
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:  Phi(285,  26371^{24})/13082397832081 
Verification status (*):  PRP 
Official Comment:  ECPP 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  c54 : Wu_T, Primo 
Decimal Digits:  15267 (log_{10} is 15266.29683791) 
Rank (*):  67684 (digit rank is 1) 
Entrance Rank (*):  51165 
Currently on list? (*):  no 
Submitted:  2/16/2012 01:33:34 CDT 
Last modified:  2/16/2012 01:50:31 CDT 
Database id:  104671 
Status Flags:  Verify 
Score (*):  33.7505 (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 50
Subcategory: "ECPP"
(archival tag id 214044, tag last modified 20180413 14:26:58)
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  104671 
person_id  9 
machine  Ditto P4 P4 
what  trial_divided 
notes  Command: /home/ditto/client/pfgw o f q"Phi(285,26371^24)/13082397832081" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Phi(285,26371^24)/13082397832081 1/1 mro=0
trial factoring to 4536744 Phi(285,26371^24)/13082397832081 has no small factor. [Elapsed time: 6.045 seconds]

modified  20120219 19:07:47 
created  20120216 01:35:01 
id  138932 

field  value 
prime_id  104671 
person_id  9 
machine  Ditto P4 P4 
what  prp 
notes  Command: /home/ditto/client/pfgw tc q"Phi(285,26371^24)/13082397832081" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing Phi(285,26371^24)/13082397832081 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 11 Running N+1 test using discriminant 17, base 2+sqrt(17) Calling N+1 BLS with factored part 0.05% and helper 0.05% (0.21% proof) Phi(285,26371^24)/13082397832081 is Fermat and Lucas PRP! (91.3547s+0.0294s) [Elapsed time: 1.53 minutes]

modified  20120219 19:07:47 
created  20120216 01:38:01 
id  138934 

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
