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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


A conjecture of Erdös on 3-powerful numbers
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by J. H. E. Cohn PDF
Math. Comp. 67 (1998), 439-440 Request permission


Erdös conjectured that the Diophantine equation $x+y=z$ has infinitely many solutions in pairwise coprime 3-powerful integers, i.e., positive integers $n$ for which $p\mid n$ implies $p^3\mid n$. This was recently proved by Nitaj who, however, was unable to verify the further conjecture that this could be done infinitely often with integers $x$, $y$ and $z$ none of which is a perfect cube. This is now demonstrated.
  • P. Erdös, Problems and results on consecutive integers, Eureka 38 (1975–76), 3–8.
  • L. J. Mordell, Diophantine equations, Pure and Applied Mathematics, Vol. 30, Academic Press, London-New York, 1969. MR 0249355
  • Abderrahmane Nitaj, On a conjecture of Erdős on $3$-powerful numbers, Bull. London Math. Soc. 27 (1995), no. 4, 317–318. MR 1335280, DOI 10.1112/blms/27.4.317
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Additional Information
  • J. H. E. Cohn
  • Affiliation: Department of Mathematics, Royal Holloway University of London, Egham, Surrey TW20 0EX, United Kingdom
  • Email:
  • Received by editor(s): May 15, 1996
  • Received by editor(s) in revised form: September 13, 1996
  • © Copyright 1998 American Mathematical Society
  • Journal: Math. Comp. 67 (1998), 439-440
  • MSC (1991): Primary 11P05
  • DOI:
  • MathSciNet review: 1432127