126831252923413 · 4657#/273 + 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:126831252923413 · 4657#/273 + 1
Verification status (*):Proven
Official Comment (*):Quintuplet (1)
Proof-code(s): (*):c88 : Kaiser1, PolySieve, Primo
Decimal Digits:2002   (log10 is 2001.0798847637)
Rank (*):108083 (digit rank is 35)
Entrance Rank (*):101001
Currently on list? (*):short
Submitted:11/5/2020 11:50:14 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:131382
Status Flags:none
Score (*):27.4388 (normalized score 0)

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.
Quintuplet (archivable class *)
Prime on list: yes, rank 3
Subcategory: "Quintuplet (1)"
(archival tag id 225708, tag last modified 2023-03-11 15:53:59)

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_id131382
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -t -q"126831252923413*4657#/273+1" 2>&1 PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing 126831252923413*4657#/273+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 11 Calling Brillhart-Lehmer-Selfridge with factored part 33.38% 126831252923413*4657#/273+1 is prime! (0.5647s+0.0005s) [Elapsed time: 1.00 seconds]
modified2021-04-20 22:39:26
created2020-11-05 15:26:01
id177071

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