1865473673367 · 21290000 - 1
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

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:1865473673367 · 21290000 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L2133 : VanRangelrooij, TwinGen, PrimeGrid, LLR
Decimal Digits:388341   (log10 is 388340.96519566)
Rank (*):8245 (digit rank is 132)
Entrance Rank (*):2655
Currently on list? (*):no
Submitted:2/22/2015 11:35:49 CDT
Last modified:2/22/2015 13:20:22 CDT
Removed (*):8/12/2016 04:21:04 CDT
Database id:119408
Status Flags:TrialDiv
Score (*):43.7286 (normalized score 0.7806)

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.
fieldvalue
prime_id119408
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tp -q"1865473673367*2^1290000-1" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing 1865473673367*2^1290000-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%


1865473673367*2^1290000-1 is prime! (2808.4011s+0.0003s)
[Elapsed time: 46.80 minutes]
modified2015-04-20 07:32:09
created2015-02-22 12:25:14
id165014

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.