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On a problem of Kurt Mahler concerning binomial coefficents

Published online by Cambridge University Press:  17 April 2009

Ian S. Williams
Ian S. Williams
Affiliation:
Director's Unit, Research School of Physical Sciences, Australian National University, Canberra, ACT.
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Abstract

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Recently Kurt Mahler asked: for which natural numbers N is the least common multiple of all the binomial coefficients the product of the primes less than or equal to N? We obtain a formula for the least common multiple of all the binomial coefficients of any natural number N and hence show that 2,11, and 23 are the only soultions to Mahler's problem.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 14 , Issue 2 , April 1976 , pp. 299 - 302
Copyright
Copyright © Australian Mathematical Society 1976