28704953769 · 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: | 28704953769 · 2333333 - 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | [none] |
| Proof-code(s): (*): | L335 : Backlund, NewPGen, PrimeGrid, TPS, LLR |
| Decimal Digits: | 100354 (log10 is 100353.68950151) |
| Rank (*): | 47426 (digit rank is 729) |
| Entrance Rank (*): | 4505 |
| Currently on list? (*): | no |
| Submitted: | 1/14/2008 20:14:41 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Removed (*): | 2/18/2008 11:15:34 UTC |
| Database id: | 83613 |
| Status Flags: | none |
| Score (*): | 39.5651 (normalized score 0.0053) |
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 83613 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 28704953769 2 333333 -1 2>&1 [Elapsed time: 9.595 seconds] modified 2020-07-07 22:30:40 created 2008-01-14 20:23:49 id 96287
field value prime_id 83613 person_id 9 machine Vista on Core 2 6700 2.66GHz what prime notes Command: pfgw.exe -n -tp -q"28704953769*2^333333-1" 2>&1 Primality testing 28704953769*2^333333-1 [N+1, Brillhart-Lehmer-Selfridge] PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Running N+1 test using discriminant 5, base 1+sqrt(5) N+1: 28704953769*2^333333-1 222500/Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 28704953769*2^333333-1 is prime! (2672.2737s+0.0006s) 333369 [Elapsed time: 2672 seconds] modified 2020-07-07 22:30:40 created 2008-01-15 04:21:28 id 96348
Query times: 0.0003 seconds to select prime, 0.0005 seconds to seek comments.
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