On the equation $\phi (n)=\phi (n+k)$
HTML articles powered by AMS MathViewer
- by M. Lal and P. Gillard PDF
- Math. Comp. 26 (1972), 579-583 Request permission
Abstract:
The number of solutions of the equation $(n) = (n + k)$, for $k \leqq 30$, at intervals of 10$^{4}$ to 10$^{5}$ are given. The values of $n$ for which $(n) = (n + k) = (n + 2k)$, and for which $\phi (n) = \phi (n + k) = \phi (n + 2k) = \phi (n + 3k)$, are also tabulated.References
-
L. Moser, An Introduction to the Theory of Numbers, Lecture Notes (Canadian Mathematical Congress, Summer Session, August 1957), Published by the University of Alberta, Edmonton, Alberta.
V. L. Klee, Jr., “Some remarks on Euler’s totient,” Amer. Math. Monthly, v. 54, 1947, p. 332. MR 9, 269.
- Leo Moser, Mathematical Notes: Some Equations Involving Euler’s Totient Function, Amer. Math. Monthly 56 (1949), no. 1, 22–23. MR 1527132, DOI 10.2307/2305815 M. Lal & P. Gillard, “Table of Euler’s phi function, $n \leqq {10^5}$,” Math. Comp., v. 23, 1969, p. 682.
- Paul Erdös, Some remarks on Euler’s $\phi$-function and some related problems, Bull. Amer. Math. Soc. 51 (1945), 540–544. MR 12634, DOI 10.1090/S0002-9904-1945-08390-6
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Math. Comp. 26 (1972), 579-583
- MSC: Primary 65Q05; Secondary 10A20
- DOI: https://doi.org/10.1090/S0025-5718-1972-0319391-6
- MathSciNet review: 0319391