96835!/96827# + 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.

Description:96835!/96827# + 1
Verification status (*):Proven
Official Comment (*):Compositorial
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):p381 : Batalov, Fpsieve, OpenPFGW
Decimal Digits:398821   (log10 is 398820.7948475)
Rank (*):8760 (digit rank is 1)
Entrance Rank (*):2209
Currently on list? (*):no
Submitted:2/6/2015 16:23:02 CDT
Last modified:2/6/2015 19:20:27 CDT
Database id:119245
Status Flags:TrialDiv
Score (*):43.8105 (normalized score 0.5682)

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.
Compositorial (tolerated *)
Prime on list: no, rank 1
Subcategory: "Compositorial"
(archival tag id 217902, tag last modified 2015-02-06 19:20:28)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

Serge Batalov writes (6 Feb 2015):  (report abuse)
96835!/96835# + 1 in terms of the Prime Glossary, i.e. one plus the product of all the composite numbers less than or equal to 96835.

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_id119245
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"96835!/96827#+1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 96835!/96827#+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 48437 Running N-1 test using base 48497 Calling Brillhart-Lehmer-Selfridge with factored part 34.16% 96835!/96827#+1 is prime! (8729.7666s+0.7099s) [Elapsed time: 2.43 hours]
modified2020-07-07 17:30:17
created2015-02-06 16:33:51
id164851

Query times: 0.0004 seconds to select prime, 0.0012 seconds to seek comments.
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