Quelle auf http://www.primegrid.comWelcome to the Number Theory Week Challenge
The fifth Challenge of the 2017 Challenge series is a 5 day challenge to celebrate Number Theory Week 2017. The challenge is being offered on the 321 Prime Search (LLR) application.
The conference Number Theory Week 2017 is organised on the occasion of the 60th birthday of Jerzy Kaczorowski. Reflecting his broad interests, the conference will be devoted to all areas of Number Theory, with special emphasis on Analytic Number Theory.
The conference will be organised jointly by the Institute of Mathematics of the Polish Academy of Sciences, the Polish Mathematical Society, and the Faculty of Mathematics and Computer Science of Adam Mickiewicz University. It will be held September 4-8, 2017 at the Faculty of Mathematics and Computer Science of Adam Mickiewicz University, Poznań, Poland.
To participate in the Challenge, please select only the 321 Prime Search (LLR) project in your PrimeGrid preferences section. The challenge will begin 3rd September 2017 18:00 UTC and end 8th September 2017 18:00 UTC.
Application builds are available for Linux 32 and 64 bit, Windows 32 and 64 bit and MacIntel. Intel CPUs with AVX capabilities (Sandy Bridge, Ivy Bridge, Haswell, Broadwell, Skylake, Kabylake) will have a very large advantage, and Intel CPUs with FMA3 (Haswell, Broadwell, Skylake, Kabylake) will be the fastest.
ATTENTION: The primality program LLR is CPU intensive; so, it is vital to have a stable system with good cooling. It does not tolerate "even the slightest of errors." Please see this post for more details on how you can "stress test" your computer. Tasks will take ~16 hours on fast/newer computers and 48+ hours on slower/older computers. If your computer is highly overclocked, please consider "stress testing" it. Sieving is an excellent alternative for computers that are not able to LLR.
Highly overclocked Haswell, Broadwell, Skylake, or Kabylake (i.e., Intel Core i7, i5, and i3 -4xxx or better) computers running the application will see fastest times. Note that 321 is running the latest FMA3 version of LLR which takes full advantage of the features of these newer CPUs. It's faster than the previous LLR app and draws more power and produces more heat. If you have a Haswell, Broadwell, Skylake, or Kabylake CPU, especially if it's overclocked or has overclocked memory, and haven't run the new FMA3 LLR before, we strongly suggest running it before the challenge while you are monitoring the temperatures.
Please, please, please make sure your machines are up to the task.
Multi-threading is also now available, and can speed up tasks, giving you a greater chance of being the Prime finder. As an example a 321 task using 8 threads on an i7-7820X took less than 4:15.
Time zone converter:
The World Clock - Time Zone Converter
NOTE: The countdown clock on the front page uses the host computer time. Therefore, if your computer time is off, so will the countdown clock. For precise timing, use the UTC Time in the data section to the left of the countdown clock.
Scores will be kept for individuals and teams. Only tasks issued AFTER 3 September 2017 18:00 UTC and received BEFORE 8th September 2017 18:00 UTC will be considered for credit. We will be using the same scoring method as we currently use for BOINC credits. A quorum of 2 is NOT needed to award Challenge score - i.e. no double checker. Therefore, each returned result will earn a Challenge score. Please note that if the result is eventually declared invalid, the score will be removed.
At the Conclusion of the Challenge
About 321 Search
- We kindly ask users "moving on" to ABORT their tasks instead of DETACHING, RESETTING, or PAUSING.
ABORTING tasks allows them to be recycled immediately; thus a much faster "clean up" to the end of an LLR Challenge. DETACHING, RESETTING, and PAUSING tasks causes them to remain in limbo until they EXPIRE. Therefore, we must wait until tasks expire to send them out to be completed.
Please consider either completing what's in the queue or ABORTING them. Thank you.
321 Search began in February 2003 from a post by Paul Underwood seeking help from interested parties in a prime search attempt of the form 3*2^n-1. The initial goal was to build upon the completed work at Proth Search and extend the list of known primes to an exponent of 1 million (n=1M). That was quickly achieved so they advanced their goal to finding a mega prime for which they sieved up to n=5M.
As seen on PrimeGrid's front page, that goal was achieved on 23 Mar 2008, 7:57:28 UTC, when Dylan Bennett of Canada returned a positive result for n=4235414 (3*2^4235414-1). official announcement | decimal representation
PrimeGrid added the +1 form and continues the search up to n=25M.
Primes known for 3*2^n+1 occur at the following n (PrimeGrid's finds in bold & linked):
1, 2, 5, 6, 8, 12, 18, 30, 36, 41, 66, 189, 201, 209, 276, 353, 408, 438, 534, 2208, 2816, 3168, 3189, 3912, 20909, 34350, 42294, 42665, 44685, 48150, 54792, 55182, 59973, 80190, 157169, 213321, 303093, 362765, 382449, 709968, 801978, 916773, 1832496, 2145353, 2291610, 2478785, 5082306, 7033641, 10829346
Primes known for 3*2^n-1 occur at the following n (PrimeGrid's finds in bold & linked):
1, 2, 3, 4, 6, 7, 11, 18, 34, 38, 43, 55, 64, 76, 94, 103, 143, 206, 216, 306, 324, 391, 458, 470, 827, 1274, 3276, 4204, 5134, 7559, 12676, 14898, 18123, 18819, 25690, 26459, 41628, 51387, 71783, 80330, 85687, 88171, 97063, 123630, 155930, 164987, 234760, 414840, 584995, 702038, 727699, 992700, 1201046, 1232255, 2312734, 3136255, 4235414, 6090515, 11484018, 11731850, 11895718
What is LLR?
The Lucas-Lehmer-Riesel (LLR) test is a primality test for numbers of the form N = k*2^n − 1, with 2^n > k. Also, LLR is a program developed by Jean Penne that can run the LLR-tests. It includes the Proth test to perform +1 tests and PRP to test non base 2 numbers. See also:
Ein paar Auszüge aus der Ankündigung auf deutsch:
Die Challenge wird anläßlich der Number Theory Week gehalten.
Um teilzunehmen, wählt nur das Subprojekt 321 Prime Search (LLR) in den PrimeGrid Präferenzen aus. Die Challenge wird am 3. September 2017 18:00 UTC beginnen und am 8. September 2017 18:00 UTC enden. 18:00 UTC entspricht 20:00 Uhr hiesiger Zeit. Nur Aufgaben, die in diesem Zeitraum gezogen und wieder abgegeben werden, gehen in die Wertung ein.
Das PrimeGrid Projekt empfiehlt nachdrücklich, sicherzustellen, daß die im Rennen verwendete Hardware den hohen Ansprüchen genügt, die die optimierte Anwendung an sie stellt.
Applikationen gibt es für Win32, Win64, Linux32, Linux 64 und MacIntel. Es gibt die Möglichkeit, multi-threaded zu rechnen. Die Applikation, die in der app_config.xml eingetragen werden muß, heißt llr321.
Wer die verbleibenden Aufgaben am Ende der Challenge nicht mehr weiterrechnen möchte, wird gebeten, diese abzubrechen, damit sie schnell wieder in den Kreislauf gegeben werden können, was der frühen Feststellung des Endergebnisses dient.
Ich bin natürlich dabei, und ich rechne stark mit einem m3m0r1x, der mir weit wegläuft.
Wie immer gehen die ersten 300 Plazierungen in die Jahreswertung ein!