3354147477807 · 21290000 - 1
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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:3354147477807 · 21290000 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L3203 : Scalise, TwinGen, PrimeGrid, LLR
Decimal Digits:388342   (log10 is 388341.21998869)
Rank (*):5434 (digit rank is 281)
Entrance Rank (*):4680
Currently on list? (*):no
Submitted:3/5/2017 03:47:53 CDT
Last modified:3/5/2017 04:20:23 CDT
Removed (*):6/10/2017 22:08:40 CDT
Database id:123113
Status Flags:TrialDiv
Score (*):43.7286 (normalized score 0.9763)

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.
fieldvalue
prime_id123113
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 3354147477807*2^1290000-1 2>&1
Starting Lucas Lehmer Riesel prime test of 3354147477807*2^1290000-1
Using zero-padded AVX FFT length 128K, Pass1=128, Pass2=1K
V1 = 9 ; Computing U0...
V1 = 9 ; Computing U0...done.Starting Lucas-Lehmer loop...


3354147477807*2^1290000-1 is prime! (388342 decimal digits) Time : 784.370 sec.
[Elapsed time: 13.08 minutes]
modified2017-03-31 15:53:56
created2017-03-05 03:51:01
id168759

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.