9625 · 2595214 + 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:9625 · 2595214 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1492 : Eiterig, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:179182   (log10 is 179181.25123988)
Rank (*):33193 (digit rank is 1)
Entrance Rank (*):4965
Currently on list? (*):no
Submitted:12/24/2010 15:27:13 CDT
Last modified:12/24/2010 16:20:42 CDT
Removed (*):12/25/2010 00:53:01 CDT
Database id:97072
Status Flags:none
Score (*):41.3501 (normalized score 0.0389)

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 9625 2 595214 1 2>&1 [Elapsed time: 9.723 seconds]
modified2020-07-07 17:30:32
created2010-12-24 15:35:31

machineRedHat Virtual STEM Server
notesCommand: /home/caldwell/client/pfgw -t -q"9625*2^595214+1" 2>&1 PFGW Version [GWNUM 25.14] Primality testing 9625*2^595214+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 9625*2^595214+1 is prime! (450.6558s+0.0006s) [Elapsed time: 7.52 minutes]
modified2020-07-07 17:30:32
created2010-12-24 16:04:01

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