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:
|Description:||4213 · 21267666 + 1|
|Verification status (*):||Proven|
|Proof-code(s): (*):||L1741 : Granowski, PSieve, Srsieve, PrimeGrid, LLR|
|Decimal Digits:||381610 (log10 is 381609.11507484)|
|Rank (*):||11168 (digit rank is 1)|
|Entrance Rank (*):||3090|
|Currently on list? (*):||no|
|Submitted:||5/15/2014 19:29:57 CDT|
|Last modified:||5/15/2014 21:22:10 CDT|
|Removed (*):||6/15/2015 18:45:28 CDT|
|Score (*):||43.6749 (normalized score 0.6295)|
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.
|machine||Ditto P4 P4|
|notes||Command: /home/ditto/client/pfgw -t -q"4213*2^1267666+1" 2>&1|
PFGW Version 188.8.131.52BIT.20110215.x86_Dev [GWNUM 26.5]
Primality testing 4213*2^1267666+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
4213*2^1267666+1 is prime! (4606.9081s+0.0010s)
[Elapsed time: 76.78 minutes]
Query times: 0.0005 seconds to select prime, 0.0006 seconds to seek comments.