Loading [MathJax]/jax/output/SVG/jax.js
 

MaxWong

avatar
Nom d'utilisateurMaxWong
But9676
Membership
Stats
Questions 169
Réponses 3812

0
1555
3
avatar+9676 
MaxWong  13 janv. 2019
 #1
avatar+9676 
0

Denote rn the nth repunit.

S=100n=1rn=100n=1n1k=010k=110100n=1nk=110k=1101kn10010k=110100k=1100n=k10k=110100k=1(10k(101k))=110(101(10(101001)101)100k=1k10k)Let SAG=100k=1k10kS=1019(101001)110SAGSAG=1101+2102++10010100(1)110SAG=1+2101++1001099(2)(1)(2):910SAG=10010100(1+101+102++1099)=101021010019SAG=101039101011081S=1019(101001)(10102910100181)=1010091019+10100181=1010019+1010090181

.
1 nov. 2019