
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:  6753^{5122} + 5122^{6753} 
Verification status (*):  PRP 
Official Comment:  ECPP 
Unofficial Comments:  This prime has 2 user comments below. 
Proofcode(s): (*):  FE1 : Morain, FastECPP 
Decimal Digits:  25050 (log_{10} is 25049.845444116) 
Rank (*):  63303 (digit rank is 1) 
Entrance Rank (*):  37494 
Currently on list? (*):  short 
Submitted:  10/15/2010 
Last modified:  2/19/2012 18:50:29 CDT 
Database id:  104822 
Status Flags:  Verify 
Score (*):  35.2824 (normalized score 0.0001) 

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: yes, rank 10
Subcategory: "ECPP"
(archival tag id 214047, tag last modified 20190216 16:50:05)
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  104822 
person_id  9 
machine  Ditto P4 P4 
what  prp 
notes  Command: /home/ditto/client/pfgw tc q"6753^5122+5122^6753" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 6753^5122+5122^6753 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 19 Running N+1 test using discriminant 37, base 14+sqrt(37) Calling N1 BLS with factored part 0.04% and helper 0.00% (0.13% proof) 6753^5122+5122^6753 is Fermat and Lucas PRP! (239.2453s+0.0015s) [Elapsed time: 3.98 minutes]

modified  20120219 19:07:47 
created  20120219 18:33:20 
id  139234 

field  value 
prime_id  104822 
person_id  9 
machine  Ditto P4 P4 
what  trial_divided 
notes  Command: /home/ditto/client/pfgw o f q"6753^5122+5122^6753" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] 6753^5122+5122^6753 1/1 mro=0
trial factoring to 7732622 6753^5122+5122^6753 has no small factor. [Elapsed time: 21.454 seconds]

modified  20120219 19:07:47 
created  20120219 18:35:02 
id  139235 

Query times: 0.0005 seconds to select prime, 0.0008 seconds to seek comments.
