4704549881115 · 21290000 - 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:4704549881115 · 21290000 - 1
Verification status (*):Proven
Official Comment:Arithmetic progression (3,d=496648444065*2^1290002)
Proof-code(s): (*):L3494 : Batalov, NewPGen, LLR
Decimal Digits:388342   (log10 is 388341.366924613)
Rank (*):5191 (digit rank is 2)
Entrance Rank (*):3962
Currently on list? (*):short
Submitted:6/12/2016 10:54:58 CDT
Last modified:6/12/2016 11:20:46 CDT
Database id:121770
Status Flags:TrialDiv
Score (*):43.7286 (normalized score 0.9701)

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.
Arithmetic Progressions of Primes (archivable class *)
Prime on list: yes, rank 4, weight 51.1347263117792
Subcategory: "Arithmetic progression (3,d=*)"
(archival tag id 218348, tag last modified 2017-02-02 09:20:09)

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_id121770
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 4704549881115*2^1290000-1 2>&1
Starting Lucas Lehmer Riesel prime test of 4704549881115*2^1290000-1
Using zero-padded AVX FFT length 128K, Pass1=128, Pass2=1K
V1 = 11 ; Computing U0...
V1 = 11 ; Computing U0...done.Starting Lucas-Lehmer loop...


4704549881115*2^1290000-1 is prime! (388342 decimal digits) Time : 776.729 sec.
[Elapsed time: 12.93 minutes]
modified2017-01-27 05:57:11
created2016-06-12 11:01:02
id167408

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.