275690740456281 · 233501 - 1
(Another of the Prime Pages' resources)
The Largest Known Primes Icon
  View this page in:   language help
 

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:275690740456281 · 233501 - 1
Verification status (*):Proven
Official Comment:Triplet (1)
Proof-code(s): (*):L4808 : Kaiser1, PolySieve, LLR
Decimal Digits:10100   (log10 is 10099.246306919)
Rank (*):73558 (digit rank is 6)
Entrance Rank (*):73545
Currently on list? (*):no
Submitted:7/11/2018 11:25:24 CDT
Last modified:7/11/2018 11:50:22 CDT
Database id:125451
Status Flags:TrialDiv
Score (*):32.4707 (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.
Triplet (archivable class *)
Prime on list: no, rank 6
Subcategory: "Triplet (1)"
(archival tag id 219820, tag last modified 2018-07-16 09:50:23)

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_id125451
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 275690740456281*2^33501-1 2>&1
Starting Lucas Lehmer Riesel prime test of 275690740456281*2^33501-1
Using zero-padded AVX FFT length 4K
V1 = 5 ; Computing U0...
V1 = 5 ; Computing U0...done.Starting Lucas-Lehmer loop...


275690740456281*2^33501-1 is prime! (10100 decimal digits) Time : 1.087 sec.
[Elapsed time: 1.00 seconds]
modified2018-07-11 11:31:14
created2018-07-11 11:31:13
id171124

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