454483 · 21817935 - 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:454483 · 21817935 - 1
Verification status (*):Proven
Official Comment:
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):p77 : Harvey, MultiSieve, GenWoodall, OpenPFGW
Decimal Digits:547259   (log10 is 547258.62268504)
Rank (*):1486 (digit rank is 1)
Entrance Rank (*):713
Currently on list? (*):yes
Submitted:7/29/2014 19:48:57 CDT
Last modified:7/29/2014 20:21:11 CDT
Database id:118267
Status Flags:TrialDiv
Score (*):44.7825 (normalized score 2.8339)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

Steven Harvey writes (11 Sep 2014): 
Near Woodall prime 1817932*2^1817933-1

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_id118267
person_id9
machineXeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 454483*2^1817935-1 2>&1
Starting Lucas Lehmer Riesel prime test of 454483*2^1817935-1
Using zero-padded AVX FFT length 192K, Pass1=256, Pass2=768
V1 = 4 ; Computing U0...
V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop...


454483*2^1817935-1 is prime! (547259 decimal digits) Time : 1713.611 sec.
[Elapsed time: 28.57 minutes]
modified2014-12-15 15:47:32
created2014-07-29 19:51:05
id163834

Query times: 0.0005 seconds to select prime, 0.0008 seconds to seek comments.