933 · 2264264 + 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: | 933 · 2264264 + 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | [none] |
| Proof-code(s): (*): | p161 : Harvey, FermFact, OpenPFGW |
| Decimal Digits: | 79555 (log10 is 79554.3606558) |
| Rank (*): | 53777 (digit rank is 1) |
| Entrance Rank (*): | 2640 |
| Currently on list? (*): | no |
| Submitted: | 11/15/2005 20:06:14 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Removed (*): | 2/3/2007 22:40:54 UTC |
| Database id: | 76187 |
| Status Flags: | none |
| Score (*): | 38.8493 (normalized score 0.0021) |
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 76187 person_id 9 machine WinXP Pentium M 1.7GHz what prime notes Command: pfgw.exe -n -f -t -q"933*2^264264+1" 2>&1 PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] trial factoring to 26695430 Running N-1 test using base 7 Primality testing 933*2^264264+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 933*2^264264+1 is prime! (789.4036s+0.0007s) [Elapsed time: 789 seconds] modified 2020-07-07 22:30:43 created 2005-11-15 21:31:04 id 81388
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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