
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:  914546877 · 2^{34772}  1 
Verification status (*):  Proven 
Official Comment:  Cunningham chain (p) 
Proofcode(s): (*):  L983 : Wu_T, LLR 
Decimal Digits:  10477 (log_{10} is 10476.376215199) 
Rank (*):  70954 (digit rank is 3) 
Entrance Rank (*):  44291 
Currently on list? (*):  short 
Submitted:  1/7/2010 13:49:22 CDT 
Last modified:  1/7/2010 14:20:30 CDT 
Database id:  91397 
Status Flags:  none 
Score (*):  32.5843 (normalized score 0) 

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.
 Cunningham Chains (1st kind) (archivable class *)
 Prime on list: yes, rank 5, weight 22.4934561989999
Subcategory: "Cunningham chain (p)"
(archival tag id 212431, tag last modified 20160901 20:50:09)
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  91397 
person_id  9 
machine  RedHat P4 P4 
what  trial_divided 
notes  Command: /home/caldwell/client/TrialDiv/TrialDiv q 914546877 2 34772 1 2>&1 [Elapsed time: 8.449 seconds]

modified  20111227 16:48:41 
created  20100107 13:52:19 
id  112171 

field  value 
prime_id  91397 
person_id  9 
machine  RedHat P4 P4 
what  prime 
notes  Command: /home/caldwell/client/llr.pl 914546877*2^347721 2>&1 Starting Lucas Lehmer Riesel prime test of 914546877*2^347721 Using Zero Padded IBDWT : Mersenne fftlen = 1792, Used fftlen = 3584 V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done. Starting LucasLehmer loop... 914546877*2^347721 is prime! Time : 3.322 sec. [Elapsed time: 3.00 seconds]

modified  20100313 18:56:31 
created  20100107 13:53:08 
id  112174 

Query times: 0.0004 seconds to select prime, 0.0009 seconds to seek comments.
