512871 · 23321 + 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:512871 · 23321 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):DM : Demichel
Decimal Digits:1006   (log10 is 1005.4306237429)
Rank (*):131995 (digit rank is 803)
Entrance Rank (*):11943
Currently on list? (*):no
Submitted:3/1996
Last modified:3/11/2023 15:54:10 UTC
Removed (*):3/1996
Database id:57521
Status Flags:none
Score (*):25.2889 (normalized score 0)

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_id57521
person_id9
machineLinux PII 200
whatprime
notesPrimality testing 512871*2^3321+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.46% 512871*2^3321+1 is prime! (0.980000 seconds)
modified2020-07-07 22:30:56
created2002-12-04 04:53:30
id873

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
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