2 · 35818001 + 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 databases at The Prime Pages: 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:

field (help)value
Description:2 · 35818001 + 1
Verification status (*):Proven
Official Comment:
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):p3 : Dohmen, OpenPFGW
Decimal Digits:28436   (log10 is 28435.8896024119)
Rank (*):61257 (digit rank is 1)
Entrance Rank (*):529
Currently on list? (*):no
Last modified:3/2000
Removed (*):8/2/2002 17:37:09 CDT
Database id:5735
Status Flags:none
Score (*):35.6743 (normalized score 0.0002)

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.

David Broadhurst writes (11 Sep 2014): 
Divides Phi(3581^8001,3581)

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.
machineLinux PII 200
notesPFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 2 Primality testing 2*3581^8001+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 2*3581^8001+1 is prime! (-895.117296 seconds)
modified2003-03-25 11:23:05
created2003-01-02 20:25:45

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.