1,1

Except for the initial term, A037055 is conjectured to be identical to A084673. - Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 04 2003

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, 1], {n, 1, 18}]

Cf. A084673, A065584, A065821, A037054, A034388, A036507-A036536.

Cf. A037053, A037057, A037059, A037061, A037063, A037065, A037067, A037069, A037071.

Sequence in context: A083229 A140554 A002591 this_sequence A022969 A023455 A055124

Adjacent sequences: A037052 A037053 A037054 this_sequence A037056 A037057 A037058

nonn,base

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

More terms from Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Feb 10 2003

Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 04 2003