Posts:
822
Registered:
9/1/10


Re: Prime Generalization Conjecture
Posted:
Feb 8, 2014 8:41 PM


On Saturday, June 20, 2009 8:01:35 AM UTC7, M.M Musatov wrote: > Oh I see you're not answering...(Revised) > > > > Musatov wrote: > > On Jun 20, 4:06 am, Musatov <marty.musa...@gmail.com> wrote: > > > On Jun 20, 12:13 am, William Elliot <ma...@rdrop.remove.com> wrote: > > > > > > > On Fri, 19 Jun 2009, MeAmI.org wrote: > > > > > RULE: EVERY PRIME number is exactly > > > > > 1/2 of some other number +1. > > > > > > > So what? For all x, x = (2x  2)/2 + 1. > > > > > > > Trivial rule. > > > > Every integer (rational number, real number, complex number) is half > > > > of some integer (resp. rational number, real number, complex number) > > > > plus one. > > > > > > > Exercise. How many primes are half of some prime plus one? > > None. Half of a prime number is not a whole number. (Except 2, in > which case the whole number is 1). > 17/2=8.5+1=9.5 (NP). > > So we have the result: > > RULE: No prime number greater than two is 1/2 another prime number > plus one. > > But perhaps this is what you meant. > > Inverse/Additive prime property per Musatov: (below) > > RULE: EVERY PRIME number greater than 2 is twice a number +1. > 3=1*2+1 > 5=2*2+1 > 7=3*2+1 > 11=5*2+1 > 13=6*2+1 > 17=8*2+1 > 19=9*2+1 > 23=11*2+1 > 29=14*2+1 > 31=15*2+1 > 37=18*2+1 > 41=20*2+1 > 43=21*2+1 > 47=23*2+1 > 51=25*2+1 > 53=26*2+1 > > And combined Prime Generalization: (Musatov) > > RULE: Every prime greater than two is 1/2 a number +1 and twice a > number +1. > > Now consider the series again, but this time plot the additive > difference between first and next doubled number. > > In the first two terms we write.... > 3=1*2+1 # > 5=2*2+1 1 because the difference between the doubled numbers from > first to the next was "1". > > And we continue.... > (here is the full table) > 3=1*2+1 # > 5=2*2+1 1 > 7=3*2+1 1 > 11=5*2+1 2 > 13=6*2+1 1 > 17=8*2+1 2 > 19=9*2+1 1 > 23=11*2+1 2 > 29=14*2+1 3 > 31=15*2+1 1 > 37=18*2+1 3 > 41=20*2+1 2 > 43=21*2+1 1 > 47=23*2+1 2 > 51=25*2+1 2 > 53=26*2+1 1 > > I would like to see if these reveals more to clarity to the set of > primes. > > How might it? w/ answer reduce zero values separate odd values into 1 and 7 even values into 2 and 8 > Ben Bacarisse wrote: > > Musatov <marty.musatov@gmail.com> writes: > > > On Jun 20, 12:13 am, William Elliot <ma...@rdrop.remove.com> wrote: > > <snip> > > >> Exercise. How many primes are half of some prime plus one? 0> > > > > > None. Half of a prime number is not a whole number. > > > > Except for 2. 2 is not half of a prime but 2 is a prime plus 1 is 3 a prime> > > > > So we have the result: > > > > > > RULE: No prime number is 1/2 another prime number plus one. (Except for ) > > > > Just one prime number is exactly one plus 1/2 another prime number. > > Oh yeah, which one? 2> > > > Copout per Ben.: Wording changed to avoid the ambiguity between p/2 + 1 and (p + 1)/2.) > ++ > Martin abba

