1809 · 21037973 + 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:1809 · 21037973 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L2734 : Mamonov, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:312465   (log10 is 312464.2651279)
Rank (*):16960 (digit rank is 1)
Entrance Rank (*):2364
Currently on list? (*):no
Submitted:2/8/2013 17:49:15 CDT
Last modified:2/8/2013 18:50:26 CDT
Removed (*):10/12/2013 18:44:47 CDT
Database id:111165
Status Flags:none
Score (*):43.0605 (normalized score 0.251)

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_id111165
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 1809 2 1037973 1 2>&1 [Elapsed time: 11.374 seconds]
modified2020-07-07 17:30:23
created2013-02-08 17:52:02
id152601

fieldvalue
prime_id111165
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/pfgw -t -q"1809*2^1037973+1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 1809*2^1037973+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 11 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 1809*2^1037973+1 is prime! (2511.7461s+0.0008s) [Elapsed time: 41.87 minutes]
modified2020-07-07 17:30:23
created2013-02-08 17:58:15
id152602

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.