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==References== *{{Citation |last=Golomb |first=S. W. |date=January 1, 1963 |title=On the sum of the reciprocals of the Fermat numbers and related irrationalities |journal=Canadian Journal of Mathematics |volume=15 |pages=475–478 |doi=10.4153/CJM-1963-051-0 |s2cid=123138118 |doi-access=free }} *{{Citation |last1=Grytczuk |first1=A. |last2=Luca |first2=F. |last3=Wójtowicz |first3=M. |name-list-style=amp |year=2001 |title=Another note on the greatest prime factors of Fermat numbers |journal=Southeast Asian Bulletin of Mathematics |volume=25 |issue=1 |pages=111–115 |doi=10.1007/s10012-001-0111-4 |s2cid=122332537 }} *{{citation |last=Guy |first=Richard K. |author-link=Richard K. Guy |title=Unsolved Problems in Number Theory |year=2004 |edition=3rd |publisher=[[Springer Verlag]] |series=Problem Books in Mathematics |volume=1 |location=New York |isbn=978-0-387-20860-2 |pages=A3, A12, B21 |url=https://www.springer.com/mathematics/numbers/book/978-0-387-20860-2?otherVersion=978-0-387-26677-0 }} *{{citation |last1=Křížek |first1=Michal |last2=Luca |first2=Florian |last3=Somer |first3=Lawrence |name-list-style=amp |title=17 Lectures on Fermat Numbers: From Number Theory to Geometry |year=2001 |series=CMS books in mathematics |volume=10 |publisher=Springer |location=New York |isbn=978-0-387-95332-8 |url=https://www.springer.com/mathematics/numbers/book/978-0-387-95332-8 }} - This book contains an extensive list of references. *{{Citation |last1=Křížek |first1=Michal |last2=Luca |first2=Florian |last3=Somer |first3=Lawrence |name-list-style=amp |year=2002 |title=On the convergence of series of reciprocals of primes related to the Fermat numbers |journal=Journal of Number Theory |volume=97 |issue=1 |pages=95–112 |doi=10.1006/jnth.2002.2782 |doi-access=free }} *{{Citation |last=Luca |first=Florian |year=2000 |title=The anti-social Fermat number |journal=American Mathematical Monthly |volume=107 |issue=2 |pages=171–173 |doi=10.2307/2589441 |url=http://www.maa.org/publications/periodicals/american-mathematical-monthly/american-mathematical-monthly-february-2000 |jstor=2589441 }} *{{Citation |last=Ribenboim |first=Paulo |author-link=Paulo Ribenboim |year=1996 |title=The New Book of Prime Number Records |publisher=Springer |location=New York |edition=3rd |isbn=978-0-387-94457-9 |url=https://www.springer.com/mathematics/numbers/book/978-0-387-94457-9 }} *{{Citation |last=Robinson |first=Raphael M. |title=Mersenne and Fermat Numbers |journal=Proceedings of the American Mathematical Society |volume=5 |issue=5 |year=1954 |pages=842–846 |doi=10.2307/2031878 |jstor=2031878 |doi-access=free }} *{{citation |last=Yabuta |first=M. |journal=Fibonacci Quarterly |pages=439–443 |title=A simple proof of Carmichael's theorem on primitive divisors |url=http://www.fq.math.ca/Scanned/39-5/yabuta.pdf |archive-url=https://ghostarchive.org/archive/20221009/http://www.fq.math.ca/Scanned/39-5/yabuta.pdf |archive-date=2022-10-09 |url-status=live |volume=39 |year=2001 |issue=5 |doi=10.1080/00150517.2001.12428701 }}
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