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The Mathematical Intelligencer

, Volume 19, Issue 2, pp 26–29 | Cite as

Mathematical entertainments

Lucky numbers and 2187
  • Alexander Shen
  • Martin Gardner
Department

Keywords

Mathematical Intelligencer Decimal Fraction House Number Nonzero Digit Sieve Process 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. “On Certain Sequences of Integers Defined by Sieves.” Verna Gardiner, R. Lazarus, Nicholas Metropolis, and Stanislaw Ulam.Mathematics Magazine, Vol. 31, 1956, pp. 117–122.CrossRefMathSciNetGoogle Scholar
  2. “The Lucky Number Theorem.” David Hawkins and W. W. Briggs.Mathematics Magazine, Vol. 31, 1957-58, pp. 81–84, 277–280.CrossRefzbMATHMathSciNetGoogle Scholar
  3. A Collection of Mathematical Problems. Stanislaw Ulam. (Interscience, 1960), p. 120.Google Scholar
  4. “Prime-like Sequences Generated by a Sieve Process.” W. E. Briggs.Duke Mathematical Journal, Vol. 30, 1963, pp. 297–312.CrossRefzbMATHMathSciNetGoogle Scholar
  5. “Sieve-generated Sequences.” Marvin Wunderlich.The Canadian Journal of Mathematics, Vol. 18, 1966, pp. 291–299.CrossRefzbMATHMathSciNetGoogle Scholar
  6. “A General Class of Sieve-generated Sequences.” Marvin Wunderlich,Acta Arithmetica, Vol. 16, 1969, pp. 41–56.zbMATHMathSciNetGoogle Scholar
  7. Excursions in Number Theory. C. Stanley Ogilvy and John T. Anderson. (Dover, 1988), pp. 100–102.Google Scholar
  8. The Penguin Dictionary of Curious and Interesting Numbers. David Wells. (Penguin, 1986), pp. 13, 32–33.Google Scholar
  9. Unsolved Problems in Number Theory. Richard K. Guy. (Second edition, Springer-Verlag, 1994), pp. 108–109.Google Scholar
  10. Zero to Lazy Eight. Alexander Humez, et al. (Simon and Schuster, 1993), pp. 198–200.Google Scholar
  11. Collection of Problems on Smarandache Notions. Charles Ashbacher. (Erhus University Press, 1996), pp. 51–52.Google Scholar

Copyright information

© Springer Science+Business Media, Inc 1997

Authors and Affiliations

  1. 1.Institute for Problems of Information TransmissionMoscow GSP-4Russia
  2. 2.HendersonvilleUSA

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