
The nth Prime Page will now find any of the first 2,623,557,157,654,233 primes or
π( x) for x up to 100,000,000,000,000,000.
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:  65516468355 · 2^{333333}  1 
Verification status (*):  Proven 
Official Comment:  Twin (p) 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  L923 : Kaiser1, Klahn, NewPGen, PrimeGrid, TPS, SunGard, LLR 
Decimal Digits:  100355 (log_{10} is 100354.04789514) 
Rank (*):  37681 (digit rank is 11) 
Entrance Rank (*):  9406 
Currently on list? (*):  short 
Submitted:  8/13/2009 15:59:57 CDT 
Last modified:  8/13/2009 20:05:18 CDT 
Database id:  89650 
Status Flags:  none 
Score (*):  39.5651 (normalized score 0.0155) 

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.
 Twin Primes (archivable *)
 Prime on list: yes, rank 3
Subcategory: "Twin (p)"
(archival tag id 210492, tag last modified 20160915 05:50:06)
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.
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.
field  value 
prime_id  89650 
person_id  9 
machine  Ditto P4 P4 
what  trial_divided 
notes  Command: /home/ditto/client/TrialDiv/TrialDiv q 65516468355 2 333333 1 2>&1 [Elapsed time: 10.082 seconds]

modified  20111227 16:48:42 
created  20090813 16:05:11 
id  108670 

field  value 
prime_id  89650 
person_id  9 
machine  Ditto P4 P4 
what  prime 
notes  Command: /home/ditto/client/llr.pl 65516468355*2^3333331 2>&1 Starting Lucas Lehmer Riesel prime test of 65516468355*2^3333331 Using Zero Padded IBDWT : Mersenne fftlen = 16384, Used fftlen = 32768 V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done. Starting LucasLehmer loop... 65516468355*2^3333331 is prime! Time : 550.975 sec. [Elapsed time: 9.18 minutes]

modified  20091124 13:57:52 
created  20090813 16:08:02 
id  108671 

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
