92182 · 51135262 + 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:92182 · 51135262 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L3547 : Ready, Srsieve, PrimeGrid, LLR
Decimal Digits:793520   (log10 is 793519.04970864)
Rank (*):2246 (digit rank is 1)
Entrance Rank (*):123
Currently on list? (*):yes
Submitted:6/24/2013 19:31:08 CDT
Last modified:6/25/2013 22:20:28 CDT
Database id:114482
Status Flags:none
Score (*):45.9232 (normalized score 3.7777)

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/TrialDiv/TrialDiv -q 92182 5 1135262 1 2>&1 [Elapsed time: 10.410 seconds]
modified2020-07-07 17:30:19
created2013-06-24 19:35:13

machineWinXP Dual Core 2.6GHz 32-bit
notesCommand: pfgw32.exe -t -q"92182*5^1135262+1" 2>&1 PFGW Version [GWNUM 27.8] Primality testing 92182*5^1135262+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 92182*5^1135262+1 is prime! (24524.4414s+0.0824s) [Elapsed time: 24524 seconds]
modified2020-07-07 17:30:19
created2013-06-25 15:11:56

Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.