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楼主: fwjmath

[项目新闻] [BOINC][数学类]PrimeGrid

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发表于 2017-12-6 01:27:25 | 显示全部楼层
2017-12-04: PrimeGrid, GFN-262144 Mega Prime!

On 3 December 2017, 06:30:24 UTC, PrimeGrid?s Generalized Fermat Prime Search found the Generalized Fermat mega prime:

3673932^262144+1

The prime is 1,721,010 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 6th for Generalized Fermat primes and 53rd overall.

The discovery was made by Sean Humphries (No.15) of the United States using an AMD Radeon RX Vega in an AMD Ryzen 7 1800X CPU with 32GB RAM, running Microsoft Windows 10 Professional Edition. This GPU took about 24 minutes to probable prime (PRP) test with GeneferOCL5. Sean is a member of the Overclock.net team.

The prime was verified on 3 December 2017, 07:29:36 UTC by Wolfgang Schwieger (DeleteNull) of Germany using an NVidia GeForce GTX Titan Black GPU in an Intel(R) Core(TM) i7-6700K CPU at 4.00GHz with 32GB RAM, running Linux. This GPU took about 27 minutes to probable prime (PRP) test with GeneferOCL5. Wolfgang is a member of the SETI.Germany team.

The PRP was confirmed prime by an Intel(R) Core(TM) i7-7700K CPU @ 4.20GHz with 16GB RAM, running Microsoft Windows 10 Professional Edition. This computer took about 5 hours 45 minutes to complete the primality test using multithreaded LLR.

For more details, please see the official announcement.

----------------------------
2017.12.04 前两天刚发现的那个排名第六的广义费马数被挤下去啦2333
最大广义费马数排行榜第六名的宝座现在由3673932^262144+1占领! (掩面,3596074^262144+1 上位才不到一个月就被干下去了,我还以为看错新闻。。
这个广义费马数有一百七十二万一千零一十位数字(比之前的第六名多了2438位!

=======================================
2017-12-05: PrimeGrid, Another PPS-Mega Prime!

On 3 December 2017, 20:54:51 UTC, PrimeGrid?s PPS Mega Prime Search project found the Mega Prime:
1065*2^3447906+1

The prime is 1,037,927 digits long and will enter Chris Caldwell's The Largest Known Primes Database ranked 210th overall.

The discovery was made by Juan C. Toledo (Meithan West) of Mexico using an Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz with 8GB RAM, running Linux. This computer took about 1 hour 48 minutes to complete the primality test using LLR. Juan is a member of the UNAM ? Universidad Nacional Autonoma de Mexico team.

The prime was verified on 3 December 2017, 22:23:34 UTC by Lucas Brown (LucasBrown) of the United States using an Intel(R) Core(TM) i7-6700K CPU @ 4.00GHz with 64GB RAM, running Linux. This computer took about 48 minutes to complete the primality test using LLR. Lucas is a member of the XKCD team.

For more details, please see the official announcement.

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2017.12.05 又一个巨大的普罗斯素数!
本月3号,PrimeGird 的子项目Proth Prime Search 找到了这个巨大的素数:
1065*2^3447906+1
该素数有一百零三万七千九百二十七位,在已知所有素数中排名第210.(最近新发现的素数好像都是这个位置左右。。
发现者和验证信息就不译了,老看土豪们的配置也没啥意思。。







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发表于 2017-12-6 01:31:59 | 显示全部楼层
妈个鸡,重大失误!
PPS-Mega Prime 全称应该是Proth Prime Search Mega Prime ,Proth Prime Search(PPS)是现在PrimeGird 的一个子项目,目的是寻找普罗斯素数,我之前还以为PPS是个什么算法。。赶紧把前两天发的改了。。
*普罗斯数是如下形式的数:k*2^n+1 其中k是奇数,n是正整数,且2^n>k。既是普罗斯数又是素数的整数,称为普罗斯素数。
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发表于 2017-12-16 12:06:37 | 显示全部楼层
2017-12-15: PrimeGrid, TRP Mega Prime!

On 13 December 2017, 07:13:55 UTC, PrimeGrid?s The Riesel Problem project eliminated k=273809 by finding the mega prime:

273809*2^8932416-1

The prime is 2,688,931 digits long and will enter Chris Caldwell's The Largest Known Primes Database ranked 29th overall. This is PrimeGrid's 15th elimination. 49 k's now remain.

The discovery was made by Wolfgang Schwieger (DeleteNull) of Germany using an Intel(R) Core(TM) i7-6700K CPU @ 4.00GHz with 32 GB RAM running Linux. This computer took about 2 hours and 14 minutes to complete the primality test using multithreaded LLR. Wolfgang is a member of the SETI.Germany team.

The prime was verified on 15 December 2017, 11:39:55 UTC, by Christian Geffcken (CGe0963) of Switzerland using an Intel(R) Core(TM) i5-3437U CPU @ 1.90GHz with 8 GB RAM running Microsoft Windows 7 Professional. This computer took about 41 hours and 47 minutes to complete the primality test using LLR.

For more details, please see the official announcement.


http://www.primegrid.com/forum_thread.php?id=7754

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2017.12.15 黎瑟尔问题项目(The Riesel Problem project )发现了新的素数!
本月13日,黎瑟尔问题项目验证了一个新的超大素数:
273809*2^8932416-1
并由此排除了黎瑟尔问题中k = 273809 的情况。这是PrimeGrid 在此问题中排除的第15种情况,现在还剩下49个k值等待测验。
该素数有两百六十八万八千九百三十一位数(2,688,931),在所有已知最大素数中排名第29.
此次发现归功于来自德国的老铁Wolfgang Schwieger 。他使用的计算机CPU 为酷睿i7-6700k,内存为32GB ,系统为Linux 。这台计算机使用multithreaded LLR 检验该数花了2小时14分钟。Wolfgang 是SETI.Germany 团队的成员。


*验证信息略。

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发表于 2017-12-19 15:41:32 | 显示全部楼层
2017-12-17: PrimeGrid, Winter Solstice challenge starts tomorrow!

Tomorrow, December 18th, at 16:28 UTC, PrimeGrid's three day Winter Solstice Challenge will begin. Please join us in celebrating the Winter Solstice by crunching some PPS-Sieve tasks!

Details and discussion about the challenge can be found here: http://www.primegrid.com/forum_thread.php?id=7721.

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2017.12.17 PrimeGrid 冬至挑战赛即将开战!
明天,也就是12月18日16:28 UTC,为期三天的PrimeGrid 冬至挑战赛即将开赛(PPS-Sieve 任务)。快来加入我们吧!
详情见:http://www.primegrid.com/forum_thread.php?id=7721.

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 楼主| 发表于 2017-12-20 03:41:55 | 显示全部楼层
昂宿星团人 发表于 2017-12-16 12:06
2017-12-15: PrimeGrid, TRP Mega Prime!

On 13 December 2017, 07:13:55 UTC, PrimeGrid?s T ...

提一个小问题:47 k's不是四万七千个,而是47个k…… Riesel 问题处理的是形如k*2^n-1的数,这里的k就是他们说的k……

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发表于 2017-12-21 10:33:24 | 显示全部楼层
fwjmath 发表于 2017-12-20 03:41
提一个小问题:47 k's不是四万七千个,而是47个k…… Riesel 问题处理的是形如k*2^n-1的数,这里的k就是 ...

尴尬了,谢谢大佬指正!已修改~
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发表于 2018-1-13 00:32:50 | 显示全部楼层
2018-01-12: PrimeGrid, GFN-262144 Mega Prime!

On 10 January 2018, 12:26:12 UTC, PrimeGrid?s Generalized Fermat Prime Search found the Generalized Fermat mega prime:

3853792^262144+1

The prime is 1,726,452 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 6th for Generalized Fermat primes and 55th overall.

The discovery was made by Rod Skinner (rjs5) of the United States using an NVIDIA GeForce GTX 1080 in an Intel(R) Core(TM) i7-8700K CPU at 3.70GHz with 16GB RAM, running Linux. This GPU took about 18 minutes to probable prime (PRP) test with GeneferOCL3. Rod is a member of the Intel Corporation team.

The PRP was confirmed prime by an Intel(R) Core(TM) i7-7700K CPU @ 4.20GHz with 16GB RAM, running Microsoft Windows 10 Professional. This computer took about 6 hours 59 minutes to complete the primality test using LLR.

For more details, please see the official announcement.


---------------
2018.01.12 新的超级大素数
2018.01.10 ,PrimeGird 的广义费马数搜索项目找到了这个广义费马数:
3853792^262144+1
该数长度为一百七十二万六千四百五十二位,在已知最大素数中排名第55,在已知最大广义费马数中排名第六。
发现者是来自美帝的老铁Rod Skinner (rjs5)(团队是Intel Corporation Team),使用装备为GTX 1080 ,i7-8700K @3.70GHz 和16GB RAM ,系统为Linux。该GPU使用GeneferOCL3验证这个数花了18分钟。
验证信息略~
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发表于 2018-1-26 17:38:53 | 显示全部楼层
2018-01-24: PrimeGrid, GFN-524288 Mega Prime!

On 15 January 2018, 01:27:20 UTC, PrimeGrid?s Generalized Fermat Prime Search found the Generalized Fermat mega prime:

1880370^524288+1

The prime is 3,289,511 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 2nd for Generalized Fermat primes and 22nd overall.

The discovery was made by Scott Brown (Scott Brown) of the United States using an NVIDIA GeForce GTX 960 in an Intel(R) Core(TM) i7-2600 CPU at 3.40GHz with 8GB RAM, running Windows 10 Core Edition. This GPU took about 2 hours 27 minutes to probable prime (PRP) test with GeneferOCL4. Scott is a member of the Aggie The Pew team.

The prime was verified on 15 January 2018, 13:47:11 UTC by user tangwei@cn of China using an NVIDIA GeForce GTX 1070 in an Intel(R) Xeon(R) E3-1230v2 CPU @ 3.30GHz with 8GB RAM, running Windows 10 Professional Edition. This GPU took about 59 minutes to probable prime (PRP) test with GeneferOCL4. Tangwei@CN is a member of Team China.

The PRP was confirmed prime by an Intel(R) Core(TM) i7-7700K CPU @ 4.20GHz with 16GB RAM, running Microsoft Windows 10 Professional. This computer took about 20 hours 40 minutes to complete the primality test using LLR.

For more details, please see the official announcement.


http://www.primegrid.com/forum_thread.php?id=7817
---
2018.01.24 新的超大素数
本月15日,PrimeGrid 的子项目“搜索广义费马数”发现了这个广义费马数:
1880370^524288+1
该数有三百二十八万九千五百一十一位数字,为目前已知第二大的广义费马数,在已知最大素数排行榜中位列第22。
该数的发现者为来自英国的老铁Scott Brown ,使用装备为GeForce GTX 960 , Intel(R) Core(TM) i7-2600 CPU ,这台机器的显卡花了两小时二十七分钟验证了此数。
*验证信息略。

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发表于 2018-3-4 07:37:19 | 显示全部楼层
2018-03-03: PrimeGrid, GFN-262144 Mega Prime!

On 1 March 2018, 04:16:07 UTC, PrimeGrid?s Generalized Fermat Prime Search found the Generalized Fermat mega prime:

4489246^262144+1

The prime is 1,743,828 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 7th for Generalized Fermat primes and 56th overall.

The discovery was made by Wolfgang Schwieger (DeleteNull) of Germany using an NVIDIA GeForce GTX 1070 Ti in an Intel(R) CPU at 2.30GHz with 32GB RAM, running Windows 10 Professional Edition. This GPU took about 18 minutes to probable prime (PRP) test with GeneferOCL3. Wolfgang is a member of the SETI.Germany team.

The prime was verified on 1 March 2018, 04:28:47 by Jonathan Sipes (k4m1k4z3) of the United States using an NVIDIA GeForce GTX 1080 GPU in an Intel(R) Core(TM) i7-2700K CPU at 3.50GHz with 8GB RAM, running Windows 7 Professional Edition. This GPU took about 20 minutes to probable prime (PRP) test with GeneferOCL3. Jonathan is a member of the Overclock.net team.

The PRP was confirmed prime by an Intel(R) Xeon(R) E3-1240 v6 CPU @ 3.70GHz with 2GB RAM, running Linux. This computer took about 5 hours 33 minutes to complete the primality test using LLR.

For more details, please see the official announcement.


http://www.primegrid.com/forum_thread.php?id=7897
--------------------
2018.03.03  PrimeGrid, 新的超级素数GFN-262144
本月1日,PrimeGird 的广义费马数搜索项目找到了这个广义费马数:
4489246^262144+1
该数长度为一百七十四万三千八百二十八位数,在已知广义费马数排行榜中位列第7,在已知素数排行榜中位列第56.
该数的发现者是来自德国的老铁Wolfgang Schwieger (DeleteNull),使用硬件为NVIDIA GeForce GTX 1070 Ti in an Intel(R) CPU at 2.30GHz with 32GB RAM ,running Windows 10 Professional Edition 。他的显卡花了大约18分钟使用GeneferOCL3 对此数进行了验证。WolfgangSETI.Germany 队的成员。
*验证信息略
更多信息请参看官方声明。

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发表于 2018-3-18 12:32:23 | 显示全部楼层
2018-03-17: PrimeGrid, Another World Record Generalized Cullen Prime!

On 11 March 2018, 23:54:40 UTC, PrimeGrid?s Generalized Cullen/Woodall Prime Search found the largest known Generalized Cullen prime:

1806676*41^1806676+1

Generalized Cullen numbers are of the form: n*b^n+1. Generalized Cullen numbers that are prime are called Generalized Cullen primes. For more information, please see ?Cullen prime? in The Prime Glossary.

The prime is 2,913,785 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 1st for Generalized Cullen primes and 27th overall.

Base 41 was one of 12 prime-less Generalized Cullen bases below b=121 that PrimeGrid is searching. The remaining bases are 13, 25, 29, 47, 49, 55, 69, 73, 101, 109 & 121.

The discovery was made by Hiroyuki Okazaki (zunewantan) of Japan using an Intel(R) Xeon(R) E5-2670 CPU @ 2.60GHz with 4GB RAM, running Linux. This computer took about 7 hours and 13 minutes to complete the primality test using multithreaded LLR. Hiroyuki is a member of the Aggie The Pew team.

The prime was verified on 12 March 2018 09:07:23 UTC by Scott Brown (Scott Brown) of the United States using an Intel(R) CPU @ 2.30GHz with 16GB RAM, running Windows 10 Professional Edition. This computer took about 15 hours 22 minutes to complete the primality test using LLR. Scott is also a member of the Aggie The Pew team.

For more details, please see the official announcement.


http://www.primegrid.com/forum_thread.php?id=7922
--------------------
2018-03-17: PrimeGrid,又一个创纪录的广义卡伦质数(Generalized Cullen Prime)
2018年3月11日,PrimeGrid 的子项目“卡伦/胡道尔质数搜索”找到了目前已知最大的广义卡伦质数:
1806676*41^1806676+1
广义卡伦数(Generalized Cullen numbers)是指形如n*b^n+1的数。其中的质数就称为广义卡伦质数。
该质数长为二百九十一万三千七百八十五位,为目前已知最大的卡伦质数,在已知质数排行榜中位列第27名。
该数的发现者是来自日本的老铁Hiroyuki Okazaki (zunewantan),使用硬件为 Intel(R) Xeon(R) E5-2670 CPU @ 2.60GHz with 4GB RAM, running Linux 。这台计算机用了大约七小时十三分钟完成了对该质数的检验。Hiroyuki 是the Aggie The Pew 团队的成员。

验证信息略

附科普信息:
卡伦数:(百度百科)
卡伦数是形式如n×2^n+1(写作Cn)的自然数。若质数p = 8k − 3 = 2n − 1,Cn能被p整除。根据费马小定理,若p是奇质数,p能整除Cm(k)对于m(k) = (2k − k)(p − 1) − k (对于k > 0)。


广义卡伦数:(fwjmath)
Cullen prime是形如n*2^n+1的素数,而广义Cullen prime是形如n*b^n+1的素数,将原来的2推广成了任意的b。

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发表于 2018-3-18 12:39:39 | 显示全部楼层
请教@fwjmath 大佬,这里的“Generalized”究竟是什么意思?我到处查过了,这个不像广义费马数那样有明确的定义,仅能找到Cullen numbers与Woodall numbers的介绍。
鉴于Generalized Cullen Prime 与Generalized Fermat Prime的结构如此相似,姑且先写上“广义”两个字了。。
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 楼主| 发表于 2018-3-18 16:39:53 | 显示全部楼层
昂宿星团人 发表于 2018-3-18 12:39
请教@fwjmath 大佬,这里的“Generalized”究竟是什么意思?我到处查过了,这个不像广义费马数那样有明确的 ...

就是“广义”。generalized在数学里一般指某个定义或者结论的推广,翻译成“广义”是没有问题的。Cullen prime是形如n*2^n+1的素数,而广义Cullen prime是形如n*b^n+1的素数,将原来的2推广成了任意的b。

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发表于 2018-3-28 23:36:30 | 显示全部楼层
2018-03-28: PrimeGrid, GFN-524288 Mega Prime!

On 20 March 2018, 08:28:32 UTC, PrimeGrid?s Generalized Fermat Prime Search found the Generalized Fermat mega prime:

2061748^524288+1

The prime is 3,310,478 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 2nd for Generalized Fermat primes and 22nd overall.

The discovery was made by Cesare Marini (Cesare Marini) of Italy using an NVIDIA GeForce GTX 1060 in an Intel(R) Core(TM) i7-6700 CPU at 3.40GHz with 32GB RAM, running Windows 10 Professional Edition. This GPU took about 1 hour 32 minutes to probable prime (PRP) test with GeneferOCL5.

The prime was verified on 20 March 2018, 19:46:06 UTC by H






---------------
2018-03-28: PrimeGrid, 发现了新的超大素数!
2018年3月20日,PrimeGird 的子项目“搜索广义费米质数”发现了这个数:
2061748^524288+1
该质数长度为三百三十一万零四百七十八位,为目前已知的第二大广义费米质数,在已知质数排行榜中位列第22名。
该数的发现者是来自意大利的老铁Cesare Marini (Cesare Marini) ,使用硬件为NVIDIA GeForce GTX 1060 in an Intel(R) Core(TM) i7-6700 CPU at 3.40GHz with 32GB RAM ,在Windows 10 Professional Edition 上运行的计算程序。这台机器的GPU花了大约一个半小时的时间完成了检验该数的工作。


*验证信息略


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发表于 2018-4-2 09:54:53 | 显示全部楼层
2018-04-01: PrimeGrid, World Record Woodall Prime!

On 21 March 2018, 22:13:39 UTC, PrimeGrid?s Woodall Prime Search found the Woodall mega prime:

17016602*2^17016602-1

Woodall numbers are of the form: W(n)=n*2^n-1. Woodall numbers that are prime are called Woodall primes. For more information, please see ?Woodall prime? in The Prime Glossary (http://primes.utm.edu/glossary).

The prime is 5,122,515 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 1st for Woodall primes and 16th overall. This is the 4th largest prime found by PrimeGrid, the 4th Woodall prime found by PrimeGrid, and the first Woodall prime found since December, 2007.

The discovery was made by Diego Bertolotti (ScOrPIoN) of Italy using an Intel(R) Core(TM) i7-2600 CPU at 3.40GHz with 8GB RAM, running Microsoft Windows 10. This computer took about 4 days 6 hours 14 minutes to complete the primality test. Diego is a member of the Boinc @ Italy team.

For more details, please see the official announcement.







---------
2018-04-01: PrimeGrid ,创纪录的新的胡道尔质数(Woodall Prime
2018年3月21日,22:13:39 UTC ,PrimeGird 的胡道尔质数搜索项目发现了这个超大胡道尔质数:
17016602*2^17016602-1
胡道尔数是形如:W(n)=n*2^n-1 的数。其中的质数则称作胡道尔质数。更多信息请参见百科词条。或官方科普页面(英文):The Prime Glossary (http://primes.utm.edu/glossary)
该数长度为五百一十二万两千五百一十五位,是目前发现的最大的胡道尔质数,在所有已发现的质数中排名第16.这是PrimeGird 第四次发现最大质数、第四次发现胡道尔数,且是自2007年12月以来首次发现胡道尔数。
该数的发现者为来自意大利的老铁Diego Bertolotti (ScOrPIoN) ,使用的硬件为 Intel(R) Core(TM) i7-2600 CPU at 3.40GHz with 8GB RAM ,运行Win 10 系统。该计算机花了4天6小时14分钟完成了对这个数的质数检验。Diego 是Boinc @ Italy 团队的成员。
更多信息请移步查看官方声明。


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发表于 2018-4-2 23:05:11 | 显示全部楼层
2018-04-02: PrimeGrid, Mathematics Awareness Month Challenge Starts April 3rd at 12:00 UTC

To help celebrate Mathematics Awareness Month we will be running a 5 day challenge on the ESP (LLR) sub-project.

Starts April 3rd 12:00:00 UTC and finishes April 8th 12:00:00 UTC.

The last prime found on this sub-project was 161041*2^7107964+1 on 6th January 2015. We're now searching n > 11,313,676.

For more information, please see the official challenge thread: http://www.primegrid.com/forum_thread.php?id=7935






-------------
2018-04-02: PrimeGrid, 数学科普月挑战赛
为了庆祝数学科普月,我们将举办一场为时五天的挑战赛,竞赛内容为ESP (LLR) 子项目
竞赛开始时间:北京时间4月3日20:00(April 3rd 12:00:00 UTC),结束时间为8日20:00(April 8th 12:00:00 UTC)
在这个子项目中,最近一次发现的质数是2015年1月6号发现的161041*2^7107964+1 。
更多信息请移步官方竞赛帖:http://www.primegrid.com/forum_thread.php?id=7935


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