11 · 2960901 + 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:11 · 2960901 + 1
Verification status (*):Proven
Official Comment:Divides Fermat F(960897)
Proof-code(s): (*):g277 : Eaton, NewPGen, PRP, Proth.exe
Decimal Digits:289262   (log10 is 289261.0652562)
Rank (*):13829 (digit rank is 1)
Entrance Rank (*):82
Currently on list? (*):short
Submitted:2/23/2005 13:53:21 CDT
Last modified:2/23/2005 13:53:21 CDT
Database id:73518
Status Flags:none
Score (*):42.8232 (normalized score 0.3995)

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.
Fermat Divisors (archivable *)
Prime on list: yes, rank 13, weight 45.221182180927
Subcategory: "Divides Fermat"
(archival tag id 187107, tag last modified 2016-03-15 13:57:14)

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_id73518
person_id9
machineWinXP P4 1.8GHz
whatprime
notesCommand: pfgw.exe -n -f -t -q"11*2^960901+1" 2>&1
PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4]
trial factoring to 105748250
Running N-1 test using base 3
N-1: 11*2^960901+1 932500/Primality testing 11*2^960901+1 [N-1, Brillhart-Lehmer-Selfridge]
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
11*2^960901+1 is prime! (14228.6053s+0.0022s)
960906



modified2005-03-29 11:22:33
created2005-02-23 17:22:47
id78535

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.