229727 + 20273
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The hardware and software on this system was updated September 4th.  Please let me know of any problem you encounter. <caldwell@utm.edu>

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:229727 + 20273
Verification status (*):PRP
Official Comment:ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c18 : Luhn, Primo
Decimal Digits:8949   (log10 is 8948.7186811032)
Rank (*):68855 (digit rank is 1)
Entrance Rank (*):43814
Currently on list? (*):no
Submitted:7/28/2009 22:47:16 CDT
Last modified:7/28/2009 23:20:22 CDT
Database id:89447
Status Flags:Verify
Score (*):32.0957 (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 120
Subcategory: "ECPP"
(archival tag id 210480, tag last modified 2014-09-17 12:50:31)

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_id89447
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 1 2 29727 20273 2>&1
[Elapsed time: 8.526 seconds]
modified2011-12-27 16:48:43
created2009-07-28 22:48:01
id108262

fieldvalue
prime_id89447
person_id9
machineRedHat P4 P4
whatprp
notesCommand: /home/caldwell/client/pfgw -tc -q"2^29727+20273" 2>&1
PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4]
Primality testing 2^29727+20273 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Using SSE2 FFT
Adjusting authentication level by 1 for PRIMALITY PROOF
Reduced from FFT(3584,21) to FFT(3584,20)
Reduced from FFT(3584,20) to FFT(3584,19)
Reduced from FFT(3584,19) to FFT(3584,18)
Reduced from FFT(3584,18) to FFT(3584,17)
59464 bit request FFT size=(3584,17)
Running N+1 test using discriminant 19, base 9+sqrt(19)
Using SSE2 FFT
Adjusting authentication level by 1 for PRIMALITY PROOF
Reduced from FFT(3584,21) to FFT(3584,20)
Reduced from FFT(3584,20) to FFT(3584,19)
Reduced from FFT(3584,19) to FFT(3584,18)
Reduced from FFT(3584,18) to FFT(3584,17)
59472 bit request FFT size=(3584,17)
Calling N+1 BLS with factored part 0.08% and helper 0.07% (0.30% proof)
2^29727+20273 is Fermat and Lucas PRP! (45.4350s+0.1018s)
[Elapsed time: 46.00 seconds]
modified2009-08-11 11:44:22
created2009-07-28 22:53:01
id108263

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.