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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
MathSciNet review:
1863014
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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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Additional Information:
Tony
Forbes
Affiliation:
22 St. Albans Road, Kingston upon Thames, Surrey, KT2 5HQ, England
Email:
tonyforbes@ltkz.demon.co.uk
DOI:
10.1090/S0025-5718-01-01321-7
PII:
S 0025-5718(01)01321-7
Keywords:
Prime factors
Received by editor(s):
March 14, 2000
Posted:
May 11, 2001
Copyright of article:
Copyright
2001,
American Mathematical Society
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