9422094211005 · 21290000 - 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: | 9422094211005 · 21290000 - 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | Arithmetic progression (3,d=2227792035315*2^1290001) |
| Proof-code(s): (*): | L3494 : Batalov, NewPGen, LLR |
| Decimal Digits: | 388342 (log10 is 388341.668553978) |
| Rank (*): | 9130 (digit rank is 1) |
| Entrance Rank (*): | 7901 |
| Currently on list? (*): | short |
| Submitted: | 4/8/2020 12:34:46 CDT |
| Last modified: | 4/8/2020 15:20:19 CDT |
| Database id: | 130820 |
| Status Flags: | TrialDiv |
| Score (*): | 43.7286 (normalized score 0.5362) |
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: yes, rank 5, weight 51.1347290869489
Subcategory: "Arithmetic progression (3,d=*)"
(archival tag id 223962, tag last modified 2020-04-18 01:50:22)
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.
field value prime_id 130820 person_id 9 machine Using: Xeon (pool) 4c+4c 3.5GHz what prime notes Command: /home/caldwell/clientpool/4/pfgw64 -tp -q"9422094211005*2^1290000-1" 2>&1 PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing 9422094211005*2^1290000-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 13, base 1+sqrt(13) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 9422094211005*2^1290000-1 is prime! (9201.3832s+0.0004s) [Elapsed time: 2.56 hours] modified 2020-07-07 17:30:10 created 2020-04-08 12:41:01 id 176506
Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
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