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Re: [PrimeNumbers] Some data to back up my Perry/Ulam EBOLA

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  • Phil Carmody
    ... I defer instantly to your code. My code was so set up for the original problem that _anything_ could have come out of the tweaks that I made. ... The above
    Message 1 of 9 , Jan 5, 2003
      --- mikeoakes2@... wrote:
      > > Everything else I tried (including the one above) looked like it was doomed
      > > to crash, the >50% in the 0 column is really ominous.
      >
      > Phil: I don't agree. Just program my above definition (starting as always
      > with 3,5) and (unless I've made a boo-boo) you get the following:-

      I defer instantly to your code. My code was so set up for the original
      problem that _anything_ could have come out of the tweaks that I made.

      > Perry[3]=11[25.000000% 0s,75.000000% in,0.000000% >=2s] [00:00] 4
      > Perry[4]=13[20.000000% 0s,80.000000% in,0.000000% >=2s] [00:00] 5
      > Perry[5]=17[16.666667% 0s,83.333333% in,0.000000% >=2s] [00:00] 6
      > Perry[6]=19[14.285714% 0s,85.714286% in,0.000000% >=2s] [00:00] 7
      > Perry[7]=31[10.000000% 0s,70.000000% in,20.000000% >=2s] [00:00] 10
      > Perry[8]=47[7.142857% 0s,57.142857% in,35.714286% >=2s] [00:00] 14
      > Perry[9]=67[16.666667% 0s,50.000000% in,33.333333% >=2s] [00:00] 18
      > Perry[10]=79[19.047619% 0s,47.619048% in,33.333333% >=2s] [00:00] 21
      > ...
      > Perry[1848]=100183[14.535610% 0s,19.241983% in,66.222407% >=2s] [00:00] 9604
      > Perry[3489]=200003[15.586077% 0s,19.400578% in,65.013345% >=2s] [00:01] 17984
      > Perry[5017]=300151[16.272542% 0s,19.290960% in,64.436498% >=2s] [00:01] 26007
      > Perry[6460]=400087[16.857615% 0s,19.075179% in,64.067206% >=2s] [00:02] 33866
      > Perry[7884]=500299[17.311486% 0s,18.969251% in,63.719263% >=2s] [00:03] 41562
      > ...
      > Perry[425962]=40000003[24.902554% 0s,17.502981% in,57.594465% >=2s]
      > [03:44:23] 2433654
      > Perry[614381]=60000067[25.582911% 0s,17.247622% in,57.169466% >=2s]
      > [08:02:08] 3562120
      >
      > So, still > 17.2% of primes are in the set, and it looks like going on quite
      > happily to oo.
      >
      > Doesn't make much of a case for an asymptotic behaviour like X/log(X)^2,
      > though...

      The above is heading down still though, so I'd rather put my money on the
      original which, even though it was lower, was pointing upwards!

      Wait a second. Shanks. Can someone run a Shanks predictor over these data?
      Maybe that will say where they're pointing?

      Phil


      =====
      The answer to life's mystery is simple and direct:
      Sex and death. -- Ian 'Lemmy' Kilminster

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