
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 UTC5, Archimedes Plutonium wrote: > On Saturday, April 16, 2016 at 8:36:34 PM UTC5, 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.)

