21 · 2191337 + 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: | 21 · 2191337 + 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | [none] |
| Proof-code(s): (*): | g168 : Hewgill, Proth.exe |
| Decimal Digits: | 57600 (log10 is 57599.498499654) |
| Rank (*): | 60438 (digit rank is 1) |
| Entrance Rank (*): | 97 |
| Currently on list? (*): | no |
| Submitted: | 9/5/2000 19:40:27 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Removed (*): | 5/15/2005 09:09:03 UTC |
| Database id: | 593 |
| Status Flags: | none |
| Score (*): | 37.8536 (normalized score 0.0005) |
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 593 person_id 9 machine WinXP Athlon 1.3GHz what prime notes PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N-1 test using base 5 Primality testing 21*2^191337+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 21*2^191337+1 is prime! (441.384000 seconds) modified 2003-03-25 17:21:50 created 2003-01-21 06:48:35 id 66982
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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