
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:  9 · 10^{107663}  1 
Verification status (*):  Proven 
Official Comment:  Nearrepdigit 
Proofcode(s): (*):  p122 : Sun, NewPGen, PRP, OpenPFGW 
Decimal Digits:  107664 (log_{10} is 107663.954242509) 
Rank (*):  39676 (digit rank is 1) 
Entrance Rank (*):  295 
Currently on list? (*):  no 
Submitted:  1/21/2004 10:00:28 CDT 
Last modified:  1/21/2004 10:00:28 CDT 
Database id:  68467 
Status Flags:  none 
Score (*):  39.7817 (normalized score 0.0135) 

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.
 Nearrepdigit (archivable *)
 Prime on list: no, rank 96
Subcategory: "Nearrepdigit"
(archival tag id 211058, tag last modified 20190414 05:20:23)
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  68467 
person_id  9 
machine  Linux P4 2.8GHz 
what  prime 
notes  Command: /home/caldwell/client/pfgw f tp q"9*10^1076631" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 9*10^1076631 [N+1, BrillhartLehmerSelfridge] trial factoring to 36885479 Running N+1 test using discriminant 7, base 1+sqrt(7) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(49152,20) to FFT(49152,19) Reduced from FFT(49152,19) to FFT(49152,18) Reduced from FFT(49152,18) to FFT(49152,17) Reduced from FFT(49152,17) to FFT(49152,16) 715320 bit request FFT size=(49152,16) Running N+1 test using discriminant 7, base 2+sqrt(7) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(49152,20) to FFT(49152,19) Reduced from FFT(49152,19) to FFT(49152,18) Reduced from FFT(49152,18) to FFT(49152,17) Reduced from FFT(49152,17) to FFT(49152,16) 715320 bit request FFT size=(49152,16) Calling BrillhartLehmerSelfridge with factored part 69.90% 9*10^1076631 is prime! (24806.2021s+0.0126s)

modified  20040304 09:24:08 
created  20040121 17:25:06 
id  73420 

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
