28782838101 · 2333333 - 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: | 28782838101 · 2333333 - 1 |
---|---|
Verification status (*): | Proven |
Official Comment (*): | Arithmetic progression (3,d=3371818539*2^333335) [g282] |
Proof-code(s): (*): | L453 : Straubinger1, NewPGen, PrimeGrid, TPS, LLR |
Decimal Digits: | 100354 (log10 is 100353.69067828) |
Rank (*): | 49185 (digit rank is 724) |
Entrance Rank (*): | 4308 |
Currently on list? (*): | no |
Submitted: | 12/25/2007 20:47:13 UTC |
Last modified: | 3/11/2023 15:54:10 UTC |
Database id: | 83392 |
Status Flags: | none |
Score (*): | 39.5651 (normalized score 0.0044) |
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 36, weight 46.294614381689
Subcategory: "Arithmetic progression (3,d=*)"
(archival tag id 188193, tag last modified 2023-03-11 16:02:30)
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.
field value prime_id 83392 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 28782838101 2 333333 -1 2>&1 [Elapsed time: 9.294 seconds] modified 2020-07-07 22:30:40 created 2007-12-25 20:52:40 id 95896
field value prime_id 83392 person_id 9 machine RedHat P4 P4 what prime notes Command: /home/caldwell/client/llr.pl 28782838101*2^333333-1 2>&1 Starting Lucas Lehmer Riesel prime test of 28782838101*2^333333-1 V1 = 5 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 28782838101*2^333333-1 is prime! Time: 1275.954 sec. [Elapsed time: 21.27 minutes] modified 2020-07-07 22:30:40 created 2007-12-25 22:08:44 id 95905
Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.
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