1694614845 · 2344338 - 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: | 1694614845 · 2344338 - 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | [none] |
| Proof-code(s): (*): | L168 : Rajh, Rieselprime, LLR |
| Decimal Digits: | 103666 (log10 is 103665.29571795) |
| Rank (*): | 50059 (digit rank is 1) |
| Entrance Rank (*): | 1488 |
| Currently on list? (*): | no |
| Submitted: | 3/29/2006 23:05:49 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Removed (*): | 11/20/2008 18:26:12 UTC |
| Database id: | 77443 |
| Status Flags: | none |
| Score (*): | 39.6651 (normalized score 0.003) |
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 77443 person_id 9 machine GenToo P3 400MHz what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 1694614845 2 344338 -1 2>&1 [Elapsed time: 50.406 seconds] modified 2020-07-07 22:30:42 created 2006-03-29 23:22:10 id 83887
field value prime_id 77443 person_id 9 machine WinXP Pent_M 1.7GHz Laptop what prime notes Command: pfgw.exe -n -tp -q"1694614845*2^344338-1" 2>&1 PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Running N+1 test using discriminant 17, base 1+sqrt(17) Primality testing 1694614845*2^344338-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 1694614845*2^344338-1 is prime! (3993.1135s+0.0008s) [Elapsed time: 3990 seconds] modified 2020-07-07 22:30:42 created 2006-03-31 05:04:53 id 83928
Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
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