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Mathematics of Computation

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On the equation $ \phi(n)=\phi(n+k)$

Authors: M. Lal and P. Gillard
Journal: Math. Comp. 26 (1972), 579-583
MSC: Primary 65Q05; Secondary 10A20
MathSciNet review: 0319391
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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.

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Keywords: Euler phi-function, diophantine equation
Article copyright: © Copyright 1972 American Mathematical Society