684 · 101127118 + 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:684 · 101127118 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L4036 : Domanov1, PSieve, Srsieve, CRUS, LLR
Decimal Digits:1127121   (log10 is 1127120.8350561)
Rank (*):143 (digit rank is 1)
Entrance Rank (*):140
Currently on list? (*):short
Submitted:9/11/2017 16:17:49 CDT
Last modified:9/11/2017 18:50:22 CDT
Database id:123887
Status Flags:TrialDiv
Score (*):47.0001 (normalized score 26.1688)

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_id123887
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -t -q"684*10^1127118+1" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing 684*10^1127118+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Calling Brillhart-Lehmer-Selfridge with factored part 69.90%


684*10^1127118+1 is prime! (6562.5471s+0.0088s)
[Elapsed time: 1.82 hours]
modified2017-09-11 18:22:24
created2017-09-11 16:33:01
id169548

Query times: 0.0001 seconds to select prime, 0.0002 seconds to seek comments.