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词条 Ralph Ernest Powers
释义

  1. Life

  2. Works

  3. See also

  4. References

  5. External links

Ralph Ernest Powers (April 27, 1875 – January 31, 1952) was an American amateur mathematician who worked on prime numbers.

He is credited with discovering the Mersenne primes {{math|M89}} and {{math|M107}}, in 1911 and 1914 respectively.[1][2] In 1934 he verified that the Mersenne number {{math|M241}} is composite.[3]

Life

Details of his life are little-known,[4] though he appears to have been an employee of the Denver and Rio Grande Western Railroad.[5]

Soon after Powers announced the discovery of {{math|M107}}, the Frenchman E. Fauquembergue claimed that he had discovered it earlier, but many of Fauquembergue's other claims were later demonstrated as erroneous; thus, many prefer recognizing Powers as the discoverer, including the well-known Internet resource The Prime Pages.

Works

  • ‘The Tenth Perfect Number', American Mathematical Monthly, Vol. 18 (1911), pp. 195–7
  • ’On Mersenne's Numbers', Proceedings of the London Mathematical Society, Vol. 13 (1914), p. xxxix
  • 'A Mersenne Prime', Bulletin of the American Mathematical Society, Vol. 20, No. 10 (1914), p. 531
  • ’Certain composite Mersenne's numbers', Proceedings of the London Mathematical Society Vol. 15 (1916), p. xxii
  • (with D. H. Lehmer) 'On Factoring Large Numbers', Bulletin of the American Mathematical Society, Vol. 37. No. 10 (1931), pp. 770–76
  • ’Note on a Mersenne Number', Bulletin of the American Mathematical Society, Vol. 40, No. 12 (1934), p. 883

See also

  • Continued fraction factorization

References

1. ^{{cite journal |journal=American Mathematical Monthly |title=The Tenth Perfect Number |author=R. E. Powers |volume= 18 |year=1911 |pp=195–7 |jstor=2972574 |quote=The article is signed "DENVER, COLORADO, June, 1911" |doi=10.2307/2972574}}
2. ^http://plms.oxfordjournals.org/content/s2-13/1/1.1.full.pdf Proc. London Math. Soc. (1914) s2–13 (1): 1. Result presented at a meeting with London Mathematical Society on June 11, 1914. Retrieved 2016-04-17.
3. ^{{cite journal |journal=Bulletin of the American Mathematical Society |title=Note on a Mersenne Number |author=R. E. Powers |volume= 40 |year=1934 |page=883 |doi=10.1090/s0002-9904-1934-05994-9}}
4. ^Obituary by D. H. Lehmer
5. ^{{cite book|author=Hugh C. Williams|title=Edouard Lucas and Primality Testing|url=https://books.google.com/books?id=9MxmRntmJF4C|year=1998|publisher=Wiley|isbn=978-0-471-14852-4}}

External links

  • The Prime Pages website
  • Mersenne and Fermat Numbers (Robinson); brief treatment of Powers
  • The Tenth Perfect Number, an article by Powers announcing the primality of M89
{{authority control}}{{DEFAULTSORT:Powers, R. E.}}{{US-mathematician-stub}}

3 : 1875 births|1952 deaths|Number theorists

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