2 · 36225 + 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 · 36225 + 1
Verification status (*):Proven
Official Comment:Divides Phi(3^6223,2) [K]
Proof-code(s): (*):C : Caldwell, Cruncher
Decimal Digits:2971   (log10 is 2970.38084062556)
Rank (*):89734 (digit rank is 11)
Entrance Rank (*):579
Currently on list? (*):no
Last modified:1992
Database id:29762
Status Flags:none
Score (*):28.6696 (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 166
Subcategory: "Divides Phi"
(archival tag id 175455, tag last modified 2020-05-22 18:20:06)

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*3^6225+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Running N-1 test using base 11 Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 2*3^6225+1 is prime! (52.770000 seconds)
modified2003-03-25 11:26:37
created2002-12-06 16:32:13

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