1993 · 23325302 + 1
(Another of the Prime Pages' resources)
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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:1993 · 23325302 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L3662 : Schawe, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:1001019   (log10 is 1001018.94614873)
Rank (*):669 (digit rank is 1)
Entrance Rank (*):535
Currently on list? (*):short
Submitted:11/19/2019 10:19:39 CDT
Last modified:11/19/2019 11:50:10 CDT
Database id:130122
Status Flags:TrialDiv
Score (*):46.6361 (normalized score 11.6378)

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 (pool) 4c+4c 3.5GHz
notesCommand: /home/caldwell/clientpool/1/pfgw64 -t -q"1993*2^3325302+1" 2>&1
PFGW Version [GWNUM 27.11]
Primality testing 1993*2^3325302+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%

1993*2^3325302+1 is prime! (4953.5760s+0.0006s)
[Elapsed time: 82.57 minutes]
modified2019-11-19 11:45:35
created2019-11-19 10:23:01

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.