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Topic: the Goldbach clarity proof using even numbered Arrays where we have
addition, multiplication, & perfect-squares; Legendre proof

Replies: 24   Last Post: Apr 17, 2016 12:19 PM

 Messages: [ Previous | Next ]
 Don Redmond Posts: 117 Registered: 5/5/11
Re: "what a proof is" in New Math-- only need go out to the
borderline of infinity Re: AP's 3,5,7 Staircase Conjecture Re: the Goldbach
clarity proof

Posted: Apr 17, 2016 12:19 PM

On Saturday, April 16, 2016 at 11:50:17 PM UTC-5, Archimedes Plutonium wrote:
> On Saturday, April 16, 2016 at 8:36:34 PM UTC-5, Archimedes Plutonium wrote:
> > Alright, the Staircase conjecture is still a go ahead, after I figure out the "range of the staircase primes". The range for even numbers from 6 to 120 was 3,5,7. The range from 6 to to about 1000 was 3,5,7,11,13,17,19 and the range out to about 4000 was 3,5,7,11,13,17,19,23,29,31,37,41,43.
> >
> > So what is the range for 1*10^603 ? It would be far far past primes of just four digits but rather, primes of 302 digits.
> >
> > And what would a Legendre prime look like out here in 10^603 territory?
> >

>
> Sorry to waver on this, and let me backtrack for I think the range involves Ln(x) so that for 1000 we need about 7 primes 3,5,7,11,13,17,19. For 10^603 we need about 1388 primes, and what primes are these? The 1,000th is 7919.
>
> So now, I want the even numbers nearby 1*10^603 and I first want -10182 and that prime is 4561. Now I want -10184 and that simply is prime 3 then -10186 is prime 5 the ending 8 is prime 7, the ending 10 and I have to find a new prime.
>

> > Fifty primes above and below 10^603
> >
> > In[1]:= <<NumberTheory`NumberTheoryFunctions`
> >
> > In[2]:= i=10^603;Reap[d=0;Do[Sow[d=NextPrime[i+d]-i],{50}]][[2,1]]
> >
> > Out[2]= {103,1393,1491,2259,3561,3931,5067,6939,7027,7293,14371,14551,15843,15981,\
> > 16497,18307,20341,20403,20883,21067,21219,22323,25693,28033,29853,37197,40039,\
> > 41113,45219,46449,46473,48769,50559,51751,53077,54411,54687,55803,57351,57397,\
> > 62083,64327,64467,64473,65097,66009,68917,69621,71067,74611}
> >
> > In[3]:= i=10^603;Reap[d=0;Do[Sow[d=PreviousPrime[i+d]-i],{50}]][[2,1]]
> >
> > Out[3]= {-827,-1479,-1667,-5621,-10181,-13743,-14207,-14927,-16761,-17057,-17297,-\
> > 21171,-21983,-22107,-23933,-24071,-24399,-27911,-29349,-29663,-29807,-31761,-\
> > 33183,-34433,-35043,-36467,-36921,-41129,-42941,-44357,-46317,-46497,-47087,-\
> > 47633,-47693,-50219,-51161,-51693,-51723,-51741,-53211,-54113,-54201,-55799,-\
> > 56177,-57809,-58493,-59139,-60699,-61503}
> >

>
> AP

What's this obsession you have with big numbers?

Don

(This time I am mocking you. Just because I ask for clarification opr point out what I see as a problem doesn't mean I am mocking you.)