71721621048576 + 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:71721621048576 + 1
Verification status (*):InProcess
Official Comment (*):[none]
Proof-code(s): (*):L5639 : Cavecchia, GFNSvCUDA, GeneFer, AthGFNSieve, PrimeGrid, LLR
Decimal Digits:7188671   (log10 is 7188670.1493531)
Rank (*):20 (digit rank is 1)
Entrance Rank (*):20
Currently on list? (*):yes
Submitted:8/14/2026 23:16:38 UTC
Last modified:8/15/2026 02:24:18 UTC
Database id:142412
Status Flags:Verify, Lint
Score (*):52.6768 (normalized score 554.508)

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_id142412
person_id9
machineUsing: Digital Ocean Droplet
whatrequested
notesN-1: 7172162^1048576+1 7267500/23880246 mro=0
modified2026-08-21 20:16:07
created2026-08-15 02:24:18
id188596

Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.