Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-09T13:50:27.638Z Has data issue: false hasContentIssue false

Four Fours. Some Arithmetical Puzzles

Published online by Cambridge University Press:  03 November 2016

Extract

An arithmetical amusement, said to have been first propounded in 1881, is the expression in the ordinary arithmetic and algebraic notation of the consecutive integers from 1 upwards, as far as practicable, by the use of four “4”s. I have mentioned the problem in my Mathematical Recreations, but my friend Mr. Oscar Eckenstein has now carried the solutions considerably further. I think a bare statement of our procedure may be of interest, and perhaps some readers of the Gazette may amuse themselves by filling in the details of the analysis or applying similar methods to higher numbers.

Type
4. Miscellany
Copyright
Copyright © Mathematical Association 1971

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

* Subfactorial n is written and is equal to