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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
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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The Mathematical Gazette , Volume 106 , Issue 567 , November 2022 , pp. 494 - 497
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© The Authors, 2022. Published by Cambridge University Press on behalf of The Mathematical Association

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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