login
Smallest n-digit number m such that phi(m) is minimal.
2

%I #11 Feb 14 2018 22:48:37

%S 1,10,102,1050,10080,101010,1021020,10210200,100150050,1009788780,

%T 10039179150,100614884370,1002802450650,10028024506500,

%U 100093293239940,1003203571630260,10040258696397930,100098336700452090,1004819888620217670,10034477941390913010,100227034561924099830,1004115014967006472530,10014709889018759594670

%N Smallest n-digit number m such that phi(m) is minimal.

%C For all n, A147551(n) = phi(a(n)).

%H Max Alekseyev, <a href="/A147550/b147550.txt">Table of n, a(n) for n = 1..31</a>

%e phi(10)=4 and there is no 2-digit number t such that phi(t)<4 so a(2)=10.

%e phi(102)=32 and there is no 3-digit number t such that phi(t)<32 also phi(100) and phi(101) are greater than 32, so a(3)=102.

%Y Cf. A147551.

%K base,nonn

%O 1,2

%A _Farideh Firoozbakht_, Nov 22 2008

%E a(11)-a(31) from _Max Alekseyev_, Feb 02 2012, Feb 14 2018