
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:  primU(43653) 
Verification status (*):  PRP 
Official Comment:  Fibonacci primitive part 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  CH7 : Broadhurst, OpenPFGW, CHG 
Decimal Digits:  6082 (log_{10} is 6081.6572765592) 
Rank (*):  79726 (digit rank is 1) 
Entrance Rank (*):  51221 
Currently on list? (*):  short 
Submitted:  5/25/2010 14:21:14 CDT 
Last modified:  5/25/2010 14:50:30 CDT 
Database id:  92848 
Status Flags:  Verify 
Score (*):  30.8974 (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.
 Fibonacci Primitive Part (archivable *)
 Prime on list: yes, rank 16
Subcategory: "Fibonacci Primitive Part"
(archival tag id 210695, tag last modified 20180722 00:50:24)
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  92848 
person_id  9 
machine  Ditto P4 P4 
what  trial_divided 
notes  PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] 4542307792...7522069599.........0310094773181374 1/1
trial factoring to 1677104 4542307792...4727626501 has no small factor. [Elapsed time: 4.174 seconds]

modified  20111227 16:48:39 
created  20100525 14:35:01 
id  115079 

field  value 
prime_id  92848 
person_id  9 
machine  RedHat P4 P4 
what  prp 
notes  PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 4542307792...4727626501 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 2 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(2560,21) to FFT(2560,20) Reduced from FFT(2560,20) to FFT(2560,19) Reduced from FFT(2560,19) to FFT(2560,18) Reduced from FFT(2560,18) to FFT(2560,17) Reduced from FFT(2560,17) to FFT(2560,16) 40414 bit request FFT size=(2560,16) Running N1 test using base 19 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(2560,21) to FFT(2560,20) Reduced from FFT(2560,20) to FFT(2560,19) Reduced from FFT(2560,19) to FFT(2560,18) Reduced from FFT(2560,18) to FFT(2560,17) Reduced from FFT(2560,17) to FFT(2560,16) 40414 bit request FFT size=(2560,16) Running N+1 test using discriminant 29, base 10+sqrt(29) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(2560,21) to FFT(2560,20) Reduced from FFT(2560,20) to FFT(2560,19) Reduced from FFT(2560,19) to FFT(2560,18) Reduced from FFT(2560,18) to FFT(2560,17) Reduced from FFT(2560,17) to FFT(2560,16) 40422 bit request FFT size=(2560,16) Calling N1 BLS with factored part 1.79% and helper 0.00% (5.38% proof) 4542307792...4727626501 is Fermat and Lucas PRP! (22.1900s+0.0000s) [Elapsed time: 23.00 seconds]

modified  20100525 14:23:24 
created  20100525 14:23:01 
id  115077 

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