The KY-Conjectory
 

See the thread Wagstaff Conjecture in Puzzles or Math,
I'm not sure which.

-- davar55

The crux of the YJ or YJ-Eb Conjecture is contained in the meaning of

lim(n->infinity) (M sub n) to-the (1 over n) = 3/2 = 1.500000 exactly.

See the whole conjecture under Wagstaff Conjecture in Math.

This YJ-Conjecture was first presented here, in the Mersenne Forum,
by davar55 in 2006.

It was, I think, post #11 in a thread about our discovering M41.

Interesting that we're currently nearly proving the primality of
the first 41 Mersenne Primes.

If anyone in this forum is interested in math
and has any questions here, I'd be glad to try
to answer them.

Pardon me, but how is this relevant to Conjectures 'R Us? I have seen some of the chatter about this conjecture in other parts of the forum and it seems to relate to Mersenne primes, not the generalized Sierpinski/Riesel conjectures and related k*b^n+-c primes that are discussed here. Perhaps you posted in the wrong forum?

Edit: Ah, I think I see where you may have been confused. Conjectures 'R Us is not intended as a place for posting of conjectures of all kinds; rather, it's a distributed project attempting to prove the generalized Sierpinski/Riesel conjectures.

[QUOTE=mdettweiler;248516]Pardon me, but how is this relevant to Conjectures 'R Us? I have seen some of the chatter about this conjecture in other parts of the forum and it seems to relate to Mersenne primes, not the generalized Sierpinski/Riesel conjectures and related k*b^n+-c primes that are discussed here. Perhaps you posted in the wrong forum?

Edit: Ah, I think I see where you may have been confused. Conjectures 'R Us is not intended as a place for posting of conjectures of all kinds; rather, it's a distributed project attempting to prove the generalized Sierpinski/Riesel conjectures.[/QUOTE]

This YJ-Conjecture is in the Conjectures R Us sub-forum of
the Prime Search Projects sub-forum of MersenneForum Dot Org.

I suppose this thread might reasonably be moved to Math.

I have no objections.

[QUOTE=davar55;248624]This YJ-Conjecture is in the Conjectures R Us sub-forum of
the Prime Search Projects sub-forum of MersenneForum Dot Org.

I suppose this thread might reasonably be moved to Math.

I have no objections.[/QUOTE]
Okay, thanks--I've moved the thread to Math.

[QUOTE=mdettweiler;248626]Okay, thanks--I've moved the thread to Math.[/QUOTE]

Sure, no problem. That's where it belongs anyway.

I question that. I've taken the logical next step and moved it to Misc. Math.

[QUOTE=davar55;248386]The crux of the YJ or YJ-Eb Conjecture is contained in the meaning of

lim(n->infinity) (M sub n) to-the (1 over n) = 3/2 = 1.500000 exactly.

See the whole conjecture under Wagstaff Conjecture in Math.[/QUOTE]

how I interpret this is :

[CODE](09:53)>v=vector(10,n,if(n>1,2*v[n-1]+1,1))
%13 = [1, 3, 7, 15, 31, 63, 127, 255, 511, 1023]
(09:53)>for(n=1,#v,v[n]=v[n]^1/n)
(09:53)>v
%14 = [1, 3/2, 7/3, 15/4, 31/5, 21/2, 127/7, 255/8, 511/9, 1023/10]
(09:53)>for(n=1,#v,v[n]=v[n]-3/2)
(09:53)>v
%15 = [-1/2, 0, 5/6, 9/4, 47/10, 9, 233/14, 243/8, 995/18, 504/5][/CODE]

as you can see in the last v not all conform to v[n]<3/2, which blows the statement you supposedly lay your whole conjecture on to high heaven.even placing parentheses correctly I still get it false for both mersenne numbers and mersenne primes.

[QUOTE=davar55;248413]
It was, I think, post #11 in a thread about our discovering M41.[/QUOTE]

I've tried one part I've never seen anywhere but that post and this is what I got:

[CODE](10:48)>v=[1, 3, 7, 15, 31, 63, 127, 255, 511, 1023, 2047]
%33 = [1, 3, 7, 15, 31, 63, 127, 255, 511, 1023, 2047]
(10:49)>for(i=1,#v,v[i]=v[i]/(3/2)^i)
(10:49)>v
%34 = [2/3, 4/3, 56/27, 80/27, 992/243, 448/81, 16256/2187, 21760/2187, 261632/19683, 349184/19683, 4192256/177147][/CODE]

how this helps I have no idea but I have a pattern in the fractions namely they are of the form 2x/3^y. what else are you saying about these ?