98166!/3 - 1

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Description:98166!/3 - 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):p381 : Batalov, Fpsieve, OpenPFGW
Decimal Digits:447411   (log10 is 447410.31869332)
Rank (*):6515 (digit rank is 1)
Entrance Rank (*):1593
Currently on list? (*):no
Submitted:2/21/2015 19:38:47 CDT
Last modified:2/22/2015 01:20:30 CDT
Removed (*):3/23/2020 21:37:49 CDT
Database id:119403
Status Flags:TrialDiv
Score (*):44.1637 (normalized score 0.7996)

User comments about this prime (disclaimer):

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Serge Batalov writes (24 Feb 2015):  (report abuse)
There are at least 36 OEIS sequences for "near-factorial" numbers (in addition to factorial plus one A002981 and minus one A002982):
Numbers such that m*n!-1 is a prime (2<=m<=10): A076133, A076134, A099350, A099351, A180627-A180631.
Numbers such that m*n!+1 is a prime: A051915, A076679-A076683, A178488, A180626, A126896.
Numbers such that n!/m-1 is a prime: A082671, A139056, A139199-A139205.
Numbers such that n!/m+1 is a prime: A082672, A089085, A139061, A139058, A139063, A139065, A151913, A137390, A139071.

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_id119403
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/pfgw/pfgw64 -tp -q"98166!/3-1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 98166!/3-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 98179, base 1+sqrt(98179) Calling Brillhart-Lehmer-Selfridge with factored part 33.41% 98166!/3-1 is prime! (19572.7278s+0.2011s) [Elapsed time: 5.44 hours]
modified2020-07-07 17:30:17
created2015-02-21 19:43:01
id165009

Query times: 0.0004 seconds to select prime, 0.0008 seconds to seek comments.
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