
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:  2968802755 · 2459# + 1 
Verification status (*):  Proven 
Official Comment:  Arithmetic progression (8,d=359463429*2459#) 
Proofcode(s): (*):  p155 : DavisK, NewPGen, OpenPFGW 
Decimal Digits:  1057 (log_{10} is 1056.1935088357) 
Rank (*):  117693 (digit rank is 48) 
Entrance Rank (*):  78841 
Currently on list? (*):  short 
Submitted:  4/20/2009 21:52:36 CDT 
Last modified:  4/20/2009 22:25:13 CDT 
Database id:  87789 
Status Flags:  none 
Score (*):  25.443 (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: yes, rank 3, weight 48.1577209595356
Subcategory: "Arithmetic progression (8,d=*)"
(archival tag id 208979, tag last modified 20190811 02:50:12)
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  87789 
person_id  9 
machine  Ditto P4 P4 
what  trial_divided 
notes  Command: /home/ditto/client/TrialDiv/TrialDiv q 2968802755 2459 # 1 2>&1 [Elapsed time: 150.101 seconds]

modified  20111227 16:48:44 
created  20090420 22:22:42 
id  104935 

field  value 
prime_id  87789 
person_id  9 
machine  Ditto P4 P4 
what  prime 
notes  Command: /home/ditto/client/pfgw t q"2968802755*2459#+1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 2968802755*2459#+1 [N1, BrillhartLehmerSelfridge] Running N1 test using base 2 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(448,22) to FFT(448,21) Reduced from FFT(448,21) to FFT(448,20) Reduced from FFT(448,20) to FFT(448,19) Reduced from FFT(448,19) to FFT(448,18) Reduced from FFT(448,18) to FFT(448,17) Reduced from FFT(448,17) to FFT(448,16) 7026 bit request FFT size=(448,16) Calling BrillhartLehmerSelfridge with factored part 33.44% 2968802755*2459#+1 is prime! (3.0866s+0.0005s) [Elapsed time: 3.00 seconds]

modified  20090525 07:25:56 
created  20090420 22:08:42 
id  104929 

Query times: 0.0005 seconds to select prime, 0.0006 seconds to seek comments.
