well, if you read my first post, i wrote a program that confirms the conjecture is true for size of S <= 20000. The related putnam problem is unfortunately gone, as it's one of those problem of the day thing that I found on the web days ago.
On Sunday, June 23, 2013 6:07:16 PM UTC-7, quasi wrote: > japonishi wrote: > > > > >conjecture of mine. related but different from a > > >past putnam problem. > > > > I doubt that your conjecture is true. > > > > I suspect N can be arbitrarily large. > > > > Aside from the difficulty of finding examples with N > 5, why > > do you think there should even be a maximum value of N? > > > > Also, what is the year and problem number of the related Putnam > > problem? > > > > quasi