Voozh

A116060

Numbers made of nontrivial runs of identical digits obtained multiplying a number m by the m-th prime.

55, 444, 4411445566, 1122777666688, 4466224466600, 44488668881177, 660000556677333, 9995566666633377799, 11155533666655666655, 441155662211122335599, 1144115588776688333355, 4488667700668887770033

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

A run of length 1 is trivial.

LINKS

Table of n, a(n) for n=1..12.

EXAMPLE

p(4259192969)=103577289271 and

4259192969*103577289271=441155662211122335599.

MATHEMATICA

Select[Table[m*Prime[m], {m, 10^6}], Min[Length/@Split[IntegerDigits[#]]]>1&] (* The program generates the first 5 terms of the sequence. *) (* Harvey P. Dale, Jun 05 2024 *)

CROSSREFS

Cf. A033023, A116058, A116059.

Sequence in context: A340240 A355511 A129217 * A145054 A166839 A166827

Adjacent sequences: A116057 A116058 A116059 * A116061 A116062 A116063

KEYWORD

nonn,base

AUTHOR

Giovanni Resta, Feb 13 2006

STATUS

approved

URL: https://oeis.org/A116060

⇱ A116060 - OEIS