3142487929965 · 2666668 - 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: | 3142487929965 · 2666668 - 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | [none] |
| Proof-code(s): (*): | L2193 : Hubbard, TwinGen, PrimeGrid, LLR |
| Decimal Digits: | 200700 (log10 is 200699.56242293) |
| Rank (*): | 33024 (digit rank is 1513) |
| Entrance Rank (*): | 3069 |
| Currently on list? (*): | no |
| Submitted: | 2/23/2011 04:21:30 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Removed (*): | 8/24/2011 00:05:36 UTC |
| Database id: | 98720 |
| Status Flags: | none |
| Score (*): | 41.699 (normalized score 0.0374) |
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 98720 person_id 9 machine Ditto P4 P4 what trial_divided notes Command: /home/ditto/client/TrialDiv/TrialDiv -q 3142487929965 2 666668 -1 2>&1 [Elapsed time: 10.247 seconds] modified 2020-07-07 22:30:32 created 2011-02-23 04:35:22 id 126783
field value prime_id 98720 person_id 9 machine WinXP Dual Core 2.6GHz Laptop what prime notes Command: pfgw.exe -n -tp -q"3142487929965*2^666668-1" 2>&1 Primality testing 3142487929965*2^666668-1 [N+1, Brillhart-Lehmer-Selfridge] PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Running N+1 test using discriminant 7, base 1+sqrt(7) N+1: 314248792996Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 3142487929965*2^666668-1 is prime! (14695.7875s+0.0047s) 5*2^666668-1[Elapsed time: 14695 seconds] modified 2020-07-07 22:30:32 created 2011-02-23 08:00:54 id 126845
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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