43379 · 6243379 + 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: | 43379 · 6243379 + 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | Generalized Cullen |
| Proof-code(s): (*): | g157 : Loeh, Proth.exe |
| Decimal Digits: | 77757 (log10 is 77756.796378281) |
| Rank (*): | 54012 (digit rank is 1) |
| Entrance Rank (*): | 3648 |
| Currently on list? (*): | no |
| Submitted: | 4/2/2006 14:19:21 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 77469 |
| Status Flags: | none |
| Score (*): | 38.7789 (normalized score 0.002) |
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.
- Generalized Cullen (archivable *)
- Prime on list: no, rank 113
Subcategory: "Generalized Cullen"
(archival tag id 188577, tag last modified 2023-12-29 19:37:13)
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 77469 person_id 9 machine WinXP Pent_M 1.7GHz Laptop what prime notes Command: pfgw.exe -n -t -q"43379*62^43379+1" 2>&1 PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Running N-1 test using base 3 Primality testing 43379*62^43379+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 83.20% 43379*62^43379+1 is prime! (2354.6000s+0.0562s) [Elapsed time: 2356 seconds] modified 2020-07-07 22:30:42 created 2006-04-03 19:58:00 id 83987
field value prime_id 77469 person_id 9 machine GenToo P3 400MHz what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 43379 62 43379 1 2>&1 [Elapsed time: 8.300 seconds] modified 2020-07-07 22:30:42 created 2006-07-07 15:17:59 id 85130
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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