1480472640274704456611717878515654164205 · 21025897 - 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly.  This list is the most important PrimePages database: 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:

Description:1480472640274704456611717878515654164205 · 21025897 - 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):p361 : Batalov, Ksieve, Rieselprime, OpenPFGW
Decimal Digits:308865   (log10 is 308864.93986208)
Rank (*):18742 (digit rank is 1)
Entrance Rank (*):4433
Currently on list? (*):no
Submitted:8/16/2013 10:26:30 CDT
Last modified:8/16/2013 14:22:49 CDT
Removed (*):9/29/2013 09:16:16 CDT
Database id:115092
Status Flags:TrialDiv
Score (*):43.0248 (normalized score 0.1958)

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.

Serge Batalov writes (9 Nov 2014):  (report abuse)
This is a member of the "Very Prime Riesel Series", described in http://mersenneforum.org/showthread.php?t=18407 and http://tech.groups.yahoo.com/group/primeform/message/11407
For this particular value of k, this is the 216th known prime (while no other series is currently known to generate more than 183 primes).

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.
machineWinXP Dual Core 2.6GHz 32-bit
notesCommand: cllr.exe -q"1480472640274704456611717878515654164205*2^1025897-1" 2>&1 -d Starting Lucas Lehmer Riesel prime test of 1480472640274704456611717878515654164205*2^1025897-1 Using generic reduction FFT length 112K, Pass1=448, Pass2=256 V1 = 39 ; Computing U0... V1 = 39 ; Computing U0...done. Starting Lucas-Lehmer loop... [Elapsed time: 12627 seconds]
modified2020-07-07 17:30:18
created2013-08-16 10:28:39

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
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