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At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: 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:
field (help) | value |
Description: | 5309 · 21257831 + 1 |
Verification status (*): | Proven |
Official Comment: | |
Proof-code(s): (*): | L3810 : Radle, PSieve, Srsieve, PrimeGrid, LLR |
Decimal Digits: | 378649 (log10 is 378648.58548875) |
Rank (*): | 10880 (digit rank is 1) |
Entrance Rank (*): | 3030 |
Currently on list? (*): | no |
Submitted: | 4/8/2014 13:05:05 CDT |
Last modified: | 4/8/2014 13:52:16 CDT |
Removed (*): | 4/29/2015 10:20:08 CDT |
Database id: | 117582 |
Status Flags: | TrialDiv |
Score (*): | 43.651 (normalized score 0.6579) |
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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 | 117582 |
person_id | 9 |
machine | WinXP Dual Core 2.6GHz 64-bit Laptop |
what | prime |
notes | Command: pfgw64.exe -t -q"5309*2^1257831+1" 2>&1 PFGW Version 3.7.3.64BIT.20130210.Win_Dev [GWNUM 27.8] Primality testing 5309*2^1257831+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 5309*2^1257831+1 is prime! (977.8271s+0.0023s) [Elapsed time: 978 seconds]
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modified | 2014-04-14 15:25:10 |
created | 2014-04-08 13:18:50 |
id | 163116 |
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Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.
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