
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:
field (help)  value 
Description:  2 · 467^{126775} + 1 
Verification status (*):  Proven 
Official Comment:  Divides Phi(467^126775,2) 
Unofficial Comments:  This prime has 2 user comments below. 
Proofcode(s): (*):  g425 : Buechel, Keller, Broadhurst, PRP, OpenPFGW, Proth.exe 
Decimal Digits:  338403 (log_{10} is 338402.94856376) 
Rank (*):  10851 (digit rank is 1) 
Entrance Rank (*):  342 
Currently on list? (*):  short 
Submitted:  1/29/2011 06:41:02 CDT 
Last modified:  1/29/2011 07:50:22 CDT 
Database id:  97818 
Status Flags:  none 
Score (*):  43.3056 (normalized score 0.6353) 

Archival tags:
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.
 Divides Phi (archivable *)
 Prime on list: yes, rank 19
Subcategory: "Divides Phi"
(archival tag id 213114, tag last modified 20170627 10:50:20)
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.
Verification data:
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  97818 
person_id  9 
machine  RedHat P4 P4 
what  trial_divided 
notes  Command: /home/caldwell/client/TrialDiv/TrialDiv q 2 467 126775 1 2>&1 [Elapsed time: 9.162 seconds]

modified  20111227 16:48:35 
created  20110129 06:48:01 
id  125025 

field  value 
prime_id  97818 
person_id  9 
machine  RedHat Virtual STEM Server 
what  prime 
notes  Command: /home/caldwell/client/pfgw t q"2*467^126775+1" 2>&1 PFGW Version 3.3.4.20100405.x86_Stable [GWNUM 25.14] Primality testing 2*467^126775+1 [N1, BrillhartLehmerSelfridge] Running N1 test using base 5 Calling BrillhartLehmerSelfridge with factored part 100.00% 2*467^126775+1 is prime! (1998.5681s+0.0471s) [Elapsed time: 33.30 minutes]

modified  20110325 10:27:31 
created  20110129 06:50:58 
id  125026 

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
