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Prime factors and recurring duodecimals

Published online by Cambridge University Press:  22 September 2016

Cedric A. B. Smith*
Affiliation:
The Galton Laboratory, University College, London NW1 2HE

Extract

In 1951 received a letter from Prof. H. Davenport, F.R.S., with some information about the factors of 12n ± 1. The results he gave were interesting and not obvious; whether they were novel I do not know. It occurs to me (whether strictly novel or not) they might well be worth publishing, as of general interest and as a tribute to a great and kindly man. However, since Prof. Davenport’s letter was not intended for publication as written, I paraphrase it here with explanation of the background.

Type
Research Article
Copyright
Copyright © Mathematical Association 1975

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References

1. Davenport, H., The higher arithmetic. Hutchinson (1952).Google Scholar
2. Johnston, J. Halcro, Two-way arithmetic, Mathematics in School 1 (6), 1012 (September 1972).Google Scholar
3. Smith, Cedric A. B., Programming the human computer (Part 2), Mathematics in School 2 (2), 2021 (March 1973).Google Scholar