261 · 22879941 + 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:261 · 22879941 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L4119 : Nelson3, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:866952   (log10 is 866951.043383029)
Rank (*):409 (digit rank is 1)
Entrance Rank (*):198
Currently on list? (*):short
Submitted:6/23/2015 16:01:06 CDT
Last modified:6/23/2015 17:20:33 CDT
Database id:120033
Status Flags:TrialDiv
Score (*):46.1949 (normalized score 11.6396)

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_id120033
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"261*2^2879941+1" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing 261*2^2879941+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%


261*2^2879941+1 is prime! (3069.7237s+0.0011s)
[Elapsed time: 51.17 minutes]
modified2016-04-08 12:40:28
created2015-06-23 16:04:05
id165659

Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.