U(34897)/4599458691503517435329
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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(34897)/4599458691503517435329
Verification status (*):PRP
Official Comment:Fibonacci cofactor, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c8 : Water, Broadhurst, Primo
Decimal Digits:7272   (log10 is 7271.0294900786)
Rank (*):76089 (digit rank is 1)
Entrance Rank (*):67679
Currently on list? (*):short
Submitted:8/14/2013 09:16:23 CDT
Last modified:8/14/2013 10:45:19 CDT
Database id:115075
Status Flags:Verify
Score (*):31.4518 (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 257
Subcategory: "ECPP"
(archival tag id 217212, tag last modified 2017-10-14 12:20:21)
Fibonacci cofactor (archivable *)
Prime on list: yes, rank 13
Subcategory: "Fibonacci cofactor"
(archival tag id 217213, tag last modified 2017-04-14 17:50:17)

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.

David Broadhurst writes (11 Sep 2014): 
certificate

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.
fieldvalue
prime_id115075
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/pfgw -o -f -q"U(34897)/4599458691503517435329" 2>&1
PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
U(34897)/4599458691...3517435329 1/1 mro=0


trial factoring to 2035302
U(34897)/4599458691...3517435329 has no small factor.
[Elapsed time: 74.303 seconds]
modified2013-08-16 09:44:40
created2013-08-14 09:18:03
id160524

fieldvalue
prime_id115075
person_id9
machineWinXP Dual Core 2.6GHz 64-bit Laptop
whatprp
notesCommand: pfgw64.exe -tc -q"U(34897)/4599458691503517435329" 2>&1
PFGW Version 3.7.3.64BIT.20130210.Win_Dev [GWNUM 27.8]
Primality testing U(34897)/4599458691...3517435329 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 17, base 10+sqrt(17)
Calling N+1 BLS with factored part 0.12% and helper 0.09% (0.46% proof)
U(34897)/4599458691...3517435329 is Fermat and Lucas PRP! (5.5244s+0.0032s)
[Elapsed time: 6 seconds]
modified2013-08-16 09:44:40
created2013-08-14 10:36:27
id160539

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