
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:  U(12924,  12925, 3499) 
Verification status (*):  PRP 
Official Comment:  Generalized Lucas number 
Proofcode(s): (*):  x25 : Water, Broadhurst, Primo, OpenPFGW 
Decimal Digits:  14382 (log_{10} is 14381.7840364776) 
Rank (*):  68337 (digit rank is 1) 
Entrance Rank (*):  23207 
Currently on list? (*):  short 
Submitted:  2/21/2005 04:29:53 CDT 
Last modified:  2/21/2005 04:29:53 CDT 
Database id:  73502 
Status Flags:  Verify 
Score (*):  33.5658 (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.
 Generalized Lucas Number (archivable *)
 Prime on list: yes, rank 14
Subcategory: "Generalized Lucas Number"
(archival tag id 192577, tag last modified 20160502 05:50:25)
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  73502 
person_id  9 
machine  Linux P4 2.8GHz 
what  prp 
notes  Command: /home/caldwell/client/pfgw f tc q"lucasU(12924,12925,3499)" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing lucasU(12924,12925,3499) [N1/N+1, BrillhartLehmerSelfridge] trial factoring to 4253955 Running N1 test using base 2 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(6144,21) to FFT(6144,20) Reduced from FFT(6144,20) to FFT(6144,19) Reduced from FFT(6144,19) to FFT(6144,18) Reduced from FFT(6144,18) to FFT(6144,17) Reduced from FFT(6144,17) to FFT(6144,16) 95560 bit request FFT size=(6144,16) Running N1 test using base 31 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(6144,21) to FFT(6144,20) Reduced from FFT(6144,20) to FFT(6144,19) Reduced from FFT(6144,19) to FFT(6144,18) Reduced from FFT(6144,18) to FFT(6144,17) Reduced from FFT(6144,17) to FFT(6144,16) 95560 bit request FFT size=(6144,16) Running N+1 test using discriminant 43, base 1+sqrt(43) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(6144,21) to FFT(6144,20) Reduced from FFT(6144,20) to FFT(6144,19) Reduced from FFT(6144,19) to FFT(6144,18) Reduced from FFT(6144,18) to FFT(6144,17) Reduced from FFT(6144,17) to FFT(6144,16) 95568 bit request FFT size=(6144,16) Calling N1 BLS with factored part 0.71% and helper 0.00% (2.14% proof) lucasU(12924,12925,3499) is Fermat and Lucas PRP! (732.4227s+0.0487s)

modified  20050329 11:22:33 
created  20050221 07:19:44 
id  78518 

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