2748845761077 · 21290000 - 1
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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:2748845761077 · 21290000 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L4301 : Kryger, TwinGen, PrimeGrid, LLR
Decimal Digits:388342   (log10 is 388341.133556908)
Rank (*):7034 (digit rank is 819)
Entrance Rank (*):3932
Currently on list? (*):no
Submitted:5/22/2016 23:31:21 CDT
Last modified:5/23/2016 00:50:11 CDT
Removed (*):2/9/2017 06:34:52 CDT
Database id:121687
Status Flags:TrialDiv
Score (*):43.7286 (normalized score 0.8319)

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_id121687
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tp -q"2748845761077*2^1290000-1" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing 2748845761077*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%


2748845761077*2^1290000-1 is prime! (2901.1718s+0.0004s)
[Elapsed time: 48.37 minutes]
modified2017-01-27 05:57:11
created2016-05-22 23:43:01
id167325

Query times: 0.0004 seconds to select prime, 0.0009 seconds to seek comments.