357659 · 21779748 - 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:357659 · 21779748 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L47 : Bishop_D, ProthSieve, RieselSieve, LLR
Decimal Digits:535764   (log10 is 535763.086192137)
Rank (*):1578 (digit rank is 1)
Entrance Rank (*):20
Currently on list? (*):yes
Submitted:9/25/2005 02:34:14 CDT
Last modified:9/25/2005 16:18:19 CDT
Database id:75693
Status Flags:none
Score (*):44.7173 (normalized score 2.6559)

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_id75693
person_id9
machineLinux P4 2.8GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 357659*2^1779748-1 2>&1
Starting Lucas Lehmer Riesel prime test of 357659*2^1779748-1
V1 = 4 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
357659*2^1779748-1 is prime! Time : 48318.124 sec.
[Elapsed time: 48318 seconds]
modified2005-09-26 07:46:26
created2005-09-25 02:53:00
id80872

Query times: 0.0007 seconds to select prime, 0.0005 seconds to seek comments.