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EXAMPLE
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n=2: -1+2^(1092.1094)=K.1093.1093=K.1194649;
n=4k+1: a[4k+1]=4; for a[k]=9 see A090097;a[k]=25 see A090098.
some large values:
a(12)=2693.2693;a(20)=78961; a(52)=219521;a(56)=418609=647^2;
a(58)=17161;a(84)=26569;a(104)=97969; a(119)=3031081;
Stiff bases below 100 are: 6,15,34,36,39,47,59,66,72,83,86,87,88,90,92,95
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MATHEMATICA
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t=list-of-true-p-powers-generated-independently lf[x_] := Length[FactorInteger[x]] base=6; Do[s=Mod[ -1+base^(Part[t, n]-1), Part[t, n]]; If[Equal[s, 0], Print[Part[t, n]]], {n, 1, Length[t]}]
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