684872462655 · 21290000 - 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: | 684872462655 · 21290000 - 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | [none] |
| Proof-code(s): (*): | L3568 : Wakolbinger, TwinGen, PrimeGrid, LLR |
| Decimal Digits: | 388341 (log10 is 388340.53001624) |
| Rank (*): | 17162 (digit rank is 1116) |
| Entrance Rank (*): | 1306 |
| Currently on list? (*): | no |
| Submitted: | 7/6/2013 21:41:08 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Removed (*): | 1/28/2016 07:47:09 UTC |
| Database id: | 114610 |
| Status Flags: | none |
| Score (*): | 43.7286 (normalized score 0.2864) |
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 114610 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 684872462655 2 1290000 -1 2>&1 [Elapsed time: 10.359 seconds] modified 2020-07-07 22:30:19 created 2013-07-06 21:48:02 id 159594
field value prime_id 114610 person_id 9 machine WinXP Dual Core 2.6GHz 64-bit Laptop what prime notes Command: cllr64.exe -q"684872462655*2^1290000-1" 2>&1 -d Starting Lucas Lehmer Riesel prime test of 684872462655*2^1290000-1 Using zero-padded AVX FFT length 128K, Pass1=128, Pass2=1K V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done. Starting Lucas-Lehmer loop... [Elapsed time: 940 seconds] modified 2020-07-07 22:30:19 created 2013-07-06 23:58:52 id 159601
Query times: 0.0003 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.