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Problem 1003 — Erdős Problems

Problem 1003

Are there infinitely many solutions to $\phi(n)=\phi(n+1)$ , where $\phi$ is the Euler totient function?

Source: erdosproblems.com/1003

Number theory

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EPS87: Erdős, Paul and Pomerance, Carl and Sárközy, András, On locally repeated values of certain arithmetic functions. III. Proc. Amer. Math. Soc. (1987), 1-7.
Er85e: Erdős, P., Some problems and results in number theory. Number theory and combinatorics. Japan 1984 (Tokyo, Okayama and Kyoto, 1984) (1985), 65-87.

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