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Forum: Prime Gap Searches 2022-09-07, 02:11
Replies: 148
Views: 41,735
Posted By robert44444uk
Hi Mart I'm trying to get to grips with what...

Hi Mart

I'm trying to get to grips with what you have written here..but stumbling right at the start

The average density of gaps between consecutive primes....surely there is only one gap...
Forum: Prime Gap Searches 2022-04-21, 02:09
Replies: 122
Views: 40,158
Posted By robert44444uk
Michiel, I sent the candidate to you in an email

Michiel, I sent the candidate to you in an email
Forum: Prime Gap Searches 2022-04-20, 00:54
Replies: 122
Views: 40,158
Posted By robert44444uk
The number is already sieved up to 1e12

The number is already sieved up to 1e12
Forum: Prime Gap Searches 2022-04-20, 00:53
Replies: 122
Views: 40,158
Posted By robert44444uk
It's on hold until I have a machine shipped out....

It's on hold until I have a machine shipped out. I do have the files for the candidate if anyone wants to share the number. I have pfgw files for 4 separate pfgw instances/ consoles - when run in...
Forum: Prime Gap Searches 2022-04-18, 00:51
Replies: 122
Views: 40,158
Posted By robert44444uk
I'm in Australia at present, awaiting my partners...

I'm in Australia at present, awaiting my partners work visa application for Fiji. I'll be in Fiji for 2 years. I won't have my 16 core machine sadly, it would not cope with the heat and humidity. I'm...
Forum: Prime Gap Searches 2022-04-10, 13:02
Replies: 122
Views: 40,158
Posted By robert44444uk
Great result. I'm stepping away from processing...

Great result. I'm stepping away from processing large number of gaps, as I will be in another country for 2 years and wont have the resources.

I will keep plugging away with one gap, which is...
Forum: Prime Gap Searches 2022-02-27, 21:26
Replies: 122
Views: 40,158
Posted By robert44444uk
Michiel - Are you happy to have your record...

Michiel - Are you happy to have your record credited to MJandJKA rather than yourself?
Forum: Prime Gap Searches 2022-02-25, 18:57
Replies: 122
Views: 40,158
Posted By robert44444uk
What a shame - just shy of 7 million. You might...

What a shame - just shy of 7 million. You might want to update Wikipedia once it has been checked.
Forum: Prime Gap Searches 2022-02-24, 18:28
Replies: 45
Views: 12,278
Posted By robert44444uk
I had a look at 5 twins in 39, tested up to...

I had a look at 5 twins in 39, tested up to 2.72e17 and the smallest gap between two sets was 39323130 between 211086473671082921 and 211086473710406051
Forum: Prime Gap Searches 2022-02-23, 06:55
Replies: 122
Views: 40,158
Posted By robert44444uk
Ah, a holy grail. It is really hard work to find...

Ah, a holy grail. It is really hard work to find this type of gap, so massive congrats. I will be only #3 on this list now.
Forum: Prime Gap Searches 2022-02-18, 18:10
Replies: 45
Views: 12,278
Posted By robert44444uk
Small gaps between two sets of 6 twins of the...

Small gaps between two sets of 6 twins of the same pattern do not look very likely, after a week of searching the best I could manage was

Between 1003698437366279 and 1005770184693929 the gap is...
Forum: Puzzles 2022-02-16, 16:53
Replies: 17
Views: 2,295
Posted By robert44444uk
The series includes a couple of large adjacent...

The series includes a couple of large adjacent primes, at the positions shown

889673 and 889687 at position 61984722855
979291 and 979313 at position 68361333199

This contrasts the very long...
Forum: Puzzles 2022-02-14, 18:53
Replies: 17
Views: 2,295
Posted By robert44444uk
Amazing work. But...You numbers overlap I notice...

Amazing work. But...You numbers overlap I notice - see the results for 67 and 73. In my original definition I disallowed overlaps.
Forum: Prime Gap Searches 2022-02-13, 16:47
Replies: 45
Views: 12,278
Posted By robert44444uk
I actually found an overlapping set from the 3rd...

I actually found an overlapping set from the 3rd pattern!


1135141716537970+1 is 3-PRP! (0.0000s+0.0002s)
1135141716537970+3 is 3-PRP! (0.0000s+0.0002s)
1135141716537970+7 is 3-PRP!...
Forum: Prime Gap Searches 2022-02-11, 12:33
Replies: 45
Views: 12,278
Posted By robert44444uk
Wow, only 210 separate these two - pattern 2, (4...

Wow, only 210 separate these two - pattern 2, (4 twins in 33)

200595358412147 200595358411937

I wonder if this is the closest two can get?

Also a slightly large gap (87529363350) from the...
Forum: Prime Gap Searches 2022-02-11, 11:16
Replies: 45
Views: 12,278
Posted By robert44444uk
I thought I would look at differences between...

I thought I would look at differences between 4-twin constellations, (4 twins in 33 integers) using the first pattern listed in mart_r's list, post #22 on this thread. The smallest I have found to...
Forum: Prime Gap Searches 2022-02-11, 08:43
Replies: 45
Views: 12,278
Posted By robert44444uk
I took this up to at least 8.3e19 on all 4...

I took this up to at least 8.3e19 on all 4 possible sets, but the 2^64 barrier considerably slowed this down, so unlikely to take further.
Forum: Puzzles 2022-02-07, 12:36
Replies: 17
Views: 2,295
Posted By robert44444uk
Hah, silly me

Hah, silly me
Forum: Puzzles 2022-02-07, 09:15
Replies: 17
Views: 2,295
Posted By robert44444uk
You have to love the projected result of this...

You have to love the projected result of this exercise - there is exists within the decimal representation of pi, (which is itself just one of an infinite number of irrationals), all of the infinity...
Forum: Prime Gap Searches 2022-02-06, 06:18
Replies: 45
Views: 12,278
Posted By robert44444uk
I'm up to 6e19 in the search for 9 twins (using...

I'm up to 6e19 in the search for 9 twins (using all 4 patterns) in 105 digits without a result.
Forum: Puzzles 2022-02-04, 17:04
Replies: 17
Views: 2,295
Posted By robert44444uk
That's the point at which the next prime has 4...

That's the point at which the next prime has 4 digits. There would be similar inflections at 2 to 3 and 1 to 2 digits as well.

When I inferred that pi is normal in the OP, I meant pi behaves as a...
Forum: Puzzles 2022-02-04, 15:54
Replies: 17
Views: 2,295
Posted By robert44444uk
Primes in order in pi

I am a little surprised I can't find any mention on the web, of the sequence of primes, in order, that might be found in the decimal expansion of pi (3.1415926535..)

The first instance of 2 is at...
Forum: Prime Gap Searches 2022-01-28, 17:32
Replies: 45
Views: 12,278
Posted By robert44444uk
I thought I would look at this again, using...

I thought I would look at this again, using mart_r's table. The idea is that someone could create an entry to OEIS.

These are the first instance primes where the number of twins shown (of which...
Forum: Prime Gap Searches 2022-01-24, 09:11
Replies: 69
Views: 18,825
Posted By robert44444uk
The closest I have gotten to 100 primes following...

The closest I have gotten to 100 primes following 1571162669*193#+129568114146274965711541776666046371290799466131684641935400586161726498035577 is 95 primes, within a period of 8346 compared to the...
Forum: Prime Gap Searches 2022-01-17, 08:56
Replies: 69
Views: 18,825
Posted By robert44444uk
A couple more, getting closer, but not that close...

A couple more, getting closer, but not that close

124977806 92
125316443 90
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