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Hans Riesel information


Hans Ivar Riesel (May 28, 1929 in Stockholm – December 21, 2014) was a Swedish mathematician who discovered the 18th Mersenne prime in 1957, using the computer BESK:[1][2] this prime is 23217-1 and consists of 969 digits. He held the record for the largest known prime from 1957 to 1961, when Alexander Hurwitz discovered a larger one.[3] Riesel also discovered the Riesel numbers as well as developing the Lucas–Lehmer–Riesel test. After having worked at the Swedish Board for Computing Machinery, he was awarded his Ph.D. from Stockholm University in 1969 for his thesis Contributions to numerical number theory,[4][5] and in the same year joined the Royal Institute of Technology as a senior lecturer and associate professor.

  1. ^ Tattersall, James J. (2005). Elementary Number Theory in Nine Chapters (2nd ed.). Cambridge University Press. p. 141. ISBN 0-521-85014-2.
  2. ^ Devlin, Keith J. (1999). Mathematics: The New Golden Age (2nd ed.). Columbia University Press. p. 14. ISBN 0231116381.
  3. ^ Ny Teknik, 16 september 2008: Nytt primtalsrekord satt i dag
  4. ^ NADA: Hans Riesel, läst 22 april 2009
  5. ^ LIBRIS 1768091

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Hans Riesel

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Hans Ivar Riesel (May 28, 1929 in Stockholm – December 21, 2014) was a Swedish mathematician who discovered the 18th Mersenne prime in 1957, using the...

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Riesel

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Riesel may refer to: Hans Riesel (1929–2014), Swedish mathematician who discovered a Mersenne prime Victor Riesel (1913–1995), American labor union journalist...

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Riesel number

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mathematics: Is 509,203 the smallest Riesel number? (more unsolved problems in mathematics) In 1956, Hans Riesel showed that there are an infinite number...

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Computational number theory

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Springer-Verlag. doi:10.1007/978-1-4684-9316-0. ISBN 0-387-94777-9. Hans Riesel (1994). Prime Numbers and Computer Methods for Factorization. Progress...

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Largest known prime number

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1952 Raphael M. Robinson M3217 259117086013...362909315071 969 1957 Hans Riesel M4423 285542542228...902608580607 1,332 1961 Alexander Hurwitz M9689...

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List of Mersenne primes and perfect numbers

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67–72. January 1953. doi:10.1090/S0025-5718-53-99372-7. ISSN 0025-5718. Riesel, Hans (January 1958). "A New Mersenne Prime". Mathematics of Computation. 12...

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Lucas sequence

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CiteSeerX 10.1.1.174.660. doi:10.2140/pjm.1985.118.449. MR 0789184. Hans Riesel (1994). Prime Numbers and Computer Methods for Factorization. Progress...

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Fermat number

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another Fermat prime is less than one in a billion. Anders Bjorn and Hans Riesel estimated the number of square factors of Fermat numbers from F5 onward...

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BESK

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program[citation needed], but most of those calculations were done by SMIL. In 1957 Hans Riesel used BESK to discover a Mersenne prime with 969 digits - the largest...

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Hans von Tschammer und Osten

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Campbell, The SA Generals and the Rise of Nazism 'Sport und Staat Turnverein Riesel, History Archived 24 July 2011 at the Wayback Machine Liz Jewitt How successful...

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Deaths in December 2014

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House of Representatives (1965–1971). Tom Nieporte, 86, American golfer. Hans Riesel, 85, Swedish mathematician. Sitor Situmorang, 91, Indonesian poet and...

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Schnirelmann density

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constant is at most 7, improving the earlier upper bound of 19 obtained by Hans Riesel and R. C. Vaughan. Schnirelmann's constant is at least 3; Goldbach's...

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Binomial number

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and is deprecated. Cunningham project Riesel 1994, p. 309 Riesel 1994, p. 305 Riesel 1994, p. 165 Riesel, Hans (1994). Prime numbers and computer methods...

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Members of the Situationist International

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Garnault Anton Hartstein Herbert Holl Mustapha Khayati Ndjangani Lungela Rene Riesel Christian Sebastiani Patrick Straram René Viénet Erwin Eisch Heinz Hofl...

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Multiplicative group of integers modulo n

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translated by Maser, H., New York: Chelsea, ISBN 978-0-8284-0191-3 Riesel, Hans (1994), Prime Numbers and Computer Methods for Factorization (second...

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National Socialist League of the Reich for Physical Exercise

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deutschen Sports, Verlag Bartels & Wernitz. 'Sport und Staat Turnverein Riesel, History Archived 2011-07-24 at the Wayback Machine Liz Jewitt How successful...

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Primality test

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). Addison Wesley. pp. 222–227. ISBN 0-201-53082-1. Zbl 0833.68049. Riesel, Hans (1994). Prime Numbers and Computer Methods for Factorization. Progress...

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Prime number

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(PDF). Journal of Integer Sequences. 15 (9): Article 12.9.7. MR 3005530. Riesel, Hans (1994). Prime Numbers and Computer Methods for Factorization (2nd ed...

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Perfect number

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Computational Methods in Number Theory, Vol. 154, Amsterdam, 1982, pp. 141–157. Riesel, H. Prime Numbers and Computer Methods for Factorisation, Birkhauser, 1985...

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Padovan sequence

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Padovan who attributed its discovery to Dutch architect Hans van der Laan in his 1994 essay Dom. Hans van der Laan : Modern Primitive. The sequence was described...

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Jacobi symbol

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Laws: from Euler to Eisenstein. Berlin: Springer. ISBN 3-540-66957-4. Riesel, Hans (1994), Prime Numbers and Computer Methods for Factorization (second...

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