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106.31 What proportion of square-free numbers are divisible by 2? or by 30 but not by 7?

Published online by Cambridge University Press:  12 October 2022

Ron Brown*
Affiliation:
Department of Mathematics, University of Hawaii, 2565 McCarthy Mall, Honolulu, Hawaii 96822 e-mail: ron@math.hawaii.edu
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Abstract

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Copyright
© The Authors, 2022. Published by Cambridge University Press on behalf of The Mathematical Association

References

Hardy, G. H. and Wright, E. M., An Introduction to the Theory of Numbers (5th edn.) Oxford University Press (1979).Google Scholar
Scott, J. A., Square-free integers once again, Math. Gaz. 92 (March 2008) pp. 70-71.Google Scholar
Jameson, G. J. O., Even and odd square-free numbers, Math. Gaz. 94 (March 2010) pp. 123-127.Google Scholar
Niven, I. and Zuckerman, H. S., An Introduction to the Theory of Numbers (4th edn.) Wiley (1980).Google Scholar
Brown, R., The natural density of some sets of square-free numbers, Integers 21 (2021)#A81Google Scholar