2413 · 23461890 + 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly.  This list is the most important PrimePages database: 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:

Description:2413 · 23461890 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L5197 : Propper, LLR2, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:1042137   (log10 is 1042136.1142465)
Rank (*):1963 (digit rank is 1)
Entrance Rank (*):1066
Currently on list? (*):short
Submitted:3/4/2023 13:31:05 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:135718
Status Flags:none
Score (*):46.7596 (normalized score 5.2014)

User comments about this prime (disclaimer):

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PrimeGrid writes (4 Mar 2023):  (report abuse)
Divides xGF(3461889,11,3).

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_id135718
person_id9
machineUsing: Dual Intel Xeon Gold 5222 CPUs 3.8GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -t -q"2413*2^3461890+1" 2>&1
PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8]
Primality testing 2413*2^3461890+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%


2413*2^3461890+1 is prime! (2560.6199s+0.0006s)
[Elapsed time: 42.67 minutes]
modified2023-03-04 14:16:41
created2023-03-04 13:34:01
id181498

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