About: John Selfridge

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John Lewis Selfridge (February 17, 1927 – October 31, 2010), was an American mathematician who contributed to the fields of analytic number theory, computational number theory, and combinatorics.

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rdfs:label	John L. Selfridge (de) John Selfridge (es) John Selfridge (fr) John Selfridge (en) John Selfridge (nl) 約翰·塞爾弗里奇 (zh)
rdfs:comment	John Lewis Selfridge (February 17, 1927 – October 31, 2010), was an American mathematician who contributed to the fields of analytic number theory, computational number theory, and combinatorics. (en) John Lewis Selfridge (né le 17 février 1927 à Ketchikan en Alaska et mort le 31 octobre 2010 à DeKalb (Illinois)), est un mathématicien américain qui a travaillé en théorie analytique des nombres, théorie algorithmique des nombres, et combinatoire. Il est coauteur de 14 articles avec Paul Erdős (ce qui lui donne le nombre d'Erdős 1). (fr) John Lewis Selfridge (* 17. Februar 1927 in Ketchikan, Alaska; † 31. Oktober 2010, DeKalb, Illinois) war ein US-amerikanischer Mathematiker, der sich mit algorithmischer Zahlentheorie, analytischer Zahlentheorie und Kombinatorik beschäftigte. Selfridge promovierte 1958 an der University of California, Los Angeles bei Theodore Motzkin (On finite semigroups). Ab 1971 war er Professor an der University of Illinois at Urbana-Champaign und danach an der Northern Illinois University. 1991 emeritierte er. (de) John L. Selfridge is een Amerikaans wiskundige die vooral bijdragen heeft geleverd op het gebied van de analytische getaltheorie. Hij schreef 14 artikelen samen met Paul Erdős. Selfridge promoveerde in 1958 aan de Universiteit van Californië in Los Angeles bij . (nl) 約翰·塞爾弗里奇（英語：John Selfridge，1927年2月17日－2010年10月31日）是美國數學家，專長在解析數論。他的埃尔德什数是1。 1958年於加州大学洛杉矶分校博士畢業，當時的畢業論文以抽象代數中的有限半群為主題。他對數論的貢獻有一些能以初等數學敍述，包括： * 埃尔德什-塞爾弗里奇質數分類法：給每個質數一個類別。對於大於質數p，若p+1的最大質因數是2或3，p屬於1+類；否則，若p+1的最大質因數是q，而q屬於c+類，則p屬於(c+1)+類。例子可見於OEIS （页面存档备份，存于互联网档案馆）。這樣分類的類別數目是否有上限是個未解決問題。 * 埃尔德什-塞爾弗里奇函數g(k) = 最小而又大於k+1的整數使得二項式係數C(g(k),k)的最小質因數大於k。對於k=1,2,...，g(k) = 3, 6, 7, 7, 23, 62, 143, 44, 159, 46, 47, 174... （） * 新梅森猜想 * 1962年，證明了78557是謝爾賓斯基數；5年後，他與瓦茨瓦夫·谢尔宾斯基猜想78557是最小的謝爾賓斯基數。雖然塞氏和謝氏均已作古，但現在有個分布式計算的項目「十七或者破產」以逐個正整數檢查的方式去試圖解決該猜想。 * 1975年，和埃尔德什解決了一個有足足150年歷史的數學猜想：整數連乘積必定不是高於1次的冪。（見下面的論文列表） * 和Andrew Granville證明了對於任意整數n，至少存在一個非空的集，元素都大於n2而小於(n+1)2，使得各數的積為一個平方數的兩倍。他們又猜想：給定n，這樣的集之中，元素數目最小的一個，元素數目不大於3。（參見） (zh)
foaf:name	John Selfridge (en)
name	John Selfridge (en)
birth place	Ketchikan, Alaska
death place	DeKalb, Illinois
death place	DeKalb, Illinois, United States (en)
death date	2010-10-31 (xsd:date)
birth place	Ketchikan, Alaska, United States (en)
birth date	1927-02-17 (xsd:date)
dcterms:subject	1927 births 2010 deaths 20th-century American mathematicians Number theorists People from DeKalb, Illinois People from Ketchikan, Alaska University of California, Los Angeles alumni
Wikipage page ID	995084 (xsd:integer)
Wikipage revision ID	1119566963 (xsd:integer)
Link from a Wikipage to another Wikipage	Number Theory Foundation DeKalb, Illinois Derrick Henry Lehmer Paul Erdős Richard K. Guy University of California, Los Angeles University of Illinois at Urbana-Champaign Covering set Envy-freeness Theodore Motzkin Sierpinski number Combinatorics Computational number theory Mathematical Reviews Mathematician 1927 births 2010 deaths 20th-century American mathematicians Number theorists People from DeKalb, Illinois People from Ketchikan, Alaska University of California, Los Angeles alumni Wacław Sierpiński Distributed computing Cunningham project Lander, Parkin, and Selfridge conjecture Selfridge–Conway discrete procedure Analytic number theory Factorization Fermat number Fibonacci number Northern Illinois University Carl Pomerance Fermat numbers Fibonacci Q. John Brillhart John Horton Conway Ketchikan, Alaska Writer's block

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