6679881 · 26679881 + 1
At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important PrimePages database: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.
This prime's information:
|Description:||6679881 · 26679881 + 1|
|Verification status (*):||External|
|Official Comment (*):||Cullen|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||L917 : Bergman1, Gcwsieve, MultiSieve, PrimeGrid, LLR|
|Decimal Digits:||2010852 (log10 is 2010851.3732346)|
|Rank (*):||199 (digit rank is 1)|
|Entrance Rank (*):||15|
|Currently on list? (*):||short|
|Submitted:||8/4/2009 21:37:30 CDT|
|Last modified:||8/4/2009 22:42:38 CDT|
|Score (*):||48.7752 (normalized score 62.9485)|
There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper. Such primes are tracked with archival tags.
User comments about this prime (disclaimer):
User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.
The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions. We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.
field value prime_id 89536 person_id 9 machine External what prime notes Notes from PrimeGrid: Hardware: LLR 3.7.1c: Intel(R) Xeon(R) CPU L5420 @ 2.50GHz running Microsoft Windows XP Professional x64 Edition run time: 259,106.72 seconds LLR 3.7.1c: Intel(R) Core(TM)2 Duo CPU E6750 @ 2.66GHz running Microsoft Windows XP Professional x86 Edition run time: 121,878.88 seconds As with all primes from PrimeGrid, we require two (2) matching LLR results before primality is proven. A third primality test was run using the following: PFGW 3.2: Intel(R) Core(TM)2 Extreme CPU Q6850 @ 3.00GHz running Ubuntu 7.10 Primality testing 6679881*2^6679881+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 6679881*2^6679881+1 is prime! (120687.9084s+0.0485s) modified 2020-07-07 17:30:37 created 2009-08-04 21:38:01 id 108442
field value prime_id 89536 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 6679881 2 6679881 1 2>&1 [Elapsed time: 14.014 seconds] modified 2020-07-07 17:30:37 created 2009-08-04 21:48:02 id 108443