You are right. And so am I. We describe different sets of solutions. My statement in your notation: iS X ==> iS k * X , iff 1 = k +. 62
R.E. Boss > -----Oorspronkelijk bericht----- > Van: [EMAIL PROTECTED] [mailto:programming- > [EMAIL PROTECTED] Namens Randy MacDonald > Verzonden: vrijdag 14 december 2007 19:21 > Aan: Programming forum > Onderwerp: Re: [Jprogramming] 61 statements > > Hello R.E.; > > My thought was that iS X ==> iS X + k * !61 NB. where 'iS x' means 'x > is a solution.' > > > > R.E. Boss 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 > > > > > > -- > ------------------------------------------------------------------------ > |\/| Randy A MacDonald | APL: If you can say it, it's done.. (ram) > |/\| ramacd <at> nbnet.nb.ca | > |\ | | The only real problem with APL is that > BSc(Math) UNBF'83 | it is "still ahead of its time." > Sapere Aude | - Morten Kromberg > Natural Born APL'er | > -----------------------------------------------------(INTP)----{ gnat }- > > > > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
