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Forum: Prime Gap Searches 2021-09-09, 17:49
Replies: 34
Views: 2,890
Posted By robert44444uk
I made the migration to Linux under Windows 10...

I made the migration to Linux under Windows 10 operating system using Ubuntu 20.04 LTS. I don't really understand what I'm doing, but with help from others I can now run Linux codes.
Forum: Prime Gap Searches 2021-08-28, 12:00
Replies: 63
Views: 7,237
Posted By robert44444uk
In Perl, the function znorder is quite quick. Up...

In Perl, the function znorder is quite quick. Up to 2^31 the following Perl program was run on my standard desktop in 304.5 seconds, suggesting about 12 minutes for 2^31.5.



#!/usr/bin/env...
Forum: Prime Gap Searches 2021-08-16, 11:53
Replies: 13
Views: 1,912
Posted By robert44444uk
Some CPAP 4 results to 1e14, first instance gaps...

Some CPAP 4 results to 1e14, first instance gaps (which are multiples of 6) I found found are as follows:


144 2988385487729 2988385487873 2988385488017 2988385488161...
Forum: Prime Gap Searches 2021-08-14, 07:53
Replies: 13
Views: 1,912
Posted By robert44444uk
I completed the CPAP 3s up to 1e15, where I will...

I completed the CPAP 3s up to 1e15, where I will stop. There were no further first instance examples to report. The largest examples in the range 87e13 to 100e13 were a pair of 378s.

I'm looking...
Forum: Prime Gap Searches 2021-08-09, 17:13
Replies: 13
Views: 1,912
Posted By robert44444uk
I'm up to 8.3e14 and taking this through to 1e15....

I'm up to 8.3e14 and taking this through to 1e15. 420 was repeated in the range just checked, but with no other 400's

New first gaps:


700926505323491 700926505323857 700926505324223 366...
Forum: Prime Gap Searches 2021-08-08, 14:07
Replies: 13
Views: 1,912
Posted By robert44444uk
Here is a table of first prime gaps and first...

Here is a table of first prime gaps and first repeating prime gaps. I would agree with rudy235 on this, although it is not impossible that another example exists, just exceedingly unlikely. But look...
Forum: Prime Gap Searches 2021-08-06, 17:15
Replies: 261
Sticky: Prime Gap News
Views: 65,435
Posted By robert44444uk
Continuing my good fortune - here is the lower...

Continuing my good fortune - here is the lower prime of the largest merit 30 gap found to date

313842 31.886 343921*9923#/46410-205340

This narrowly beats out Hans Rosenthal's 2015 find:
...
Forum: Prime Gap Searches 2021-08-06, 14:30
Replies: 13
Views: 1,912
Posted By robert44444uk
4.1e14 to 5.5e14 checked, with no further first...

4.1e14 to 5.5e14 checked, with no further first instance double gaps. In fact the largest in this range was only 360.

I'm doing 5.5e14 to 6.9e14 now.
Forum: Prime Gap Searches 2021-08-04, 14:24
Replies: 133
Views: 31,020
Posted By robert44444uk
Danaj's surround_primes code also allows for a...

Danaj's surround_primes code also allows for a limited range to be checked (delta). As deficient primorials have very few prime candidates within 2 normal gap widths (and sometimes 4 times) from the...
Forum: Prime Gap Searches 2021-08-03, 09:32
Replies: 13
Views: 1,912
Posted By robert44444uk
Tested now up to 4.1e14 and a first gap of 420...

Tested now up to 4.1e14 and a first gap of 420 has appeared!

New first instance double gaps:



203340719517647 203340719517989 203340719518331 342...
Forum: Prime Gap Searches 2021-08-02, 13:27
Replies: 133
Views: 31,020
Posted By robert44444uk
Certainly testing the centre around the deficient...

Certainly testing the centre around the deficient primorial was the method of choice before Seth's code. Danaj developed a "surround_primes" function in Perl to enable the methodology.
...
Forum: Prime Gap Searches 2021-07-29, 08:16
Replies: 13
Views: 1,912
Posted By robert44444uk
I'm up to 1.284e14 and I have found the following...

I'm up to 1.284e14 and I have found the following first instance double gaps

79280544407833 79280544408151 79280544408469 318
65110291176851 65110291177181 65110291177511 330...
Forum: Prime Gap Searches 2021-07-28, 15:19
Replies: 261
Sticky: Prime Gap News
Views: 65,435
Posted By robert44444uk
This was the "most wanted" gap with no known pair...

This was the "most wanted" gap with no known pair of primes!

113326 11.5806 62857*9859#/46410-57330

119222 will now be the smallest missing gap in the table.
Forum: Prime Gap Searches 2021-07-27, 14:23
Replies: 13
Views: 1,912
Posted By robert44444uk
I've completed 5e13 to 6e13, with no double gap...

I've completed 5e13 to 6e13, with no double gap >312.

I'm now taking 6e13 to 3e14.
Forum: Prime Gap Searches 2021-07-26, 09:37
Replies: 13
Views: 1,912
Posted By robert44444uk
Ah!! Of course! I forgot the law of small...

Ah!! Of course! I forgot the law of small integers.

It is also a CPAP-3.
Forum: Prime Gap Searches 2021-07-20, 10:40
Replies: 13
Views: 1,912
Posted By robert44444uk
Repeating gaps

With the group's current computing resources it should be possible to take the following sequence and extend it

https://oeis.org/A052187

So 47,53,59 is the first sequence of primes with a...
Forum: Prime Gap Searches 2021-07-19, 11:52
Replies: 43
Views: 13,768
Posted By robert44444uk
I'm not sure anyone actually stores this list of...

I'm not sure anyone actually stores this list of gaps.

A very small program in C or Perl can generate this list faster than you can call it up from a hard drive.

Someone will tell me you can...
Forum: Prime Gap Searches 2021-07-19, 11:24
Replies: 63
Views: 7,237
Posted By robert44444uk
Astonishing!

Astonishing!
Forum: Prime Gap Searches 2021-07-07, 06:41
Replies: 63
Views: 7,237
Posted By robert44444uk
The input page is now working...

The input page is now working https://primegaps.cloudygo.com/
Forum: Prime Gap Searches 2021-06-29, 08:06
Replies: 63
Views: 7,237
Posted By robert44444uk
Hi - does anyone know when the entry page is...

Hi - does anyone know when the entry page is coming back online?
Forum: Prime Gap Searches 2021-06-20, 07:03
Replies: 63
Views: 7,237
Posted By robert44444uk
Astounding, many congrats. Lets hope it is...

Astounding, many congrats.

Lets hope it is a new maximal!
Forum: Prime Gap Searches 2021-06-19, 09:14
Replies: 261
Sticky: Prime Gap News
Views: 65,435
Posted By robert44444uk
It will be interesting to see how these facts on...

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...
Forum: Prime Gap Searches 2021-06-05, 06:54
Replies: 18
Views: 2,622
Posted By robert44444uk
I feel confident that there are people who do the...

I feel confident that there are people who do the distance in a lifetime. But probably not most specimens of homo sapiens species.

People are encouraged to do 10,000 steps a day in the UK, and an...
Forum: Prime Gap Searches 2021-06-02, 21:38
Replies: 261
Sticky: Prime Gap News
Views: 65,435
Posted By robert44444uk
I've come back after a little time away to look...

I've come back after a little time away to look at something else, but found this on day 1 of searching

542206 27.573 x*19867#/46410-y

Rather tasty, I would say.
Forum: Prime Gap Searches 2021-05-04, 06:32
Replies: 261
Sticky: Prime Gap News
Views: 65,435
Posted By robert44444uk
Cool!

Cool!
Showing results 1 to 25 of 1000

 
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