
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:  833000864 · 3011# + 1 
Verification status (*):  Proven 
Official Comment:  Arithmetic progression (7,d=114858412*3011#) 
Proofcode(s): (*):  p155 : DavisK, NewPGen, OpenPFGW 
Decimal Digits:  1290 (log_{10} is 1289.38404688) 
Rank (*):  100228 (digit rank is 9) 
Entrance Rank (*):  56933 
Currently on list? (*):  no 
Submitted:  2/18/2006 01:29:24 CDT 
Last modified:  2/18/2006 01:56:05 CDT 
Database id:  77093 
Status Flags:  none 
Score (*):  26.0667 (normalized score 0) 

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.
 Arithmetic Progressions of Primes (archivable class *)
 Prime on list: no, rank 6, weight 45.8738135396193
Subcategory: "Arithmetic progression (7,d=*)"
(archival tag id 184738, tag last modified 20171008 23:50:16)
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  77093 
person_id  9 
machine  Linux P4 2.8GHz 
what  prime 
notes  Command: /home/caldwell/client/pfgw t q"833000864*3011#+1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 833000864*3011#+1 [N1, BrillhartLehmerSelfridge] Running N1 test using base 3019 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(512,22) to FFT(512,21) Reduced from FFT(512,21) to FFT(512,20) Reduced from FFT(512,20) to FFT(512,19) Reduced from FFT(512,19) to FFT(512,18) Reduced from FFT(512,18) to FFT(512,17) 8576 bit request FFT size=(512,17) Calling BrillhartLehmerSelfridge with factored part 33.50% 833000864*3011#+1 is prime! (4.1562s+0.0733s) [Elapsed time: 5 seconds]

modified  20060310 10:52:00 
created  20060218 01:53:02 
id  83168 

field  value 
prime_id  77093 
person_id  9 
machine  Linux P4 2.8GHz 
what  trial_divided 
notes  Command: /home/caldwell/client/TrialDiv/TrialDiv q 833000864 3011 # 1 2>&1 [Elapsed time: 244.633 seconds]

modified  20060218 01:56:05 
created  20060218 01:52:01 
id  83167 

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