12042 · 42277646 + 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:12042 · 42277646 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L4444 : Terber, Srsieve, CRUS, LLR
Decimal Digits:450693   (log10 is 450692.753180438)
Rank (*):4966 (digit rank is 1)
Entrance Rank (*):3250
Currently on list? (*):yes
Submitted:1/13/2019 11:15:03 CDT
Last modified:1/13/2019 11:50:22 CDT
Database id:125916
Status Flags:TrialDiv
Score (*):44.1861 (normalized score 1.0045)

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: Xeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"12042*42^277646+1" 2>&1
PFGW Version [GWNUM 27.11]
Primality testing 12042*42^277646+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Calling Brillhart-Lehmer-Selfridge with factored part 52.06%

12042*42^277646+1 is prime! (1347.5785s+0.0108s)
[Elapsed time: 22.47 minutes]
modified2019-01-13 11:43:29
created2019-01-13 11:21:01

Query times: 0.0004 seconds to select prime, 0.0011 seconds to seek comments.