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== References == {{reflist|refs= <ref name=Weisstein2016>{{mathworld|id=BernoulliNumber |title=Bernoulli Number|mode=cs2}}</ref> <ref name=Selin1997_891>{{citation |editor-last=Selin |editor-first=Helaine | editor-link=Helaine Selin |date=1997 |title=Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures |isbn=0-7923-4066-3 |at=p. 819 (p. 891) |publisher=Springer |bibcode=2008ehst.book.....S}}</ref> <ref name=SmithMikami1914_108>{{citation |last1=Smith |first1=David Eugene |last2=Mikami |first2=Yoshio |date=1914 |title=A history of Japanese mathematics |publisher=Open Court publishing company |page=108}}; [https://books.google.com/books?id=pTcQsvfbSu4C reprinted], Dover Publications, 2005, {{isbn|9780486434827}}</ref> <ref name=Kitagawa>{{citation|last=Kitagawa|first=Tomoko L.|date=2021-07-23|title=The Origin of the Bernoulli Numbers: Mathematics in Basel and Edo in the Early Eighteenth Century|journal=The Mathematical Intelligencer|volume=44 |pages=46–56 |language=en|doi=10.1007/s00283-021-10072-y|issn=0343-6993|doi-access=free}}</ref> <ref name=Menabrea1842_noteG>{{citation |last=Menabrea |first=L.F. |date=1842 |title=Sketch of the Analytic Engine invented by Charles Babbage, with notes upon the Memoir by the Translator Ada Augusta, Countess of Lovelace |journal=Bibliothèque Universelle de Genève |volume=82 |at=See ''Note G'' |url=http://www.fourmilab.ch/babbage/sketch.html}}</ref> <ref name=Jacobi1834>{{citation |last=Jacobi |first=C.G.J. |author-link=Carl Gustav Jacob Jacobi |title=De usu legitimo formulae summatoriae Maclaurinianae |journal=Journal für die reine und angewandte Mathematik |volume=12 |date=1834 |pages=263–272 |url=https://zenodo.org/record/1448824 }}</ref> <ref name="Saalschütz1893">{{citation |last=Saalschütz |first=Louis |date=1893 |title=Vorlesungen über die Bernoullischen Zahlen, ihren Zusammenhang mit den Secanten-Coefficienten und ihre wichtigeren Anwendungen |place=Berlin |publisher=Julius Springer |url=https://books.google.com/books?id=-H8olxg5f1gC }}.</ref> <ref name=BuhlerCraErnMetShokrollahi2001>{{citation |last1=Buhler |first1=J. |last2=Crandall |first2=R. |last3=Ernvall |first3=R. |last4=Metsankyla |first4=T. |last5=Shokrollahi |first5=M. |title=Irregular Primes and Cyclotomic Invariants to 12 Million |journal=Journal of Symbolic Computation |volume=31 |issue=1–2 |date=2001 |pages=89–96 |doi=10.1006/jsco.1999.1011|doi-access=free }}</ref> <ref name=Harvey2010>{{citation |last=Harvey |first=David |date=2010 |title=A multimodular algorithm for computing Bernoulli numbers |journal=Math. 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