173198 · 51457792 - 1
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At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: 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:

field (help)value
Description:173198 · 51457792 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L3720 : Ohno, Srsieve, PrimeGrid, LLR
Decimal Digits:1018959   (log10 is 1018958.11910389)
Rank (*):158 (digit rank is 1)
Entrance Rank (*):67
Currently on list? (*):short
Submitted:12/6/2013 08:17:25 CDT
Last modified:12/9/2013 09:50:55 CDT
Database id:116553
Status Flags:TrialDiv
Score (*):46.6906 (normalized score 19.3363)

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_id116553
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/pfgw -tp -q"173198*5^1457792-1" 2>&1
PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
Primality testing 173198*5^1457792-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
173198*5^1457792-1 is prime! (263219.4904s+0.1298s)
[Elapsed time: 3.05 days]
modified2014-04-01 17:37:40
created2013-12-06 08:23:01
id162061

Query times: 0.0004 seconds to select prime, 0.0008 seconds to seek comments.