379185609 · 227127 - 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: | 379185609 · 227127 - 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | Cunningham chain (p) |
| Proof-code(s): (*): | L983 : Wu_T, LLR |
| Decimal Digits: | 8175 (log10 is 8174.6195442233) |
| Rank (*): | 84771 (digit rank is 3) |
| Entrance Rank (*): | 46051 |
| Currently on list? (*): | no |
| Submitted: | 11/16/2009 21:20:49 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 90886 |
| Status Flags: | none |
| Score (*): | 31.8152 (normalized score 0) |
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.
- Cunningham Chains (1st kind) (archivable class *)
- Prime on list: no, rank 8, weight 21.972386250503
Subcategory: "Cunningham chain (p)"
(archival tag id 212437, tag last modified 2023-03-11 15:53:59)
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 90886 person_id 9 machine RedHat P4 P4 what prime notes Command: /home/caldwell/client/llr.pl 379185609*2^27127-1 2>&1 Starting Lucas Lehmer Riesel prime test of 379185609*2^27127-1 Using Zero Padded IBDWT : Mersenne fftlen = 1280, Used fftlen = 2560 V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done. Starting Lucas-Lehmer loop... 379185609*2^27127-1 is prime! Time : 1.690 sec. [Elapsed time: 2.00 seconds] modified 2020-07-07 22:30:36 created 2009-11-16 21:33:11 id 111148
field value prime_id 90886 person_id 9 machine Ditto P4 P4 what trial_divided notes Command: /home/ditto/client/TrialDiv/TrialDiv -q 379185609 2 27127 -1 2>&1 [Elapsed time: 8.456 seconds] modified 2020-07-07 22:30:36 created 2009-11-16 21:35:02 id 111149
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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