Resonance

, Volume 11, Issue 2, pp 78–87

The Sierpinski problem

  • Shailesh A. Shirali
Classroom
  • 75 Downloads

Abstract

In this article, we describe briefly a number-theoretic problem first studied by Sierpiński, now known as theSierpiński problem. The problem remains open.

Keywords

Sierpiński numbers Fermat numbers Chinese remainder theorem covering set 

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Suggested Reading

  1. [1]
    http://www.seventeenorbust.com/+Google Scholar
  2. [2]
    http://primes.utm.edu/glossary/page.php?sort=SierpinskiNumber+Google Scholar
  3. [3]
    R Baillie, G Cormack, and H C Williams, The problem of Sierpinski concerningk. 2n + 1’,Math. Comp., Vol. 37, pp. 229–231, 1981.CrossRefGoogle Scholar
  4. [4]
    W Keller, Factors of Fermat numbers and large primes of the formk. 2n + 1,Math. Comp., Vol. 41, pp. 661–673, 1983.CrossRefGoogle Scholar
  5. [5]
    P Ribenboim,The New Book of Prime Number Records, Springer Verlag, 1996.Google Scholar
  6. [6]
    W Sierpinski, Sur un probleme concernant les nombresk. 2n+ 1,Elem. Math., Vol. 15, pp. 73–74, 1960.Google Scholar

Copyright information

© Indian Academy of Sciences 2006

Authors and Affiliations

  • Shailesh A. Shirali
    • 1
  1. 1.Amber Valley Residential SchoolChikmagalur KarnatakaIndia

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