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- John_Selfridge abstract "John Lewis Selfridge (February 17, 1927 in Ketchikan, Alaska – October 31, 2010 in DeKalb, Illinois), was an American mathematician who contributed to the fields of analytic number theory, computational number theory, and combinatorics. He co-authored 14 papers with Paul Erdős (giving him an Erdős number of 1).Selfridge received his Ph.D. in 1958 from the University of California, Los Angeles under the supervision of Theodore Motzkin.In 1962, he proved that 78,557 is a Sierpinski number; he showed that, when k=78,557, all numbers of the form k2n + 1 have a factor in the covering set {3, 5, 7, 13, 19, 37, 73}. Five years later, he and Sierpiński proposed the conjecture that 78,557 is the smallest Sierpinski number, and thus the answer to the Sierpinski problem. A distributed computing project called Seventeen or Bust is currently trying to prove this statement, as of January 2011 only six of the original seventeen possibilities remain.In 1975 John Brillhart, Derrick Henry Lehmer and Selfridge developed a method of proving the primality of p given only partial factorizations of p − 1 and p + 1. Together with Samuel Wagstaff they also all participated in the Cunningham project.Together with Paul Erdős, Selfridge solved a 250 year old problem, proving that the product of consecutive numbers is never a power. It took them many years to find the proof and John made extensive use of computers, but the final version of the proof requires only a modest amount of computation, namely evaluating an easily computed function f(n) for 30,000 consecutive values of n. Selfridge suffered from Writer's block and paid a former student to write up the result, even though it is only two pages long.As a mathematician, Selfridge was one of the most effective number theorists with a computer. He also had a way with words. On the occasion that another computational number theorist, Samuel Wagstaff, was lecturing at the semiannual Bloomington Illinois Number Theory Conference on his computer investigations into Fermat's Last Theorem, someone a little too pointedly asked him what methods he was using and kept insisting on an answer. Wagstaff stood there like a deer blinded in headlights, totally at a loss what to say, until Selfridge helped him out. \"He used the principle of computer fooling-aroundedness.\" Wagstaff said later that you probably wouldn't want to use that phrase in a research proposal asking for funding, such as an NSF proposal.Selfridge also developed the Selfridge–Conway discrete procedure for creating an envy-free cake-cutting among three people. Selfridge developed this in 1960, and John Conway independently discovered it in 1993. Neither of them ever published the result, but Richard Guy told many people Selfridge's solution in the 1960s, and it was eventually attributed to the two of them in a number of books and articles.Selfridge served on the faculties of the University of Illinois at Urbana-Champaign and Northern Illinois University from 1971 to 1991 (retirement), chairing the Department of Mathematical Sciences 1972–1976 and 1986–1990.He was executive editor of Mathematical Reviews from 1978 to 1986, overseeing the computerization of its operations [1]. He was a founder of the Number Theory Foundation [2], which has named its Selfridge prize in his honour.".
- John_Selfridge almaMater University_of_California,_Los_Angeles.
- John_Selfridge birthDate "1927-02-17".
- John_Selfridge birthPlace Ketchikan,_Alaska.
- John_Selfridge birthPlace United_States.
- John_Selfridge deathDate "2010-10-31".
- John_Selfridge doctoralAdvisor Theodore_Motzkin.
- John_Selfridge field Analytic_number_theory.
- John_Selfridge nationality United_States.
- John_Selfridge wikiPageExternalLink comm-mr.pdf.
- John_Selfridge wikiPageExternalLink Erdos-SelfridgeFunction.html.
- John_Selfridge wikiPageExternalLink mathtimes_fall07.htm.
- John_Selfridge wikiPageID "995084".
- John_Selfridge wikiPageLength "12278".
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- John_Selfridge wikiPageWikiLink Algorithmic_Number_Theory_Symposium.
- John_Selfridge wikiPageWikiLink Analytic_number_theory.
- John_Selfridge wikiPageWikiLink Carl_Pomerance.
- John_Selfridge wikiPageWikiLink Category:1927_births.
- John_Selfridge wikiPageWikiLink Category:2010_deaths.
- John_Selfridge wikiPageWikiLink Category:20th-century_mathematicians.
- John_Selfridge wikiPageWikiLink Category:Number_theorists.
- John_Selfridge wikiPageWikiLink Category:People_from_DeKalb,_Illinois.
- John_Selfridge wikiPageWikiLink Category:People_from_Ketchikan_Gateway_Borough,_Alaska.
- John_Selfridge wikiPageWikiLink Category:University_of_California,_Los_Angeles_alumni.
- John_Selfridge wikiPageWikiLink Combinatorics.
- John_Selfridge wikiPageWikiLink Computational_number_theory.
- John_Selfridge wikiPageWikiLink Covering_set.
- John_Selfridge wikiPageWikiLink Cunningham_project.
- John_Selfridge wikiPageWikiLink DeKalb,_Illinois.
- John_Selfridge wikiPageWikiLink Derrick_Henry_Lehmer.
- John_Selfridge wikiPageWikiLink Distributed_computing.
- John_Selfridge wikiPageWikiLink Doctor_of_Philosophy.
- John_Selfridge wikiPageWikiLink Envy-free_cake-cutting.
- John_Selfridge wikiPageWikiLink Erdős_number.
- John_Selfridge wikiPageWikiLink Factorization.
- John_Selfridge wikiPageWikiLink Fermat_number.
- John_Selfridge wikiPageWikiLink Fibonacci_Quarterly.
- John_Selfridge wikiPageWikiLink Fibonacci_number.
- John_Selfridge wikiPageWikiLink John_Brillhart.
- John_Selfridge wikiPageWikiLink John_Horton_Conway.
- John_Selfridge wikiPageWikiLink John_Selfridge.
- John_Selfridge wikiPageWikiLink Ketchikan,_Alaska.
- John_Selfridge wikiPageWikiLink Lander,_Parkin,_and_Selfridge_conjecture.
- John_Selfridge wikiPageWikiLink Mathematical_Reviews.
- John_Selfridge wikiPageWikiLink Mathematician.
- John_Selfridge wikiPageWikiLink Mersenne_conjectures.
- John_Selfridge wikiPageWikiLink Northern_Illinois_University.
- John_Selfridge wikiPageWikiLink Number_Theory_Foundation.
- John_Selfridge wikiPageWikiLink Paul_Erdős.
- John_Selfridge wikiPageWikiLink Richard_K._Guy.
- John_Selfridge wikiPageWikiLink Rocky_Mountain_Journal_of_Mathematics.
- John_Selfridge wikiPageWikiLink Samuel_S._Wagstaff,_Jr..
- John_Selfridge wikiPageWikiLink Selfridge–Conway_discrete_procedure.
- John_Selfridge wikiPageWikiLink Seventeen_or_Bust.
- John_Selfridge wikiPageWikiLink Sierpinski_number.
- John_Selfridge wikiPageWikiLink Theodore_Motzkin.
- John_Selfridge wikiPageWikiLink United_States.
- John_Selfridge wikiPageWikiLink University_of_California,_Los_Angeles.
- John_Selfridge wikiPageWikiLink University_of_Illinois_at_Urbana–Champaign.
- John_Selfridge wikiPageWikiLink Wacław_Sierpiński.
- John_Selfridge wikiPageWikiLink Writers_block.
- John_Selfridge wikiPageWikiLinkText "John Selfridge".
- John_Selfridge wikiPageWikiLinkText "Selfridge".
- John_Selfridge wikiPageWikiLinkText "Selfridge's Conjecture on Primality Testing".
- John_Selfridge wikiPageWikiLinkText "Selfridge's Primality Testing Conjecture".
- John_Selfridge wikiPageWikiLinkText "Selfridge, J. L.".
- John_Selfridge wikiPageWikiLinkText "Selfridge, John".
- John_Selfridge wikiPageWikiLinkText "a Conjecture of Selfridge's".
- John_Selfridge almaMater University_of_California,_Los_Angeles.
- John_Selfridge birthDate "1927-02-17".
- John_Selfridge birthPlace Ketchikan,_Alaska.
- John_Selfridge birthPlace United_States.
- John_Selfridge deathDate "2010-10-31".
- John_Selfridge doctoralAdvisor Theodore_Motzkin.
- John_Selfridge fields Analytic_number_theory.
- John_Selfridge name "John Selfridge".
- John_Selfridge nationality United_States.
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- John_Selfridge wikiPageUsesTemplate Template:Death_date.
- John_Selfridge wikiPageUsesTemplate Template:Infobox_scientist.
- John_Selfridge workplaces Northern_Illinois_University.
- John_Selfridge workplaces University_of_Illinois_at_Urbana–Champaign.
- John_Selfridge subject Category:1927_births.
- John_Selfridge subject Category:2010_deaths.
- John_Selfridge subject Category:20th-century_mathematicians.
- John_Selfridge subject Category:Number_theorists.
- John_Selfridge subject Category:People_from_DeKalb,_Illinois.
- John_Selfridge subject Category:People_from_Ketchikan_Gateway_Borough,_Alaska.
- John_Selfridge subject Category:University_of_California,_Los_Angeles_alumni.
- John_Selfridge hypernym Mathematician.
- John_Selfridge type Agent.
- John_Selfridge type Person.
- John_Selfridge type Scientist.
- John_Selfridge type Person.