Prime Gap News - Page 24

ATH · 2021-06-04, 20:25

Quote:

Originally Posted by mart_r

The other gap finally got empocketed this morning.
4397298 19.6406 224423#/107371994730-2375864

Gap verified. Endpoints:

Code:

224423#/107371994730-2375864+0 is Lucas PRP! (573.4657s+0.0420s)
224423#/107371994730-2375864+0 is 31-PRP! (158.3670s+0.0416s)
224423#/107371994730-2375864+0 is 61-PRP! (153.6002s+0.0383s)
224423#/107371994730-2375864+0 is 89-PRP! (151.6521s+0.0389s)
224423#/107371994730-2375864+0 is 107-PRP! (152.2096s+0.0395s)
224423#/107371994730-2375864+0 is 127-PRP! (152.4766s+0.0384s)

224423#/107371994730-2375864+4397298 is Lucas PRP! (588.1537s+0.0406s)
224423#/107371994730-2375864+4397298 is 31-PRP! (155.4292s+0.0398s)
224423#/107371994730-2375864+4397298 is 61-PRP! (152.4790s+0.0404s)
224423#/107371994730-2375864+4397298 is 89-PRP! (154.3925s+0.0398s)
224423#/107371994730-2375864+4397298 is 107-PRP! (152.6616s+0.0402s)
224423#/107371994730-2375864+4397298 is 127-PRP! (154.4092s+0.0402s)

2,168,869 factors and 29,779 composite PRP tests: primegap4397298.zip (Use 7-zip)

SethTro · 2021-06-04, 20:56

Quote:

Originally Posted by ATH

Gap verified.

Thank you ATH for verifying these! I manually entered them (always a little scary) and pushed to the GitHub repository just now (commit 3dfd00de)

I'll update the wiki site on next week

mart_r · 2021-06-06, 10:59

Many many thanks ATH!

My next gaps will be smaller in both number size and gap size.

SethTro · 2021-06-11, 08:55

Couple of updates

Craig did it again! They submitted the fifth largest gap by merit a 38.2 merit record! They now have the 3rd, 4th, and 5th largest merit records!

Martin added three Megagaps (gap > 1,000,000), thanks ATH for verifying these.

We continue to submit new records and improvements at a breakneck pace; 23,130 so far this year! This is more records than we have remaining from 2017 (the highest other year). The average merit of these records is ~22.1! (the median merit of all records is 19.48)

robert44444uk · 2021-06-19, 09:14

It will be interesting to see how these facts on prime gaps change over the next year:

As of the most recent list, the lowest gap size with no known prime pair is 113326.
The 10th smallest such gap is 124106
The 100th smallest such gap is 137966
The 1000th smallest such gap is 156288
The 10000th smallest such gap is 198692

I expect the 10000th will soon be over 200000

2021-06-11, 08:55	#257
SethTro "Seth" Apr 2019 100100011₂ Posts	Couple of updates Craig did it again! They submitted the fifth largest gap by merit a 38.2 merit record! They now have the 3rd, 4th, and 5th largest merit records! Martin added three Megagaps (gap > 1,000,000), thanks ATH for verifying these. We continue to submit new records and improvements at a breakneck pace; 23,130 so far this year! This is more records than we have remaining from 2017 (the highest other year). The average merit of these records is ~22.1! (the median merit of all records is 19.48) Last fiddled with by SethTro on 2021-06-11 at 08:55

2021-06-19, 09:14	#258
robert44444uk Jun 2003 Oxford, UK 793₁₆ Posts	It will be interesting to see how these facts on prime gaps change over the next year: As of the most recent list, the lowest gap size with no known prime pair is 113326. The 10th smallest such gap is 124106 The 100th smallest such gap is 137966 The 1000th smallest such gap is 156288 The 10000th smallest such gap is 198692 I expect the 10000th will soon be over 200000

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2021-06-06, 10:59	#256
mart_r Dec 2008 you know...around... 3×13×17 Posts	Many many thanks ATH! My next gaps will be smaller in both number size and gap size.