1861413806037 · 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.

Description:1861413806037 · 21290000 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L4081 : Henderson2, TwinGen, PrimeGrid, LLR
Decimal Digits:388341   (log10 is 388340.96424947)
Rank (*):9708 (digit rank is 138)
Entrance Rank (*):2672
Currently on list? (*):no
Submitted:2/23/2015 18:38:18 CDT
Last modified:2/23/2015 19:20:33 CDT
Removed (*):8/11/2016 01:49:52 CDT
Database id:119425
Status Flags:TrialDiv
Score (*):43.7286 (normalized score 0.6249)

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_id119425
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 1861413806037*2^1290000-1 2>&1 Starting Lucas Lehmer Riesel prime test of 1861413806037*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... 1861413806037*2^1290000-1 is prime! (388341 decimal digits) Time : 773.741 sec. [Elapsed time: 12.90 minutes]
modified2020-07-07 17:30:17
created2015-02-23 18:41:01
id165031

Query times: 0.0001 seconds to select prime, 0.0002 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.