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94189 · 21318646 + 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.
This prime's information:
|Description:||94189 · 21318646 + 1|
|Verification status (*):||Proven|
|Official Comment (*):||Generalized Cullen|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||L2777 : Ritschel, Gcwsieve, TOPS, LLR|
|Decimal Digits:||396957 (log10 is 396956.97366251)|
|Rank (*):||12176 (digit rank is 1)|
|Entrance Rank (*):||951|
|Currently on list? (*):||short|
|Submitted:||2/14/2013 07:45:17 UTC|
|Last modified:||3/11/2023 15:54:10 UTC|
|Score (*):||43.7961 (normalized score 0.3767)|
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.
- Generalized Cullen (archivable *)
- Prime on list: yes, rank 20
Subcategory: "Generalized Cullen"
(archival tag id 215072, tag last modified 2023-03-11 15:53:59)
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.
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.
field value prime_id 111226 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 94189 2 1318646 1 2>&1 [Elapsed time: 10.551 seconds] modified 2020-07-07 22:30:23 created 2013-02-14 07:48:01 id 152726
field value prime_id 111226 person_id 9 machine RedHat P4 P4 what prime notes Command: /home/caldwell/client/pfgw -t -q"94189*2^1318646+1" 2>&1 PFGW Version 220.127.116.11BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 94189*2^1318646+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 94189*2^1318646+1 is prime! (5542.7912s+0.0014s) [Elapsed time: 1.54 hours] modified 2020-07-07 22:30:23 created 2013-02-14 07:53:01 id 152727
Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.
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