191547657 · 2173372 - 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:191547657 · 2173372 - 1
Verification status (*):Proven
Official Comment (*):Twin (p)
Proof-code(s): (*):L5116 : Schoeler, MultiSieve, LLR
Decimal Digits:52199   (log10 is 52198.4546851)
Rank (*):60960 (digit rank is 5)
Entrance Rank (*):53673
Currently on list? (*):no
Submitted:7/7/2020 17:22:52 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:131005
Status Flags:none
Score (*):37.5498 (normalized score 0.0005)

Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper.  Such primes are tracked with archival tags.
Twin Primes (archivable *)
Prime on list: no, rank 29
Subcategory: "Twin (p)"
(archival tag id 224059, tag last modified 2024-05-06 08:37:28)

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_id131005
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tp -q"191547657*2^173372-1" 2>&1 PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing 191547657*2^173372-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 11, base 1+sqrt(11) Calling Brillhart-Lehmer-Selfridge with factored part 99.98% 191547657*2^173372-1 is prime! (49.4922s+0.0003s) [Elapsed time: 50.00 seconds]
modified2020-07-07 22:30:10
created2020-07-07 17:26:01
id176692

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