Erdős Problem #411 — Let g1=g(n)=n+ϕ(n)g_1=g(n)=n+\phi(n) and gk(n)=g(gk−1(n))g_k(n)=g(g_{k-1}(n)). For which nn and rr is it true that gk+r(n)=2gk(n)g_{k+r}(n)=2g_k(n) for all large kk?

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Let g1=g(n)=n+ϕ(n)g_1=g(n)=n+\phi(n) and gk(n)=g(gk−1(n))g_k(n)=g(g_{k-1}(n)). For which nn and rr is it true that gk+r(n)=2gk(n)g_{k+r}(n)=2g_k(n) for all large kk?

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