231 · 2749301 - 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: | 231 · 2749301 - 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | [none] |
| Proof-code(s): (*): | L138 : Soule, NewPGen, Rieselprime, LLR |
| Decimal Digits: | 225565 (log10 is 225564.440393) |
| Rank (*): | 30712 (digit rank is 1) |
| Entrance Rank (*): | 168 |
| Currently on list? (*): | no |
| Submitted: | 1/23/2006 10:11:08 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Removed (*): | 4/19/2012 11:43:40 UTC |
| Database id: | 76837 |
| Status Flags: | none |
| Score (*): | 42.0583 (normalized score 0.0347) |
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 76837 person_id 9 machine Linux P4 2.8GHz what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 231 2 749301 -1 2>&1 [Elapsed time: 12.612 seconds] modified 2020-07-07 22:30:43 created 2006-01-23 10:22:00 id 82656
field value prime_id 76837 person_id 9 machine Linux P4 2.8GHz what prime notes Command: /home/caldwell/client/llr.pl 231*2^749301-1 2>&1 Starting Lucas Lehmer Riesel prime test of 231*2^749301-1 V1 = 17 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 231*2^749301-1 is prime! Time : 3588.251 sec. [Elapsed time: 3588 seconds] modified 2020-07-07 22:30:43 created 2006-01-23 10:53:01 id 82657
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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