Let p>5 be a prime. Prove that p divides infinitely many numbers of the (base ten) form:
1, 11, 111, 1111, 11111, 111111, ...
Follow Math Help Forum on Facebook and Google+
Note , since i.e. .
and define .
Observe if , then .
But since .
Since is not a finite set, we are done.
Last edited by chiph588@; Feb 5th 2011 at 09:45 AM.
View Tag Cloud