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:||7068555 · 2121301 - 1|
|Verification status (*):||Proven|
|Official Comment:||Sophie Germain (p)|
|Proof-code(s): (*):||L100 : Minovic, TwinGen, LLR|
|Decimal Digits:||36523 (log10 is 36522.0888346782)|
|Rank (*):||47159 (digit rank is 2)|
|Entrance Rank (*):||10916|
|Currently on list? (*):||short|
|Submitted:||1/11/2005 07:58:43 CDT|
|Last modified:||1/11/2005 07:58:43 CDT|
|Score (*):||36.4474 (normalized score 0.0016)|
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
- Sophie Germain (p) (archivable *)
- Prime on list: yes, rank 11
Subcategory: "Sophie Germain (p)"
(archival tag id 190743, tag last modified 2012-04-11 10:50:29)
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||Linux P4 2.8GHz|
|notes||Command: /home/caldwell/client/llr.pl 7068555*2^121301-1 2>&1|
Starting Lucas Lehmer Riesel prime test of 7068555*2^121301-1
V1 = 5 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
7068555*2^121301-1 is prime! Time : 106.335 sec.
Query times: 0.0007 seconds to select prime, 0.0005 seconds to seek comments.