88444 · 52799269 - 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:88444 · 52799269 - 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L3523 : Brown1, Srsieve, PrimeGrid, SierpinskiRiesel, LLR
Decimal Digits:1956611   (log10 is 1956610.0117361)
Rank (*):351 (digit rank is 1)
Entrance Rank (*):63
Currently on list? (*):short
Submitted:6/21/2019 16:56:22 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:126564
Status Flags:none
Score (*):48.6914 (normalized score 36.9767)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

PrimeGrid writes (28 Jun 2019):  (report abuse)
For more information, please see the official announcement.

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_id126564
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/pfgw/pfgw64 -tp -q"88444*5^2799269-1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 88444*5^2799269-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 2, base 1+sqrt(2) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 88444*5^2799269-1 is prime! (121853.5574s+0.0961s) [Elapsed time: 33.85 hours]
modified2020-07-07 22:30:13
created2019-06-21 17:01:01
id172250

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