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

Offset: 1

Author

Giovanni Resta, Feb 13 2006

Keywords

• nonn
• base

Comments

A run of length 1 is trivial.

Examples

			p(4259192969)=103577289271 and
4259192969*103577289271=441155662211122335599.
		

Crossrefs

Cf. A033023, A116058, A116059.

Programs

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 *)