How about a solution with no J characters? It is curious that the number is 61. It's specific value attracts attention. What is peculiar about 61? Not far from 64 which half of 64 is 32. 32 is 2^5 has 2 as a factor 5 times. No other composite number from 1 to 61 has so many factors. 32 is next to a prime - 31. If the series went to 62 then 31 would not be available. So the solution is obvious without relying on solution by exhaustion.
On Dec 13, 2007 1:40 PM, R.E. Boss <[EMAIL PROTECTED]> wrote: > If X is a solution than almost all multiples of X are also a solution. > > > R.E. Boss > > > > -----Oorspronkelijk bericht----- > > Van: [EMAIL PROTECTED] [mailto:programming- > > [EMAIL PROTECTED] Namens Arie Groeneveld > > Verzonden: donderdag 13 december 2007 20:20 > > Aan: Programming forum > > Onderwerp: Re: [Jprogramming] 61 statements > > > > Randy MacDonald schreef: > > > Hello Arie; > > > > > > Offhand, I'd say there were an infinite number of solutions; the > > > puzzle is to find the smallest positive one.. > > Yes you're right, but I got very interested in the special > > properties of the two consecutive divisors. So I drifted away > > from solving puzzle, in which I succeeded BTW, but with a very > > long sentence :-[ > > > > At this moment my computer is running a laborious test in > > finding these divisors for n = 4 .. 8293. So I could confirm > > (or reject) my conjecture for at least these few n's. :-) > > > > Question: > > I'm not quite sure what you mean by > > 'an infinite number of solutions' > > On what conditions exactly? > > For every n (or interval of n's) there exists a certain X? > > > > > > > > Regards > > > > =@@i > > > > > > > > ---------------------------------------------------------------------- > > For information about J forums see http://www.jsoftware.com/forums.htm > > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm > > ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
