20211207, 15:57  #56 
Jun 2003
Suva, Fiji
2^{3}·3·5·17 Posts 

20211207, 18:28  #57 
Jun 2003
Suva, Fiji
2^{3}·3·5·17 Posts 
Just found a cracking good gap  the highest merit for its size by a substantial margin. It is probably around 21st in merit ever found.
91262 36.934 18453293*2539#/4641048228 
20211207, 22:23  #58 
"Seth"
Apr 2019
473_{10} Posts 
That's a huge find! Congrats! Wish it had been a top 20, still 21st is amazing.
You missed the Dec 6th update so I pushed an extra one just now. It removes 8 points from the high water mark table! Now there's nothing between my merit 36 gap=78450 and this. 
20211214, 12:50  #59 
Just call me Henry
"David"
Sep 2007
Liverpool (GMT/BST)
7·859 Posts 
Just submitted a gap I found a while back and never got around to submitting. This is by far my best gap. I think my first record 30 merit as I generally search for larger gaps with lower merit.
105548, C?P, 35.9616, DStevens, 20211214, 1275, 32994233 * 2999#/2303070 48782 
20211214, 15:38  #60  
Jun 2003
Suva, Fiji
7F8_{16} Posts 
Quote:


20220222, 21:57  #61 
Jan 2018
2×5×11 Posts 
New WR  absolute gap between two (probable) primes
Just now, after PRPing for almost 4 weeks after sieving with all primes till 10^12 for 3 1/2 days, the current world record gap between two consecutive probable primes, 6.582.144, has been bested.
The minus side of the gap has been found, the plus side is still going. So the absolute size and merit are unknown as of yet. The gapcenter is at the primorial of the first 40.000 primes, divided by 30030. No additional multiplier was used in the value of the gapcenter. In common notation, the gap start is at: 479909#/30030  3.166.622 The current plus side (still running) is at 3.418.266. This gives a gap of at least 6.584.888 with a merit of 13.743 Will post again when the plus side has been found Kind regards Michiel Jansen 
20220223, 00:05  #62 
Jun 2015
Vallejo, CA/.
2160_{8} Posts 
Sounds very interesting! Congrats.

20220223, 06:30  #63 
"Seth"
Apr 2019
11·43 Posts 
Congrats Michiel! You have always lead the search for megagaps!

20220223, 06:55  #64 
Jun 2003
Suva, Fiji
2^{3}·3·5·17 Posts 
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.

20220225, 09:01  #65 
Jan 2018
2·5·11 Posts 
Largest absolute gap
The plus side was found 2522022 at 01.40 UTC/GMT+1 hour.
The search stopped at 479909#/30030 + 3.800.092. Which gives a gap of 6.966.714 at merit 14.540 I have been looking for this record for some time now, started September last year, and I forgot the element of luck needed to find a nice sized gap. Many attempts ended much earlier than hoped for and to give some statistics of this search: I presieved the interval (together with 7 other intervals) in 3 1/2 days with all primes till 10^12, using Treesieve, a program developed by Jens Kruse Andersen. After that I used Pfgw64 under Ubuntu to PRP the remaining candidate prime values. This took another 32 days and almost 8 hours. A single PRP at this size of 208.096 digit numbers, took 596 seconds, almost 10 minutes, using a AMD 5900 processor on 12 cores @3500 MHz (leaving 12 threads idle). In the end 35.943 candidate prime numbers were PRP'd. So a single core would have taken 248 days to PRP all candidates. I have 3 more promising gaps that I will run and after that I will stop the search for another mega gap. Too much of a frustration when the search ends prematurely ;) But for now happy a new record was set! Kind regards Michiel Jansen 
20220225, 12:53  #66 
Einyen
Dec 2003
Denmark
3,413 Posts 
Congratulations!
Did you save the factors from sieving? Code:
479909#/300303166622+0 is Lucas PRP! (2488.3945s+0.1500s) 479909#/300303166622+0 is 31PRP! (699.4738s+0.1494s) 479909#/300303166622+0 is 61PRP! (698.5678s+0.1491s) 479909#/300303166622+0 is 89PRP! (712.8587s+0.1491s) 479909#/300303166622+0 is 107PRP! (712.6334s+0.1495s) 479909#/300303166622+0 is 127PRP! (699.6641s+0.1507s) 479909#/300303166622+6966714 is Lucas PRP! (3137.9045s+0.1848s) 479909#/300303166622+6966714 is 31PRP! (872.6063s+0.1841s) 479909#/300303166622+6966714 is 61PRP! (872.4068s+0.1844s) 479909#/300303166622+6966714 is 89PRP! (872.4274s+0.1843s) 479909#/300303166622+6966714 is 107PRP! (872.6603s+0.1842s) 479909#/300303166622+6966714 is 127PRP! (872.2974s+0.1841s) 
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