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2019-12-26, 06:28   #34
ldesnogu

Jan 2008
France

2·52·11 Posts

Quote:
 Originally Posted by storm5510 I have found "an" instance of 1,432. I had to start at 1e51 to do it. Are there instances of this gap in lower primes? I would say yes.
The smallest known starts at 84218359021503505748941. See https://faculty.lynchburg.edu/~nicel...html#MainTable

2019-12-27, 03:36   #35
storm5510
Random Account

Aug 2009

22×32×5×11 Posts

Quote:
 Originally Posted by ldesnogu The smallest known starts at 84218359021503505748941. See https://faculty.lynchburg.edu/~nicel...html#MainTable
Thank you. I suspected there would be a gap of the same size at a lower number.

2019-12-30, 16:26   #36
storm5510
Random Account

Aug 2009

7BC16 Posts

Quote:
 Originally Posted by ldesnogu The smallest known starts at 84218359021503505748941. See https://faculty.lynchburg.edu/~nicel...html#MainTable
This project may be dead. I sent an email asking a question and it was blocked. I found the content extremely interesting though.

Edit: His website does not respond either.

Last fiddled with by storm5510 on 2019-12-30 at 16:30 Reason: Additional

 2019-12-30, 16:53 #37 ATH Einyen     Dec 2003 Denmark 22·13·61 Posts It is a copy of the website of Thomas R. Nicely (http://trnicely.net/) who passed away 3.5 months ago, see here: https://mersenneforum.org/showthread.php?t=24904 and here: https://mersenneforum.org/showthread.php?t=22641
2019-12-31, 00:05   #38
storm5510
Random Account

Aug 2009

22×32×5×11 Posts

Quote:
 Originally Posted by ATH It is a copy of the website of Thomas R. Nicely (http://trnicely.net/) who passed away 3.5 months ago, see here: https://mersenneforum.org/showthread.php?t=24904 and here: https://mersenneforum.org/showthread.php?t=22641
Oh my! Now I feel like an idiot for for writing of it the way I did.

It appears his work continues in the second link. The output format is different. What was this ran with, if I may ask?

 2020-01-07, 23:35 #39 storm5510 Random Account     Aug 2009 111101111002 Posts Just as an experiment, I tried searching for gaps of 1,000 and higher. I did 817-million comparisons and only found 40. Sample: Code: 1000 173562042121603559000003155443277 1002 173562042121603559000009313185819 1004 173562042121603559000002684964513 1006 173562042121603559000012622835333 1006 173562042121603559000021527745167 1010 173562042121603559000000189000813 1012 173562042121603559000006819710501 1014 173562042121603559000001570624289 1016 173562042121603559000003875758521 1018 173562042121603559000005211487823 1020 173562042121603559000001398445077 1022 173562042121603559000002896404777 1024 173562042121603559000009761558327 1026 173562042121603559000003582270737 1028 173562042121603559000025383168849 1030 173562042121603559000006243898871 1032 173562042121603559000001018813277 1034 173562042121603559000003529371099 1036 173562042121603559000011033798393 The largest I found was 1444. This process is very time consuming. My hat is off to anyone having the patience to search for these.
 2020-01-10, 16:13 #40 storm5510 Random Account     Aug 2009 22×32×5×11 Posts For about the last five days, I have been working on a Strawberry Perl script to search for prime gaps. With a little advice from robert44444uk, it is a working script. It reads what it is supposed to run from a file I call work.txt. This contains a single line consisting of three numbers separated by commas: start, stop, filter. Example: 1048573, 2200000,100. In this case, anything >= 100 is printed on the screen and written into a file I call results.txt. I could not think of a better name. The work.txt file is updated every 15 seconds by using a timer routine. This may seem too frequent to some. I set it to this because the script covers a lot of territory rapidly. Pressing Ctrl-C stops the script and saves its current values into the work file. There is a simple capture for this to redirect it to a sub. Each output line contains an initiating prime, an end prime, and the gap between in CSV format. I am going to cut this back to the initiating prime and the gap because the output file grows rather rapidly. This is capable of handling very large numbers, as in the attachment below. This short test started at 1e59 which is 60 digits. I compiled the script into a Windows executable program. The first compile was 12 MB. By removing some unused modules, I got this down to 8 MB. I feel this is rather large coming from a script containing 64 lines, including white-space. I will try to improve on this by doing more web research. I need to add some traps to catch any irregularities in the work file also. I know many here use Linux. After I have done what I feel is enough testing, and have made the needed changes, I will make the script available here.The only change I see is the modification of the environment line at the top. Mine is "#1 C:\Strawberry." Linux would be something like "#! /usr/bin/env perl." Anyone having a Linux install of Strawberry should not have any problems running this script. Other variations would probably require some code changes. A week ago, I knew nothing about Perl. My long programming background made this far easier to learn. I have often asked myself why I should try to learn something like this when I am 64 years old. I guess the proper answer would be that it is never too late to learn something new. I have enjoyed the process greatly. I do the best I can. Attached Thumbnails
 2020-01-29, 22:52 #41 Bobby Jacobs     May 2018 233 Posts You can find prime gap lists on OEIS.
2021-07-15, 23:54   #42
raresaturn

Jul 2021

22 Posts

Quote:
 Originally Posted by Bobby Jacobs You can find prime gap lists on OEIS.
This only goes up to 97 as far as I can tell.. where's the rest of the data?
https://oeis.org/A001223/list

 2021-07-19, 11:52 #43 robert44444uk     Jun 2003 Oxford, UK 19×103 Posts 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 do a 1-line program!
2021-07-19, 17:56   #44
mart_r

Dec 2008
you know...around...

677 Posts

Quote:
 Originally Posted by raresaturn This only goes up to 97 as far as I can tell.. where's the rest of the data? https://oeis.org/A001223/list

Well, in the links section for A001223, there are 100000 terms, and if you scroll further down there are also programs with which you can generate the data.

Like Robert said, it's easy to generate millions of terms of A001223, it depends on what you'd like to do with them.

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