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A large pair of twin primes


Author: Tony Forbes
Journal: Math. Comp. 66 (1997), 451-455
MSC (1991): Primary 11A41; Secondary 11A51
DOI: https://doi.org/10.1090/S0025-5718-97-00793-X
MathSciNet review: 1372004
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Abstract: We describe an efficient integer squaring algorithm (involving the fast Fourier transform modulo $F_8)$ that was used on a 486 computer to discover a large pair of twin primes.


References [Enhancements On Off] (What's this?)

  • 1. Tony Forbes, Prime k-tuplets$-10$, M500 146 (1995), 8-12.
  • 2. J. Brillhart, D. H. Lehmer, and J. L. Selfridge, New primality criteria and factorizations of $2^m\pm 1$, Math. Comp. 29 (1975), 620-647. MR 52:5546
  • 3. A. V. Aho, J. E. Hopcroft and J. D. Ullman, The design and analysis of computer algorithms, Addison-Wesley, Reading, MA, 1975. MR 54:1706
  • 4. C. K. Caldwell, UBASIC, J. Recreational Math. 25 (1993), 47-54.
  • 5. G. H. Hardy and J. E. Littlewood, Some problems of `Partitio Numerorum'; III: On the expression of a number as a sum of primes, Acta Math. 44 (1922), 1-70.

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Additional Information

Tony Forbes
Affiliation: 22 St. Albans Road, Kingston upon Thames, Surrey, KT2 5HQ, England
Email: tonyforbes@ltkz.demon.co.uk

DOI: https://doi.org/10.1090/S0025-5718-97-00793-X
Received by editor(s): October 9, 1995
Received by editor(s) in revised form: December 6, 1995, and January 26, 1996
Article copyright: © Copyright 1997 American Mathematical Society

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