
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:  1061839 · 2^{456790}  1769267 · 2^{340000}  1 
Verification status (*):  Proven 
Official Comment:  Arithmetic progression (3,d=1061839*2^4567891769267*2^340000) 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  p97 : Andersen, OpenPFGW 
Decimal Digits:  137514 (log_{10} is 137513.51777802) 
Rank (*):  33729 (digit rank is 7) 
Entrance Rank (*):  1256 
Currently on list? (*):  no 
Submitted:  8/27/2007 10:57:42 CDT 
Last modified:  8/27/2007 13:42:31 CDT 
Database id:  82059 
Status Flags:  none 
Score (*):  40.5354 (normalized score 0.041) 

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 24, weight 47.4223761031475
Subcategory: "Arithmetic progression (3,d=*)"
(archival tag id 187437, tag last modified 20170202 09:20:09)
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  82059 
person_id  9 
machine  RedHat P4 P4 
what  trial_divided 
notes  Command: /home/caldwell/client/pfgw o f q"1061839*2^4567901769267*2^3400001" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] trial factoring to 47894502 1061839*2^4567901769267*2^3400001 has no small factor. [Elapsed time: 498.625 seconds]

modified  20070912 06:50:18 
created  20070827 11:22:01 
id  93238 

field  value 
prime_id  82059 
person_id  9 
machine  RedHat P4 P4 
what  prime 
notes  Command: /home/caldwell/client/pfgw tp q"1061839*2^4567901769267*2^3400001" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 1061839*2^4567901769267*2^3400001 [N+1, BrillhartLehmerSelfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(57344,20) to FFT(57344,19) Reduced from FFT(57344,19) to FFT(57344,18) Reduced from FFT(57344,18) to FFT(57344,17) Reduced from FFT(57344,17) to FFT(57344,16) 913638 bit request FFT size=(57344,16) Calling BrillhartLehmerSelfridge with factored part 74.43% 1061839*2^4567901769267*2^3400001 is prime! (847.7946s+0.0000s) [Elapsed time: 2.32444444444444 hours]

modified  20070912 06:50:18 
created  20070827 11:23:02 
id  93239 

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