Mathematics of Computation

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ISSN 1088-6842(e) ISSN 0025-5718(p)

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Fifteen consecutive integers with exactly four prime factors

Author(s): Tony Forbes.
Journal: Math. Comp. 71 (2002), 449 - 452.
MSC (2000): Primary 11A51
Posted: May 11, 2001
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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:

1.: L. E. Dickson, A new extension of Dirichlet's theorem on prime numbers, Messenger of Mathematics 33 (1904), 155-161.
2.: Richard K. Guy, Unsolved Problems in Number Theory, 2nd ed., Springer-Verlag, New York, 1994. MR 96e:11002
3.: D. R. Heath-Brown, The divisor function at consecutive integers, Mathematika 31 (1984), 141-149. MR 86c:11071
4.: C. Spiro, Thesis, Urbana, 1981.


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