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Repdigit
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==History== The concept of a repdigit has been studied under that name since at least 1974;<ref>{{cite journal|last=Trigg|first=Charles W.|author-link=Charles W. Trigg|journal=The Fibonacci Quarterly|mr=354535|pages=209β212|title=Infinite sequences of palindromic triangular numbers|url=https://www.mathstat.dal.ca/FQ/Scanned/12-2/trigg.pdf|volume=12|year=1974|issue=2 |doi=10.1080/00150517.1974.12430760 }}</ref> earlier {{harvtxt|Beiler|1966}} called them "monodigit numbers".<ref name=beiler/> The Brazilian numbers were introduced later, in 1994, in the 9th Iberoamerican Mathematical Olympiad that took place in [[Fortaleza]], Brazil. The first problem in this competition, proposed by Mexico, was as follows:<ref>{{cite book|title=Hypermath|author=Pierre Bornsztein| location=Paris|publisher=Vuibert| page=7, exercice a35<!--endif p.totales-->|year=2001}}</ref> <blockquote> A number {{nowrap|''n'' > 0}} is called "Brazilian" if there exists an integer ''b'' such that {{nowrap|1 < ''b'' < ''n'' β 1}} for which the representation of ''n'' in base ''b'' is written with all equal digits. Prove that 1994 is Brazilian and that 1993 is not Brazilian. </blockquote>
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