
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:  340155919 · 3301# + 1 
Verification status (*):  Proven 
Official Comment:  Arithmetic progression (3,d=30017636*3301#) 
Proofcode(s): (*):  p252 : Oakes, NewPGen, OpenPFGW 
Decimal Digits:  1401 (log_{10} is 1400.9721120224) 
Rank (*):  98199 (digit rank is 1) 
Entrance Rank (*):  70317 
Currently on list? (*):  no 
Submitted:  8/15/2010 04:13:29 CDT 
Last modified:  8/15/2010 04:50:31 CDT 
Database id:  94183 
Status Flags:  none 
Score (*):  26.3261 (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.
 Arithmetic Progressions of Primes (archivable class *)
 Prime on list: no, rank 441, weight 30.9198104585031
Subcategory: "Arithmetic progression (3,d=*)"
(archival tag id 210818, tag last modified 20180505 00:50:31)
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  94183 
person_id  9 
machine  RedHat P4 P4 
what  trial_divided 
notes  Command: /home/caldwell/client/TrialDiv/TrialDiv q 340155919 3301 # 1 2>&1 [Elapsed time: 188.849 seconds]

modified  20111227 16:48:38 
created  20100815 04:31:11 
id  117754 

field  value 
prime_id  94183 
person_id  9 
machine  RedHat P4 P4 
what  prime 
notes  Command: /home/caldwell/client/pfgw t q"340155919*3301#+1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 340155919*3301#+1 [N1, BrillhartLehmerSelfridge] Running N1 test using base 3 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(512,22) to FFT(512,21) Reduced from FFT(512,21) to FFT(512,20) Reduced from FFT(512,20) to FFT(512,19) 9316 bit request FFT size=(512,19) Running N1 test using base 7 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(512,22) to FFT(512,21) Reduced from FFT(512,21) to FFT(512,20) Reduced from FFT(512,20) to FFT(512,19) 9316 bit request FFT size=(512,19) Calling BrillhartLehmerSelfridge with factored part 33.46% 340155919*3301#+1 is prime! (2.1665s+0.0007s) [Elapsed time: 2.00 seconds]

modified  20101013 12:41:35 
created  20100815 04:23:11 
id  117748 

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