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[转载] 上个月发现了好多个费马数的因子

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发表于 2023-8-16 10:13:21 | 显示全部楼层 |阅读模式

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July 28th, 2023
New Fermat factor from Serge Batalov, Ryan Propper and FermatSearch!
13,243  . 2699764+1 is a Factor of   F699760!!!
They discovered the eighth Fermat factor of this year working on separate ranges to speed up the search!
This factor was discovered using Serge's own search program.
We now have 368 Fermat factors, the most in one year since the 16 factors found in 2012!
Congratulations to Serge and Ryan from FermatSearch!
-
July 27th, 2023
New Fermat factor from Erwin Doescher!
43,390,164,659,167  . 2164+1 is a Factor of   F160!!!
The seventh Fermat factor of this year was discovered using a new CUDA enabled software written by Erwin.
The program can be found here We now have 367 Fermat factors, and a new factorization program!
Congratulations to Erwin from FermatSearch!
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July 18th, 2023
New Fermat factor from James Scott Brown and PrimeGrid!
141  . 24192911+1 is a Factor of   F4192909!!!
The sixth Fermat factor of this year was discovered using Psieve, Srsieve and LLR.
We now have 366 Fermat factors, one for each day of the (leap) year!
Congratulations to James from FermatSearch!
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July 10th, 2023
New Fermat factor from Serge Batalov and FermatSearch!
10,981,209  . 231883+1 is a Factor of   F31880!!!
Serge Batalov discovered the fifth Fermat factor of this year!
This factor was discovered using Serge's own search program.
We now have 365 Fermat factors, one for each day of the year, and Batalov's name is on a whole week!
Congratulations to Serge from FermatSearch!
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June 25th, 2023
New Fermat factor from Gary Gostin and FermatSearch!
44,893,411,020,831  . 2427+1 is a Factor of   F425!!!
Gary Gostin discovered the fourth Fermat factor of this year!
This factor was discovered on HP Omen PC running Ubuntu with an i9-9900K CPU and RTX 4070 GPU running gfs.
We now have 364 Fermat factors!
Congratulations to Gary from FermatSearch!
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May 31st, 2023
New Fermat factor from Gary Gostin and FermatSearch!
321,941,255,325  . 21788+1 is a Factor of   F1784!!!
Gary Gostin discovered the third Fermat factor of this year!
This factor was discovered on HP Z640 workstation with an E5-2690 v4 CPU and RTX 4070 Ti GPU running gfs.
We now have 363 Fermat factors!
Congratulations to Gary from FermatSearch!

http://www.fermatsearch.org/news.html


上次我发的
713,828,860,473*2^1438+1 is a Factor of 费马数F1436
https://bbs.emath.ac.cn/forum.ph ... 9&fromuid=14149

仅仅不到四个月,居然增加了那么多个新发现的素数因子(6个,其中上个月就发现了4个,真是不可思议)
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
发表于 2023-8-28 10:53:32 | 显示全部楼层
不错不错
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
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 楼主| 发表于 2024-6-13 15:03:21 | 显示全部楼层
May 24th, 2024
New Fermat factor from Gary Gostin and FermatSearch!
322,072,887,044,529*2^253+1 is a Factor of   F251!!!
This was discovered this morning, May 24th, using an Intel i9-9900K CPU with an RTX 4070 GPU running gfs. Interestingly, this factor makes F251
the 5th largest Fermat number with multiple known factors, after F284, F287, F416 and F417. We now have 369 Fermat factors, and one factor discovered in 2024
Congratulations to Gary from FermatSearch!

又出新的费马数的因子了!
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2024-6-13 15:08:39 | 显示全部楼层
nyy 发表于 2024-6-13 15:03
May 24th, 2024
New Fermat factor from Gary Gostin and FermatSearch!
322,072,887,044,529*2^253+1 is a ...
  1. Clear["Global`*"];
  2. p=322072887044529*2^253+1
  3. PrimeQ[p](*检测是否素数*)
  4. aa=PowerMod[2,2^251,p]
  5. bb=aa+1-p(*如果等于零,证明2^(2^251)+1是p的整数倍*)
复制代码


这个代码可以检验是否是因子。
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
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