4778027# - 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 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:	4778027# - 1
Verification status (*):	External
Official Comment (*):	Primorial
Unofficial Comments:	This prime has 2 user comments below.
Proof-code(s): (*):	p442 : Presler, MultiSieve, PrimeGrid, PRST, OpenPFGW
Decimal Digits:	2073926 (log₁₀ is 2073925.3231733)
Rank (*):	292 (digit rank is 1)
Entrance Rank (*):	257
Currently on list? (*):	yes
Submitted:	8/6/2024 14:22:02 UTC
Last modified:	9/9/2024 21:37:03 UTC
Database id:	138382
Status Flags:	Verify
Score (*):	48.8699 (normalized score 42.2111)

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.

Primorial (archivable *)
Prime on list: yes, rank 5
Subcategory: "Primorial"
(archival tag id 229641, tag last modified 2024-11-08 16:37:12)

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.

Reginald McLean writes (9 Sep 2024): (report abuse)

This is marked as externally verified for the moment as our verification software has been running out of memory attempting to test this number. We do plan to verify this ourselves once these issues are resolved.

PrimeGrid writes (2 Nov 2024): (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.

field value

prime_id 138382

person_id 9

machine Using: Digital Ocean Droplet

what requested

notes N+1: 4778027#-1 6887500/45496704 mro=0.5

modified 2024-09-07 17:00:50

created 2024-08-22 23:15:54

id 184269

field	value
prime_id	138382
person_id	9
machine	Using: Digital Ocean Droplet
what	requested
notes	N+1: 4778027#-1 6887500/45496704 mro=0.5
modified	2024-09-07 17:00:50
created	2024-08-22 23:15:54
id	184269

field value

prime_id 138382

person_id 9

machine Using: Digital Ocean Droplet

what requested

notes N+1: 4778027#-1 6887500/45496704 mro=0.5

modified 2024-08-21 13:52:30

created 2024-08-06 14:23:01

id 184224

field	value
prime_id	138382
person_id	9
machine	Using: Digital Ocean Droplet
what	requested
notes	N+1: 4778027#-1 6887500/45496704 mro=0.5
modified	2024-08-21 13:52:30
created	2024-08-06 14:23:01
id	184224

Query times: 0.0002 seconds to select prime, 0.0007 seconds to seek comments.