A109548 Primes of the form aaaa...aa1 where a is 1, 2, 3, 4 or 5.

11, 31, 41, 331, 2221, 3331, 4441, 33331, 333331, 3333331, 33333331, 44444444441, 555555555551, 5555555555551, 222222222222222221, 333333333333333331, 1111111111111111111, 11111111111111111111111

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..38

Formula

d=1, 2, 3, 4, 5 a(n) = if prime then Sum[d*10^i, {i, 1, m}] + 1

Mathematica

d[n_] = Mod[n, 6] a = Flatten[Table[Sum[d[k]*10^i, {i, 1, m}] + 1, {m, 1, 50}, {k, 1, 5}]] b = Flatten[Table[If[PrimeQ[a[[i]]] == True, a[[i]], {}], {i, 1, Length[a]}]]
Select[FromDigits/@Flatten[Table[PadLeft[{1}, i, #]&/@{1, 2, 3, 4, 5}, {i, 2, 80}], 1], PrimeQ[#]&] (* Vincenzo Librandi, Dec 12 2011 *)

Crossrefs

Cf. A051200, A004022, A093176, A093177, A089346, A093174, A092571, A089345, A089347.

Sequence in context: A040971 A138656 A144234 * A173767 A347815 A142343

Adjacent sequences: A109545 A109546 A109547 * A109549 A109550 A109551

Keyword

nonn

Author

Roger L. Bagula, Jun 26 2005

Status

approved