2 · 34217 + 1
(Another of the Prime Pages' resources)
The Largest Known Primes Icon
  View this page in:   language help
GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

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 · 34217 + 1
Verification status (*):Proven
Official Comment:Divides Phi(3^4217,2)
Proof-code(s): (*):C : Caldwell, Cruncher
Decimal Digits:2013   (log10 is 2012.32136114848)
Rank (*):98792 (digit rank is 27)
Entrance Rank (*):1127
Currently on list? (*):no
Last modified:1992
Database id:35890
Status Flags:none
Score (*):27.4563 (normalized score 0)

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.
Divides Phi (archivable *)
Prime on list: no, rank 165
Subcategory: "Divides Phi"
(archival tag id 176158, tag last modified 2019-01-28 19:20:22)

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 1.1 for Pentium and compatibles Running N-1 test using base 3 Primality testing 2*3^4217+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 2*3^4217+1 is prime! (7.430000 seconds)
modified2003-03-25 11:27:07
created2002-12-06 01:29:08

Query times: 0.0005 seconds to select prime, 0.0006 seconds to seek comments.