804003525 · 2336113 - 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly.  This list is the most important PrimePages database: 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:

Description:804003525 · 2336113 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L168 : Rajh, Rieselprime, LLR
Decimal Digits:101190   (log10 is 101189.00019056)
Rank (*):48217 (digit rank is 1)
Entrance Rank (*):1802
Currently on list? (*):no
Submitted:3/23/2006 00:06:59 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):6/16/2008 05:09:15 UTC
Database id:77370
Status Flags:none
Score (*):39.5907 (normalized score 0.0045)

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_id77370
person_id9
machineWinXP P4 2.2GHz
whatprime
notesCommand: pfgw.exe -n -f -tp -q"804003525*2^336113-1" 2>&1 PFGW Version 1.2.0 for Windows [FFT v23.8] Primality testing 804003525*2^336113-1 [N+1, Brillhart-Lehmer-Selfridge] trial factoring to 34521259 Running N+1 test using discriminant 7, base 1+sqrt(7) Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 804003525*2^336113-1 is prime! (5270.5830s+0.0366s) [Elapsed time: 5270 seconds]
modified2020-07-07 22:30:42
created2006-03-25 17:39:50
id83750

fieldvalue
prime_id77370
person_id9
machineLinux P4 2.8GHz
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 804003525 2 336113 -1 2>&1 [Elapsed time: 16.466 seconds]
modified2020-07-07 22:30:42
created2006-03-25 17:52:05
id83753

Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.
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