395 · 2346282 - 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: | 395 · 2346282 - 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | [none] |
| Proof-code(s): (*): | g276 : Oita, Proth.exe |
| Decimal Digits: | 104244 (log10 is 104243.86555561) |
| Rank (*): | 47552 (digit rank is 1) |
| Entrance Rank (*): | 1001 |
| Currently on list? (*): | no |
| Submitted: | 7/30/2005 13:40:58 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Removed (*): | 12/12/2008 05:54:27 UTC |
| Database id: | 75221 |
| Status Flags: | none |
| Score (*): | 39.6823 (normalized score 0.0049) |
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 75221 person_id 9 machine WinXP Pentium M 1.7GHz what prime notes Command: pfgw.exe -n -f -tp -q"395*2^346282-1" 2>&1 PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] trial factoring to 35635540 Running N+1 test using discriminant 3, base 1+sqrt(3) N+1: 395*2^346282-1 172Primality testing 395*2^346282-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 395*2^346282-1 is prime! (4316.0897s+0.3497s) [Elapsed time: 4317 seconds] modified 2020-07-07 22:30:43 created 2005-07-30 14:02:33 id 80383
Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.
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