
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:  (245363571 · 2^{35426}  3)/(116848103610549 · 953666301013 · 43440278284896679) 
Verification status (*):  PRP 
Official Comment:  ECPP 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  c54 : Wu_T, Primo 
Decimal Digits:  10630 (log_{10} is 10629.993525772) 
Rank (*):  73174 (digit rank is 1) 
Entrance Rank (*):  56954 
Currently on list? (*):  no 
Submitted:  2/29/2012 01:43:23 CDT 
Last modified:  2/29/2012 02:20:41 CDT 
Database id:  105231 
Status Flags:  Verify 
Score (*):  32.6294 (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.
 Elliptic Curve Primality Proof (archivable *)
 Prime on list: no, rank 136
Subcategory: "ECPP"
(archival tag id 214193, tag last modified 20180630 01:50:26)
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  105231 
person_id  9 
machine  RedHat P4 P4 
what  trial_divided 
notes  Command: /home/caldwell/client/pfgw o f q"(245363571*2^354263)/(116848103610549*953666301013*43440278284896679)" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] (245363571*2^354....440278284896679) 1/1 mro=0
trial factoring to 3069516 (245363571*2^354263)/(116848103610549*953666301013*43440278284896679) has no small factor. [Elapsed time: 3.020 seconds]

modified  20120716 11:33:02 
created  20120229 01:48:02 
id  140051 

field  value 
prime_id  105231 
person_id  9 
machine  RedHat P4 P4 
what  prp 
notes  Command: /home/caldwell/client/pfgw tc q"(245363571*2^354263)/(116848103610549*953666301013*43440278284896679)" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing (245363571*2^354263)/(116848103610549*953666301013*43440278284896679) [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 2 Running N+1 test using discriminant 5, base 1+sqrt(5) Calling N+1 BLS with factored part 0.12% and helper 0.07% (0.43% proof) (245363571*2^354263)/(116848103610549*953666301013*43440278284896679) is Fermat and Lucas PRP! (45.0872s+0.0284s) [Elapsed time: 45.00 seconds]

modified  20120716 11:33:02 
created  20120229 01:53:01 
id  140052 

Query times: 0.0008 seconds to select prime, 0.0007 seconds to seek comments.
