10205030 + 7047407 · 10102512 + 1
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

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:10205030 + 7047407 · 10102512 + 1
Verification status (*):Proven
Official Comment:Palindrome
Proof-code(s): (*):D : Dubner, Cruncher
Decimal Digits:205031   (log10 is 205030)
Rank (*):23375 (digit rank is 1)
Entrance Rank (*):4769
Currently on list? (*):no
Submitted:11/27/2011 11:04:57 CDT
Last modified:11/27/2011 13:20:25 CDT
Database id:103397
Status Flags:none
Score (*):41.7647 (normalized score 0.1014)

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.
Palindrome (archivable *)
Prime on list: no, rank 29
Subcategory: "Palindrome"
(archival tag id 213733, tag last modified 2016-01-10 02:20:35)

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/pfgw -o -f -q"10^205030+7047407*10^102512+1" 2>&1
PFGW Version [GWNUM 26.5]
10^205030+7047407*10^102512+1 1/1 mro=0

trial factoring to 73314037
10^205030+7047407*10^102512+1 has no small factor.
[Elapsed time: 1326.269 seconds]
modified2011-12-27 16:48:25
created2011-11-27 11:05:01

machineRedHat Virtual STEM Server
notesCommand: /home/caldwell/client/pfgw -t -q"10^205030+7047407*10^102512+1" 2>&1
PFGW Version [GWNUM 25.14]
Primality testing 10^205030+7047407*10^102512+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N-1 test using base 13
Calling Brillhart-Lehmer-Selfridge with factored part 34.95%

10^205030+7047407*10^102512+1 is prime! (6337.2414s+0.0491s)
[Elapsed time: 1.76 hours]
modified2011-12-27 16:48:25
created2011-11-27 11:10:53

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.