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Semimorphic numbers: n^2 mod the number of digits in n = n^3 mod the number of digits in n.
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%I #4 Mar 30 2012 17:30:25

%S 1,5,6,10,20,25,26,30,40,45,50,60,65,70,76,80,85,90,100,200,225,300,

%T 376,400,425,500,600,625,700,800,825,876,900,1000,1025,1100,1200,1300,

%U 1400,1425,1500,1600,1700,1800,1825,1876,1900,2000,2100,2200,2225,2300

%N Semimorphic numbers: n^2 mod the number of digits in n = n^3 mod the number of digits in n.

%t Do[l = Floor[N[Log[10, n], 24]] + 1; If[Mod[n^2, 10^l] == Mod[n^3, 10^l], Print[n]], {n, 1, 5000}]

%Y Cf. A003226.

%K easy,nonn,base

%O 1,2

%A _Robert G. Wilson v_, Jul 25 2000