181 · 2268299 - 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: | 181 · 2268299 - 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | [none] |
| Proof-code(s): (*): | L138 : Soule, NewPGen, Rieselprime, LLR |
| Decimal Digits: | 80769 (log10 is 80768.304485225) |
| Rank (*): | 55944 (digit rank is 1) |
| Entrance Rank (*): | 3332 |
| Currently on list? (*): | no |
| Submitted: | 3/28/2006 22:27:51 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Removed (*): | 2/23/2007 16:00:28 UTC |
| Database id: | 77398 |
| Status Flags: | none |
| Score (*): | 38.896 (normalized score 0.0014) |
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 77398 person_id 9 machine Linux P4 2.8GHz what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 181 2 268299 -1 2>&1 [Elapsed time: 34.103 seconds] modified 2020-07-07 22:30:42 created 2006-03-29 00:52:55 id 83800
field value prime_id 77398 person_id 9 machine WinXP P4 2.2GHz what prime notes Command: pfgw.exe -n -f -tp -q"181*2^268299-1" 2>&1 PFGW Version 1.2.0 for Windows [FFT v23.8] Primality testing 181*2^268299-1 [N+1, Brillhart-Lehmer-Selfridge] trial factoring to 27131267 Running N+1 test using discriminant 3, base 1+sqrt(3) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 181*2^268299-1 is prime! (2429.3987s+0.0463s) [Elapsed time: 2430 seconds] modified 2020-07-07 22:30:42 created 2006-03-29 01:46:29 id 83807
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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