857 · 2601512 - 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: | 857 · 2601512 - 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | [none] |
| Proof-code(s): (*): | L644 : Gunn, Srsieve, NPLB, LLR |
| Decimal Digits: | 181077 (log10 is 181076.08773265) |
| Rank (*): | 36682 (digit rank is 1) |
| Entrance Rank (*): | 1121 |
| Currently on list? (*): | no |
| Submitted: | 12/22/2008 22:39:03 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Removed (*): | 1/13/2011 09:27:53 UTC |
| Database id: | 86014 |
| Status Flags: | none |
| Score (*): | 41.3824 (normalized score 0.027) |
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 86014 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 857 2 601512 -1 2>&1 [Elapsed time: 10.319 seconds] modified 2020-07-07 22:30:39 created 2008-12-22 22:52:01 id 101495
field value prime_id 86014 person_id 9 machine RedHat P4 P4 what prime notes Command: /home/caldwell/client/llr.pl 857*2^601512-1 2>&1 Starting Lucas Lehmer Riesel prime test of 857*2^601512-1 Using Irrational Base DWT : Mersenne fftlen = 32768, Used fftlen = 40960 V1 = 4 ; Computing U0... V1 = 4 ; Computing U0...done. Starting Lucas-Lehmer loop... 857*2^601512-1 is prime! Time : 1217.311 sec. [Elapsed time: 20.28 minutes] modified 2020-07-07 22:30:39 created 2008-12-22 22:53:51 id 101496
Query times: 0.0004 seconds to select prime, 0.004 seconds to seek comments.
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