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A091465
Smallest prime with digit product 6^n.
7
11, 23, 149, 389, 6389, 38669, 89899, 688999, 4998989, 46998899, 288989999, 2688989999, 8889899999, 68898899999, 1488988999999, 3888998899999, 128889898999999, 348889899899999, 1888888999999999, 16888888999999999
OFFSET
0,1
MATHEMATICA
NextPrim[n_] := Block[{k = n + 1}, While[ !PrimeQ[k], k++ ]; k]; a = Table[0, {10}]; p = 2; Do[ q = Log[6, Times @@ IntegerDigits[p]]; If[q != 0 && IntegerQ[q] && a[[q]] == 0, a[[q]] = p; Print[q, " = ", p]]; p = NextPrim[p], {n, 1, 10^9}]; a
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Robert G. Wilson v, Jan 12 2004
STATUS
approved