213 · 23990702 + 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:213 · 23990702 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L5216 : Brazier, LLR2, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:1201324   (log10 is 1201323.3341358)
Rank (*):472 (digit rank is 1)
Entrance Rank (*):470
Currently on list? (*):short
Submitted:3/25/2023 12:43:31 UTC
Last modified:3/25/2023 17:37:30 UTC
Database id:135851
Status Flags:TrialDiv
Score (*):47.1957 (normalized score 11.2985)

User comments about this prime (disclaimer):

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PrimeGrid writes (25 Mar 2023):  (report abuse)
Divides GF(3990697,8).

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.
machineUsing: Digital Ocean Droplet
notesCommand: /var/www/clientpool/1/pfgw64 -V -t -q"213*2^3990702+1" 2>&1
PFGW Version [GWNUM 30.11]
Primality testing 213*2^3990702+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Special modular reduction using all-complex AVX-512 FFT length 280K, Pass1=640, Pass2=448, clm=1 on 213*2^3990702+1
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%

213*2^3990702+1 is prime! (5112.2390s+0.0046s)
[Elapsed time: 85.20 minutes]
modified2023-03-25 16:59:13
created2023-03-25 15:34:01

Query times: 0.0005 seconds to select prime, 0.001 seconds to seek comments.
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