Fifteen consecutive integers with exactly four prime factors
HTML articles powered by AMS MathViewer
- by Tony Forbes PDF
- Math. Comp. 71 (2002), 449-452 Request permission
Abstract:
We describe a successful search for a sequence of fifteen consecutive integers, each the product of exactly four prime factors. Fifteen is best possible.References
- L. E. Dickson, A new extension of Dirichlet’s theorem on prime numbers, Messenger of Mathematics 33 (1904), 155-161.
- Richard K. Guy, Unsolved problems in number theory, 2nd ed., Problem Books in Mathematics, Springer-Verlag, New York, 1994. Unsolved Problems in Intuitive Mathematics, I. MR 1299330, DOI 10.1007/978-1-4899-3585-4
- D. R. Heath-Brown, The divisor function at consecutive integers, Mathematika 31 (1984), no. 1, 141–149. MR 762186, DOI 10.1112/S0025579300010743
- C. Spiro, Thesis, Urbana, 1981.
Additional Information
- Tony Forbes
- Affiliation: 22 St. Albans Road, Kingston upon Thames, Surrey, KT2 5HQ, England
- Email: tonyforbes@ltkz.demon.co.uk
- Received by editor(s): March 14, 2000
- Published electronically: May 11, 2001
- © Copyright 2001 American Mathematical Society
- Journal: Math. Comp. 71 (2002), 449-452
- MSC (2000): Primary 11A51
- DOI: https://doi.org/10.1090/S0025-5718-01-01321-7
- MathSciNet review: 1863014