417 · 2239829 - 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:417 · 2239829 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):g276 : Oita, Proth.exe
Decimal Digits:72199   (log10 is 72198.342966152)
Rank (*):54780 (digit rank is 2)
Entrance Rank (*):1363
Currently on list? (*):no
Submitted:10/9/2004 08:49:02 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):8/10/2006 20:10:06 UTC
Database id:71894
Status Flags:none
Score (*):38.5502 (normalized score 0.0015)

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_id71894
person_id9
machineLinux P4 2.8GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 417*2^239829-1 2>&1 Starting Lucas Lehmer Riesel prime test of 417*2^239829-1 V1 = 3 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 417*2^239829-1 is prime! Time : 1226.863 sec.
modified2020-07-07 22:30:45
created2004-10-09 09:34:56
id76888

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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