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 2020-01-08, 17:22 #23 robert44444uk     Jun 2003 Oxford, UK 35238 Posts Now at 1.4e14 and still no 52048. The next low numbers are 52102, 53836. The largest gaps are Code: 162830 55341128536691 170635 135444915341621 195044 92944027480721
2020-01-09, 12:52   #24
Thomas11

Feb 2003

35618 Posts

Quote:
 Originally Posted by robert44444uk The largest gaps are Code: 162830 55341128536691 170635 135444915341621 195044 92944027480721
Note that the Perl scripts for manipulating the gap results use a "hard coded" upper limit of 200000 for the gap length. So you'll need to adjust this, once you find even larger gaps.

2020-01-10, 08:47   #25
robert44444uk

Jun 2003
Oxford, UK

187510 Posts

Quote:
 Originally Posted by robert44444uk Now at 1.4e14 and still no 52048. The next low numbers are 52102, 53836.
No change at 2e14. All of the low unfound values are still there. Biggest gaps so far:

Code:
162830 55341128536691
163212 172271073415871
164543 142566888001841
169106 196472319482471
170635 135444915341621
175448 165701382062261
177027 179264456865881
180082 175934192636591
195044 92944027480721
Onwards and upwards!

 2020-01-10, 22:18 #26 pinhodecarlos     "Carlos Pinho" Oct 2011 Milton Keynes, UK 32·5·103 Posts Running from 5e14 to 8e14.
2020-01-11, 07:48   #27
pinhodecarlos

"Carlos Pinho"
Oct 2011
Milton Keynes, UK

32·5·103 Posts

Quote:
 Originally Posted by pinhodecarlos Running from 5e14 to 8e14.

Meant 5e14 to 9e14.

 2020-01-11, 18:11 #28 rudy235     Jun 2015 Vallejo, CA/. 7×137 Posts Perhaps we should try to define a column of "merit" for the gaps between Quadruplet Primes. According to Hardy-Littlewood, we would expect a density of Quadruplets consistent with this Formula: =4.151180864…∫2𝑁𝑑𝑥′/(log𝑥′)4 (Integral Logarirthm from 2 to x)
 2020-01-11, 20:54 #29 Bobby Jacobs     May 2018 33·7 Posts I find it interesting that a lot of the first instances of the small gaps are just over 1000000. Out of 11 possible gaps from 1 to 15, there are 5 gaps that have the first occurrence between 1000000 and 1200000.
2020-01-11, 21:28   #30
rudy235

Jun 2015
Vallejo, CA/.

7×137 Posts

Quote:
 Originally Posted by Bobby Jacobs I find it interesting that a lot of the first instances of the small gaps are just over 1000000. Out of 11 possible gaps from 1 to 15, there are 5 gaps that have the first occurrence between 1000000 and 1200000.
Actually 6 exceed 1,000,000 {1,4,6,10,14,15} but between 1 e6 and 1.2 e6 there are only 5

Last fiddled with by rudy235 on 2020-01-11 at 21:48

 2020-01-12, 01:15 #31 rudy235     Jun 2015 Vallejo, CA/. 7·137 Posts Actually 6 exceed 1,000,000 {1,4,6,10,14,15} but between 1 e6 and 1.2 e6 there are only 4
 2020-01-12, 07:42 #32 pinhodecarlos     "Carlos Pinho" Oct 2011 Milton Keynes, UK 110338 Posts Robert, can you please post by eob tomorrow your gaplist.txt file. This will allow me to run the script update on your latest file.
2020-01-12, 08:49   #33
robert44444uk

Jun 2003
Oxford, UK

187510 Posts

Quote:
 Originally Posted by pinhodecarlos Robert, can you please post by eob tomorrow your gaplist.txt file. This will allow me to run the script update on your latest file.
There's not a lot of point until I reach 5e14, otherwise we will not be recording first instance gaps.

I reached 3e14 this morning, so I expect to get to 5e14 sometime on Tuesday, and I'll post then.

In the meanwhile, at 3e14, the smallest non-recorded gap is still 52048, and the next few also the same, 52102, 53836.

Largest gaps are now

Code:
180082 175934192636591
180083 246762443994551
180267 228767376933281
181948 228186907139291
188433 284010274084541
195044 92944027480721

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