
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:  8151728061 · 2^{125987}  1 
Verification status (*):  Proven 
Official Comment:  Twin (p) 
Proofcode(s): (*):  p35 : Augustin, NewPGen, OpenPFGW 
Decimal Digits:  37936 (log_{10} is 37935.777313401) 
Rank (*):  53803 (digit rank is 2) 
Entrance Rank (*):  28848 
Currently on list? (*):  short 
Submitted:  5/8/2010 13:59:24 CDT 
Last modified:  5/8/2010 14:20:25 CDT 
Database id:  92613 
Status Flags:  none 
Score (*):  36.5647 (normalized score 0.0007) 

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 18
Subcategory: "Twin (p)"
(archival tag id 210663, tag last modified 20160402 09:20:06)
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  92613 
person_id  9 
machine  Ditto P4 P4 
what  trial_divided 
notes  Command: /home/ditto/client/TrialDiv/TrialDiv q 8151728061 2 125987 1 2>&1 [Elapsed time: 8.807 seconds]

modified  20111227 16:48:40 
created  20100508 14:05:02 
id  114606 

field  value 
prime_id  92613 
person_id  9 
machine  Ditto P4 P4 
what  prime 
notes  Command: /home/ditto/client/llr.pl 8151728061*2^1259871 2>&1 Starting Lucas Lehmer Riesel prime test of 8151728061*2^1259871 Using Zero Padded IBDWT : Mersenne fftlen = 6144, Used fftlen = 12288 V1 = 3 ; Computing U0... V1 = 3 ; Computing U0...done. Starting LucasLehmer loop... 8151728061*2^1259871 is prime! Time : 40.155 sec. [Elapsed time: 40.00 seconds]

modified  20101013 12:41:38 
created  20100508 14:08:01 
id  114608 

Query times: 0.0001 seconds to select prime, 0.0001 seconds to seek comments.
