9741 · 21489148 + 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:9741 · 21489148 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L3035 : Scalise, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:448283   (log10 is 448282.20458657)
Rank (*):3016 (digit rank is 1)
Entrance Rank (*):2809
Currently on list? (*):yes
Submitted:4/13/2018 13:52:16 CDT
Last modified:4/14/2018 09:50:23 CDT
Database id:124583
Status Flags:TrialDiv
Score (*):44.1697 (normalized score 1.3523)

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_id124583
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"9741*2^1489148+1" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing 9741*2^1489148+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%


9741*2^1489148+1 is prime! (1053.9605s+0.0008s)
[Elapsed time: 17.57 minutes]
modified2018-04-14 09:28:35
created2018-04-14 09:11:01
id170251

fieldvalue
prime_id124583
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatrequested
notespfgw
modified2018-04-13 13:53:01
created2018-04-13 13:53:01
id170249

Query times: 0.0006 seconds to select prime, 0.0003 seconds to seek comments.