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简介:InApril2013,alecturerattheUniversityofNewHampshiresubmittedapapertotheAnnalsofMathematics.Withinweekswordspread:alittle-knownmathematician,withnopermanentjobandworkingincompleteisolation,hadmadeanimportantbreakthroughtowardssolvingtheTwinPrimeConjecture.YitangZhang'stechniquesforboundingthegapsbetweenprimessoonledtorapidincrementalprogressbythePolymathGroup,andthentoafurthermajorinnovationbyJamesMaynard.ThefilmisastudyofZhang'srisefromobscurityandadisadvantagedyouthtomathematicalcelebrity.Thestoryofquietperseveranceamidstadversity,andZhang'spreferenceforthinkingandworkinginsolitude,isinterwovenwithahistoryoftheTwinPrimeConjectureastoldbyseveralmathematicians,manyofwhomhavewrestledwiththisenormouslychallengingprobleminNumberTheory-DanielGoldston,KannanSoundararajan,AndrewGranville,PeterSarnak,EnricoBombieri,JamesMaynard,NicholasKatz,DavidEisenbud,KenRibet,andTerryTao.…