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 A073637 Digital root (cf. A010888) of prime(n)^3. 0
 8, 9, 8, 1, 8, 1, 8, 1, 8, 8, 1, 1, 8, 1, 8, 8, 8, 1, 1, 8, 1, 1, 8, 8, 1, 8, 1, 8, 1, 8, 1, 8, 8, 1, 8, 1, 1, 1, 8, 8, 8, 1, 8, 1, 8, 1, 1, 1, 8, 1, 8, 8, 1, 8, 8, 8, 8, 1, 1, 8, 1, 8, 1, 8, 1, 8, 1, 1, 8, 1, 8, 8, 1, 1, 1, 8, 8, 1, 8, 1, 8, 1, 8, 1, 1, 8, 8, 1, 8, 1, 8, 8, 1, 8, 1, 8, 8, 8, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Apart from a(2)=9 all other terms are either 1 or 8. LINKS EXAMPLE a(3)=8 because p(3)=5 and 5^3=125 -> sum-of-digits = 8. a(4)=1 because p(3)=7 and 7^3=343 -> sum-of-digits = 10 -> sum-of-digits = 1. MATHEMATICA n=3; su[x_] := Sum[IntegerDigits[x][[i]], {i, Length[IntegerDigits[x]]}]; Table[su[su[su[su[Prime[x]^n]]]], {x, 100}] Table[If[(m9=Mod[Prime[n]^3, 9])==0, 9, m9], {n, 200}] CROSSREFS Cf. A010888, A021596, A056992, A010888, A038194, A166923. Sequence in context: A195341 A205185 A011463 * A153202 A019738 A236098 Adjacent sequences:  A073634 A073635 A073636 * A073638 A073639 A073640 KEYWORD nonn,base AUTHOR Zak Seidov, Sep 01 2002, Oct 23 2009 EXTENSIONS Edited by N. J. A. Sloane, Oct 29 2009 STATUS approved

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Last modified March 25 21:57 EDT 2019. Contains 321477 sequences. (Running on oeis4.)