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Old 2021-12-07, 15:57   #56
robert44444uk
 
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Quote:
Originally Posted by MJansen View Post
Hi Seth,

have you been able to add the option to enter large gaps? I have a nice one to add (was hoping for more of course):
5198448 14.335331 363257*363269#/510510-2177806

Kind regards
Michiel
Nice gap! I also gave Seth some 1m+ gaps a while back.
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Old 2021-12-07, 18:28   #57
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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#/46410-48228
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Old 2021-12-07, 22:23   #58
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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.
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Old 2021-12-14, 12:50   #59
henryzz
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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, 2021-12-14, 1275, 32994233 * 2999#/2303070 -48782
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Old 2021-12-14, 15:38   #60
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Quote:
Originally Posted by henryzz View Post
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, 2021-12-14, 1275, 32994233 * 2999#/2303070 -48782
A handsome find!!
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Old 2022-02-22, 21:57   #61
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Default New WR - absolute gap between two (probable) primes

Just now, after PRP-ing 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
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Old 2022-02-23, 00:05   #62
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Sounds very interesting! Congrats.
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Old 2022-02-23, 06:30   #63
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Congrats Michiel! You have always lead the search for megagaps!
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Old 2022-02-23, 06:55   #64
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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.
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Old 2022-02-25, 09:01   #65
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Default Largest absolute gap

The plus side was found 25-2-2022 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 pre-sieved 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
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Old 2022-02-25, 12:53   #66
ATH
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Congratulations!

Did you save the factors from sieving?

Code:
479909#/30030-3166622+0 is Lucas PRP! (2488.3945s+0.1500s)
479909#/30030-3166622+0 is 31-PRP! (699.4738s+0.1494s)
479909#/30030-3166622+0 is 61-PRP! (698.5678s+0.1491s)
479909#/30030-3166622+0 is 89-PRP! (712.8587s+0.1491s)
479909#/30030-3166622+0 is 107-PRP! (712.6334s+0.1495s)
479909#/30030-3166622+0 is 127-PRP! (699.6641s+0.1507s)

479909#/30030-3166622+6966714 is Lucas PRP! (3137.9045s+0.1848s)
479909#/30030-3166622+6966714 is 31-PRP! (872.6063s+0.1841s)
479909#/30030-3166622+6966714 is 61-PRP! (872.4068s+0.1844s)
479909#/30030-3166622+6966714 is 89-PRP! (872.4274s+0.1843s)
479909#/30030-3166622+6966714 is 107-PRP! (872.6603s+0.1842s)
479909#/30030-3166622+6966714 is 127-PRP! (872.2974s+0.1841s)
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