of binomial coefficients and related problems. Zbl 0669.10011Erdős, Paul; Lacampagne, C. B.; Selfridge, J. L. 1 1988 Factoring large numbers on a pocket calculator. Zbl 0611.10002Blair, W. D.; Lacampagne, C. B.; Selfridge, J. L. 1 1986 Corrigendum to ”What drives an aliquot sequence?”. Zbl 0423.10005Guy, Richard K.; Selfridge, J. L. 1 1980 Computation of sequences maximizing least common multiples. Zbl 0332.10002Eggleton, R. B.; Erdős, Paul; Selfridge, J. L. 1 1976 Optimal coverings of the square. Zbl 0311.05026Guy, R. K.; Selfridge, J. L. 1 1975 Consecutive integers all of whose prime factors belong to a given set. Zbl 0329.10033Ecklund, E. F. jun.; Eggleton, R. B.; Selfridge, J. L. 1 1974 Second report on aliquot sequences. Zbl 0325.10007Guy, Richard K.; Lehmer, D. H.; Selfridge, J. L.; Wunderlich, M. C. 1 1974 The nesting and roosting habits of the laddered parenthesis. Zbl 0279.05011Guy, R. K.; Selfridge, J. L. 1 1973 Factors of consecutive integers. Zbl 0267.10055Ecklund, E. F. jun.; Eggleton, R. B.; Selfridge, J. L. 1 1971 Some problems on the prime factors of consecutive integers. Zbl 0149.28901Erdős, Paul; Selfridge, John L. 1 1967 Composites that remain composite after changing a digit. Zbl 1245.11018Filaseta, Michael; Kozek, Mark; Nicol, Charles; Selfridge, John 2 2010 3-smooth representations of integers. Zbl 0918.11005Blecksmith, Richard; McCallum, Michael; Selfridge, J. L. 1 1998 Estimates of the least prime factor of a binomial coefficient. Zbl 0781.11008Erdős, Paul; Lacampagne, C. B.; Selfridge, J. L. 3 1993 Euclidean quadratic fields. Zbl 0770.11047Eggleton, R. B.; Lacampagne, C. B.; Selfridge, J. L. 3 1992 A semigroup embedding problem and an arithmetical function. Zbl 0744.20047Howie, John M.; Selfridge, J. L. 1 1991 The new Mersenne conjecture. Zbl 0694.10005Bateman, 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 0659.10001Brillhart, John; Lehmer, D. H.; Selfridge, J. L.; Tuckerman, Bryant; Wagstaff, S. S. jun. 33 1988 Prime factors of binomial coefficients and related problems. Zbl 0669.10011Erdős, Paul; Lacampagne, C. B.; Selfridge, J. L. 1 1988 Primes at a glance. Zbl 0608.10011Guy, R. K.; Lacampagne, C. B.; Selfridge, J. L. 4 1987 Factoring large numbers on a pocket calculator. Zbl 0611.10002Blair, 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 0527.10001Brillhart, John; Lehmer, D. H.; Selfridge, J. L.; Tuckerman, Bryant; Wagstaff, S. S. jun. 25 1983 The pseudoprimes to \(25\cdot 10^9\). Zbl 0444.10007Pomerance, Carl; Selfridge, J. L.; Wagstaff, Samuel S. jun. 42 1980 Proof of D. J. Newman’s coprime mapping conjecture. Zbl 0442.10003Pomerance, Carl; Selfridge, J. L. 5 1980 Corrigendum to ”What drives an aliquot sequence?”. Zbl 0423.10005Guy, Richard K.; Selfridge, J. L. 1 1980 On the prime factorization of binomial coefficients. Zbl 0393.10005Ecklund, E. F. jun.; Eggleton, R. B.; Erdős, Paul; Selfridge, J. L. 3 1978 Third report on aliquot sequences. Zbl 0476.10003Devitt, J. S.; Guy, Richard K.; Selfridge, J. L. 2 1977 Consecutive integers with no large prime factors. Zbl 0343.10024Eggleton, R. B.; Selfridge, J. L. 4 1976 Computation of sequences maximizing least common multiples. Zbl 0332.10002Eggleton, R. B.; Erdős, Paul; Selfridge, J. L. 1 1976 The product of consecutive integers is never a power. Zbl 0295.10017Erdős, Paul; Selfridge, J. L. 57 1975 New primality criteria and factorizations of \(2^m\pm 1\). Zbl 0311.10009Brillhart, John; Lehmer, D. H.; Selfridge, J. L. 34 1975 Not every number is the sum or difference of two prime powers. Zbl 0296.10029Cohen, Fred; Selfridge, J. L. 17 1975 What drives an aliquot sequence? Zbl 0296.10007Guy, Richard K.; Selfridge, J. L. 5 1975 Optimal coverings of the square. Zbl 0311.05026Guy, R. K.; Selfridge, J. L. 1 1975 A design for a number theory package with an optimized trial division routine. Zbl 0276.68025Wunderlich, M. C.; Selfridge, J. L. 10 1974 A new function associated with the prime factors of \(\binom{n}{k}\). Zbl 0279.10034Ecklund, E. F.; Erdős, Paul; Selfridge, J. L. 2 1974 Consecutive integers all of whose prime factors belong to a given set. Zbl 0329.10033Ecklund, E. F. jun.; Eggleton, R. B.; Selfridge, J. L. 1 1974 Second report on aliquot sequences. Zbl 0325.10007Guy, Richard K.; Lehmer, D. H.; Selfridge, J. L.; Wunderlich, M. C. 1 1974 On a combinatorial game. Zbl 0293.05004Erdős, Paul; Selfridge, J. L. 76 1973 The nesting and roosting habits of the laddered parenthesis. Zbl 0279.05011Guy, R. K.; Selfridge, J. L. 1 1973 Some problems on the prime factors of consecutive integers. II. Zbl 0228.10028Erdős, Paul; Selfridge, J. L. 7 1971 Complete prime subsets of consecutive integers. Zbl 0267.10054Erdős, Paul; Selfridge, J. L. 3 1971 Interim report on aliquot series. Zbl 0266.10006Guy, Richard K.; Selfridge, J. L. 3 1971 Factors of consecutive integers. Zbl 0267.10055Ecklund, E. F. jun.; Eggleton, R. B.; Selfridge, J. L. 1 1971 A survey of equal sums of like powers. Zbl 0149.28803Lander, L. J.; Parkin, T. R.; Selfridge, J. L. 17 1967 Some factorizations of \(2^n\pm 1\) and related results. Zbl 0146.04903Brillhart, John; Selfridge, J. L. 9 1967 Some problems on the prime factors of consecutive integers. Zbl 0149.28901Erdős, Paul; Selfridge, John L. 1 1967 Fermat numbers and Mersenne numbers. Zbl 0121.28306Selfridge, J. L.; Hurwitz, Alexander 6 1964 Machine proof of a theorem on cubic residues. Zbl 0105.26501Lehmer, 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 0084.02201Selfridge, J. L.; Straus, E. G. 11 1958 Proof of Fermat’s last theorem for all prime exponents less than 4002. Zbl 0065.27304Selfridge, J. L.; Nicol, C. A.; Vandiver, H. S. 7 1955 all cited Publications top 5 cited Publications 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 all top 5 Cited in 20 Fields 273 Number theory (11-XX) 77 Combinatorics (05-XX) 46 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 37 Computer science (68-XX) 17 Information and communication theory, circuits (94-XX) 13 Algebraic geometry (14-XX) 10 Group theory and generalizations (20-XX) 10 Numerical analysis (65-XX) 7 Operations research, mathematical programming (90-XX) 6 History and biography (01-XX) 4 Convex and discrete geometry (52-XX) 3 Field theory and polynomials (12-XX) 2 Special functions (33-XX) 2 Probability theory and stochastic processes (60-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) Citations by Year Wikidata Timeline