119878 · 51019645 - 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.

This prime's information:

Description:119878 · 51019645 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L3528 : Batalov, Srsieve, PrimeGrid, SierpinskiRiesel, LLR
Decimal Digits:712707   (log10 is 712706.34881069)
Rank (*):3906 (digit rank is 1)
Entrance Rank (*):151
Currently on list? (*):yes
Submitted:6/3/2013 08:53:13 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:114317
Status Flags:Verify
Score (*):45.5935 (normalized score 1.8872)

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_id114317
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 119878 5 1019645 -1 2>&1 [Elapsed time: 10.631 seconds]
modified2020-07-07 22:30:19
created2013-06-03 09:05:01
id159010

fieldvalue
prime_id114317
person_id9
machineWinXP Dual Core 2.6GHz 64-bit Laptop
whatprime
notesTesting 119878*5^1019645-1 (712707 digits) prime (23654 seconds)
modified2020-07-07 22:30:19
created2013-06-04 01:42:39
id159023

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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