The hardware and software on this system was updated September 4th.
Please let me know of any problem you encounter.
At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: 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:||38529154785 · 2173250 - 1|
|Verification status (*):||Proven|
|Official Comment:||Twin (p)|
|Proof-code(s): (*):||L3494 : Batalov, NewPGen, LLR|
|Decimal Digits:||52165 (log10 is 52164.032538267)|
|Rank (*):||45755 (digit rank is 2)|
|Entrance Rank (*):||45476|
|Currently on list? (*):||short|
|Submitted:||7/25/2014 01:52:43 CDT|
|Last modified:||7/25/2014 02:21:43 CDT|
|Score (*):||37.5478 (normalized score 0.0027)|
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
- Twin Primes (archivable *)
- Prime on list: yes, rank 4
Subcategory: "Twin (p)"
(archival tag id 217767, tag last modified 2014-07-25 02:21:47)
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.
|machine||Xeon 4c+4c 3.5GHz|
|notes||Command: /home/caldwell/client/llr.pl 38529154785*2^173250-1 2>&1|
Starting Lucas Lehmer Riesel prime test of 38529154785*2^173250-1
Using zero-padded AVX FFT length 18K, Pass1=384, Pass2=48
V1 = 5 ; Computing U0...
V1 = 5 ; Computing U0...done.Starting Lucas-Lehmer loop...
38529154785*2^173250-1 is prime! (52165 decimal digits) Time : 15.068 sec.
[Elapsed time: 15.00 seconds]
Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.