A096504 Euler-phi applied to A096503 results in these decimal repdigits.
1, 1, 2, 2, 4, 2, 6, 4, 6, 4, 4, 6, 8, 8, 6, 8, 22, 8, 8, 22, 66, 44, 88, 44, 88, 66, 44, 88, 88, 222, 88, 88, 222, 444, 444, 888, 888, 444, 888, 888, 888, 888, 888, 888, 444444, 666666, 444444, 888888, 888888, 666666, 888888, 888888, 888888, 888888, 888888
Offset: 1
Examples
a(60) = A000010(A096503(60)) = A000010(88888892) = 44444444. Regular solutions: if p = repdigit + 1 is prime, then phi(p) = repdigit.
Links
- Amiram Eldar, Table of n, a(n) for n = 1..182 (calculated using the b-file at A096503)
Programs
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PARI
lista(nn) = {for (n= 1, nn, phin = eulerphi(n); d = digits(e=eulerphi(n)); if (vecmin(d) == vecmax(d), print1(e, ", ")););} \\ Michel Marcus, Sep 07 2014