1851414500295 · 21290000 - 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:||1851414500295 · 21290000 - 1|
|Verification status (*):||Proven|
|Official Comment (*):||Arithmetic progression (2,d=683912203455*2^1290001) [p199]|
|Proof-code(s): (*):||L3203 : Scalise, TwinGen, PrimeGrid, LLR|
|Decimal Digits:||388341 (log10 is 388340.9619102)|
|Rank (*):||12782 (digit rank is 146)|
|Entrance Rank (*):||2618|
|Currently on list? (*):||no|
|Submitted:||2/18/2015 11:57:33 CDT|
|Last modified:||10/2/2015 06:50:03 CDT|
|Score (*):||43.7286 (normalized score 0.405)|
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.
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 119361 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prime notes Command: /home/caldwell/client/llr.pl 1851414500295*2^1290000-1 2>&1 Starting Lucas Lehmer Riesel prime test of 1851414500295*2^1290000-1 Using zero-padded AVX FFT length 128K, Pass1=128, Pass2=1K V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done.Starting Lucas-Lehmer loop... 1851414500295*2^1290000-1 is prime! (388341 decimal digits) Time : 778.371 sec. [Elapsed time: 12.98 minutes] modified 2020-07-07 17:30:17 created 2015-02-18 14:19:52 id 164971