137137 · 21993201 - 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: | 137137 · 21993201 - 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | [none] |
| Proof-code(s): (*): | L321 : Broadhurst, NewPGen, OpenPFGW, LLR |
| Decimal Digits: | 600019 (log10 is 600018.42554209) |
| Rank (*): | 4741 (digit rank is 1) |
| Entrance Rank (*): | 39 |
| Currently on list? (*): | yes |
| Submitted: | 8/25/2007 21:02:36 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 82035 |
| Status Flags: | none |
| Score (*): | 45.0651 (normalized score 1.0883) |
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 82035 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 137137 2 1993201 -1 2>&1 [Elapsed time: 10.497 seconds] modified 2020-07-07 22:30:41 created 2007-08-25 21:22:01 id 93188
field value prime_id 82035 person_id 9 machine RedHat P4 P4 what prime notes Command: /home/caldwell/client/llr.pl 137137*2^1993201-1 2>&1 Starting Lucas Lehmer Riesel prime test of 137137*2^1993201-1 V1 = 4 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 137137*2^1993201-1 is prime! Time : 23447.145 sec. [Elapsed time: 6.51333333333333 hours] modified 2020-07-07 22:30:41 created 2007-08-25 21:23:01 id 93189
Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.
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