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A037069 Smallest prime containing exactly n 8's. +0
12
83, 881, 8887, 88883, 888887, 28888883, 88888883, 888888883, 48888888883, 288888888889, 888888888887, 48888888888883, 88888888888889, 888888888888883, 18888888888888883, 88888888888888889 (list; graph; listen)
OFFSET

1,1

MATHEMATICA

f[n_, b_] := Block[{k = 10^(n + 1), p = Permutations[ Join[ Table[b, {i, 1, n}], {x}]], c = Complement[Table[j, {j, 0, 9}], {b}], q = {}}, Do[q = Append[q, Replace[p, x -> c[[i]], 2]], {i, 1, 9}]; r = Min[ Select[ FromDigits /@ Flatten[q, 1], PrimeQ[ # ] & ]]; If[r ? Infinity, r, p = Permutations[ Join[ Table[ b, {i, 1, n}], {x, y}]]; q = {}; Do[q = Append[q, Replace[p, {x -> c[[i]], y -> c[[j]]}, 2]], {i, 1, 9}, {j, 1, 9}]; Min[ Select[ FromDigits /@ Flatten[q, 1], PrimeQ[ # ] & ]]]]; Table[ f[n, 8], {n, 1, 18}]

CROSSREFS

Cf. A065591, A037068, A034388, A036507-A036536.

Cf. A037053, A037055, A037057, A037059, A037061, A037063, A037065, A037067, A037071.

Sequence in context: A112766 A128950 A068851 this_sequence A103233 A093283 A156924

Adjacent sequences: A037066 A037067 A037068 this_sequence A037070 A037071 A037072

KEYWORD

nonn,base,easy

AUTHOR

Patrick De Geest (pdg(AT)worldofnumbers.com), Jan 04 1999.

EXTENSIONS

Corrected by Jud McCranie (j.mccranie(AT)comcast.net), Jan 04 2001. More terms from Erich Friedman (efriedma(AT)stetson.edu), Jun 03 2001.

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


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