
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 · 107^{48043} + 1 
Verification status (*):  Proven 
Official Comment:  Divides Phi(107^48042,2) 
Proofcode(s): (*):  gb1 : Buechel, Keller, PRP, Proth.exe 
Decimal Digits:  97498 (log_{10} is 97497.9858613262) 
Rank (*):  41961 (digit rank is 1) 
Entrance Rank (*):  550 
Currently on list? (*):  no 
Submitted:  4/15/2004 16:30:31 CDT 
Last modified:  4/15/2004 16:30:31 CDT 
Database id:  69908 
Status Flags:  none 
Score (*):  39.4762 (normalized score 0.0142) 

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: no, rank 65
Subcategory: "Divides Phi"
(archival tag id 188343, tag last modified 20150304 06:50:26)
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  69908 
person_id  9 
machine  Linux P4 2.8GHz 
what  prime 
notes  Command: /home/caldwell/client/pfgw f t q"2*107^48043+1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 2*107^48043+1 [N1, BrillhartLehmerSelfridge] trial factoring to 33177831 Running N1 test using base 5 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(40960,20) to FFT(40960,19) Reduced from FFT(40960,19) to FFT(40960,18) Reduced from FFT(40960,18) to FFT(40960,17) Reduced from FFT(40960,17) to FFT(40960,16) 647772 bit request FFT size=(40960,16) Calling BrillhartLehmerSelfridge with factored part 100.00% 2*107^48043+1 is prime! (3400.0280s+0.0474s)

modified  20040805 12:46:56 
created  20040415 16:46:10 
id  74864 

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.
