7 · 21491852 + 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:7 · 21491852 + 1
Verification status (*):Proven
Official Comment:Divides GF(1491851,6)
Proof-code(s): (*):p166 : Yamada, Noda, Nohara, NewPGen, MatGFN, PRP, OpenPFGW
Decimal Digits:449094   (log10 is 449093.046189342)
Rank (*):2502 (digit rank is 1)
Entrance Rank (*):21
Currently on list? (*):short
Submitted:3/2/2005 00:52:42 CDT
Last modified:3/2/2005 00:52:42 CDT
Database id:73590
Status Flags:none
Score (*):44.1752 (normalized score 1.5447)

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.
Generalized Fermat Divisors (bases 3,5,6,10,12) (archivable *)
Prime on list: yes, rank 14, weight 46.1211779246447
Subcategory: "Divides GF(*,6)"
(archival tag id 187054, tag last modified 2016-03-15 13:57:15)

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_id73590
person_id9
machineWinXP P4 1.8GHz
whatprime
notesCommand: pfgw.exe -n -f -t -q"7*2^1491852+1" 2>&1
PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4]
trial factoring to 168773583
Running N-1 test using base 3
Primality testing 7*2^1491852+1 [N-1, Brillhart-Lehmer-Selfridge]
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
7*2^1491852+1 is prime! (45115.8160s+0.0368s)
modified2005-03-29 11:22:33
created2005-03-02 20:42:11
id78611

Query times: 0.0003 seconds to select prime, 0.0005 seconds to seek comments.