2943 · 28000 + 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:2943 · 28000 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):DM : Demichel
Decimal Digits:2412   (log10 is 2411.7087555739)
Rank (*):101342 (digit rank is 4)
Entrance Rank (*):4264
Currently on list? (*):no
Submitted:5/1/1996
Last modified:3/11/2023 15:54:10 UTC
Removed (*):5/1/1996
Database id:32191
Status Flags:none
Score (*):28.0207 (normalized score 0)

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.

Jeppe Stig Nielsen writes (13 May 2024):  (report abuse)
Nestor de Araújo Melo (2002): Divides xGF(7998, 5, 2) = 5^(2^7998) + 2^(2^7998).

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_id32191
person_id9
machineLinux PII 200
whatprime
notesPFGW Version 1.1 for Pentium and compatibles Running N-1 test using base 7 Primality testing 2943*2^8000+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.86% 2943*2^8000+1 is prime! (5.950000 seconds)
modified2003-03-25 17:26:47
created2002-12-06 16:28:39
id22711

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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