
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:  194772106074315 · 2^{171960} + 1 
Verification status (*):  Proven 
Official Comment:  Twin (p+2) 
Proofcode(s): (*):  x24 : Jarai_Z, Farkas, Csajbok, Kasza, Jarai, Unknown 
Decimal Digits:  51780 (log_{10} is 51779.407581139) 
Rank (*):  49709 (digit rank is 2) 
Entrance Rank (*):  13432 
Currently on list? (*):  short 
Submitted:  6/20/2007 10:37:51 CDT 
Last modified:  6/22/2007 07:20:03 CDT 
Database id:  81185 
Status Flags:  none 
Score (*):  37.5249 (normalized score 0.002) 

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 9
Subcategory: "Twin (p+2)"
(archival tag id 189938, tag last modified 20160915 05:50:06)
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  81185 
person_id  9 
machine  RedHat P4 P4 
what  trial_divided 
notes  Command: /home/caldwell/client/TrialDiv/TrialDiv q 194772106074315 2 171960 1 2>&1 [Elapsed time: 9.303 seconds]

modified  20070912 06:50:19 
created  20070620 10:52:10 
id  91480 

field  value 
prime_id  81185 
person_id  9 
machine  RedHat P4 P4 
what  prime 
notes  Command: /home/caldwell/client/pfgw t q"194772106074315*2^171960+1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 194772106074315*2^171960+1 [N1, BrillhartLehmerSelfridge] Running N1 test using base 19 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(24576,20) to FFT(24576,19) Reduced from FFT(24576,19) to FFT(24576,18) Reduced from FFT(24576,18) to FFT(24576,17) Reduced from FFT(24576,17) to FFT(24576,16) 344024 bit request FFT size=(24576,16) Calling BrillhartLehmerSelfridge with factored part 99.97% 194772106074315*2^171960+1 is prime! (314.1900s+0.0000s) [Elapsed time: 315 seconds]

modified  20070912 06:50:19 
created  20070620 10:57:22 
id  91482 

Query times: 0.0001 seconds to select prime, 0.0003 seconds to seek comments.
