321 · 2514041 - 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: | 321 · 2514041 - 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | [none] |
| Proof-code(s): (*): | L79 : Benson, NewPGen, NPLB, LLR |
| Decimal Digits: | 154745 (log10 is 154744.26650614) |
| Rank (*): | 40509 (digit rank is 1) |
| Entrance Rank (*): | 1041 |
| Currently on list? (*): | no |
| Submitted: | 11/1/2007 09:45:55 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Removed (*): | 6/25/2010 11:55:58 UTC |
| Database id: | 82815 |
| Status Flags: | none |
| Score (*): | 40.8988 (normalized score 0.0168) |
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 82815 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 321 2 514041 -1 2>&1 [Elapsed time: 9.973 seconds] modified 2020-07-07 22:30:40 created 2007-11-01 09:52:01 id 94744
field value prime_id 82815 person_id 9 machine WinXP P4 2.2GHz M what prime notes Command: pfgw.exe -n -f -tp -q"321*2^514041-1" 2>&1 PFGW Version 1.2.0 for Windows [FFT v23.8] Primality testing 321*2^514041-1 [N+1, Brillhart-Lehmer-Selfridge] trial factoring to 54320544 Running N+1 test using discriminant 11, base 1+sqrt(11) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 321*2^514041-1 is prime! (12412.3276s+0.0363s) [Elapsed time: 12412 seconds] modified 2020-07-07 22:30:40 created 2007-11-01 16:15:03 id 94752
Query times: 0.0004 seconds to select prime, 0.0004 seconds to seek comments.
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