292402 · 159292402 + 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.

Description:292402 · 159292402 + 1
Verification status (*):Proven
Official Comment (*):Generalized Cullen
Proof-code(s): (*):g407 : HermleGC, MultiSieve, PRP, Proth.exe
Decimal Digits:643699   (log10 is 643698.38792589)
Rank (*):1869 (digit rank is 1)
Entrance Rank (*):143
Currently on list? (*):short
Submitted:11/6/2012 07:52:01 CDT
Last modified:11/6/2012 12:50:25 CDT
Database id:110055
Status Flags:none
Score (*):45.2809 (normalized score 2.8346)

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.
Generalized Cullen (archivable *)
Prime on list: yes, rank 12
Subcategory: "Generalized Cullen"
(archival tag id 214681, tag last modified 2019-09-04 15:50:26)

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.
machineRedHat Virtual STEM Server
notesCommand: /home/caldwell/client/pfgw -t -q"292402*159^292402+1" 2>&1 PFGW Version [GWNUM 25.14] Primality testing 292402*159^292402+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Calling Brillhart-Lehmer-Selfridge with factored part 78.33% 292402*159^292402+1 is prime! (17706.7718s+0.1176s) [Elapsed time: 4.92 hours]
modified2020-07-07 17:30:23
created2012-11-06 07:52:52

machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 292402 159 292402 1 2>&1 [Elapsed time: 9.148 seconds]
modified2020-07-07 17:30:23
created2012-11-06 08:05:01

Query times: 0.0015 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.