1213436745 · 16301# + 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:1213436745 · 16301# + 1
Verification status (*):Proven
Official Comment:Arithmetic progression (5,d=42986923*16301#)
Proof-code(s): (*):p155 : DavisK, NewPGen, OpenPFGW
Decimal Digits:7035   (log10 is 7034.8705313718)
Rank (*):78362 (digit rank is 390)
Entrance Rank (*):76646
Currently on list? (*):no
Submitted:7/9/2017 00:24:38 CDT
Last modified:7/9/2017 00:50:22 CDT
Database id:123719
Status Flags:TrialDiv
Score (*):31.3493 (normalized score 0)

Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper.  Such primes are tracked with archival tags.
Arithmetic Progressions of Primes (archivable class *)
Prime on list: no, rank 122, weight 46.2163955227247
Subcategory: "Arithmetic progression (5,d=*)"
(archival tag id 218828, tag last modified 2018-07-19 23:50:22)

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"1213436745*16301#+1" 2>&1
PFGW Version [GWNUM 27.11]
Primality testing 1213436745*16301#+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Calling Brillhart-Lehmer-Selfridge with factored part 33.34%

1213436745*16301#+1 is prime! (4.8832s+0.0042s)
[Elapsed time: 5.00 seconds]
modified2017-08-07 13:02:22
created2017-07-09 00:31:02

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.