
Number Theory Number Theory Math Forum 
 LinkBack  Thread Tools  Display Modes 
December 30th, 2014, 04:18 PM  #1 
Senior Member Joined: Dec 2006 Posts: 167 Thanks: 3  Is there infinite many k such that (k+1)  10^k1 ?
Suppose $k,\,d\in\mathbb{N}^+$. Prove or disprove: Set $\{k : (k+1 \mid 10^k 1)\wedge \big(((0 < d< k)\wedge (d \mid k))\implies (k+1\nmid 10^d 1)\big)\}$ is not finite. 

Tags 
10k1, infinite 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Relation between an infinite product and an infinite sum.  Agno  Number Theory  0  March 8th, 2014 04:25 AM 
Infinite set contains an infinite number of subsets  durky  Abstract Algebra  1  March 15th, 2012 11:28 AM 
infinite set in R  burak100  Real Analysis  1  September 20th, 2011 10:32 PM 
Infinite sum  Farcheeza  Calculus  1  March 12th, 2010 06:30 PM 
[G:H1] is infinite  payman_pm  Abstract Algebra  1  March 28th, 2007 06:26 PM 