21048576 - 2891232 - 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: | 21048576 - 2891232 - 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | [none] |
| Proof-code(s): (*): | p269 : Zhou, OpenPFGW |
| Decimal Digits: | 315653 (log10 is 315652.82873335) |
| Rank (*): | 22339 (digit rank is 1) |
| Entrance Rank (*): | 627 |
| Currently on list? (*): | no |
| Submitted: | 8/30/2011 01:34:30 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Removed (*): | 10/28/2013 22:09:36 UTC |
| Database id: | 101355 |
| Status Flags: | none |
| Score (*): | 43.0917 (normalized score 0.1258) |
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 101355 person_id 9 machine Ditto P4 P4 what trial_divided notes Command: /home/ditto/client/pfgw -o -f -q"2^1048576-2^891232-1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] 2^1048576-2^891232-1 1/1 mro=0 trial factoring to 116037391 2^1048576-2^891232-1 has no small factor. [Elapsed time: 2751.921 seconds] modified 2020-07-07 22:30:31 created 2011-08-30 01:35:01 id 132273
field value prime_id 101355 person_id 9 machine RedHat P4 P4 what prime notes Command: /home/caldwell/client/pfgw -tp -q"2^1048576-2^891232-1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 2^1048576-2^891232-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 11, base 1+sqrt(11) Calling Brillhart-Lehmer-Selfridge with factored part 84.99% 2^1048576-2^891232-1 is prime! (45279.9141s+0.0016s) [Elapsed time: 12.58 hours] modified 2020-07-07 22:30:31 created 2011-08-30 01:54:27 id 132277
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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