425 · 21609200 - 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:425 · 21609200 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L2519 : Schmidt2, PSieve, Srsieve, NPLB, LLR
Decimal Digits:484421   (log10 is 484420.09741141)
Rank (*):5257 (digit rank is 1)
Entrance Rank (*):4814
Currently on list? (*):no
Submitted:5/28/2021 02:57:20 CDT
Last modified:5/28/2021 03:37:43 CDT
Removed (*):7/26/2021 20:43:08 CDT
Database id:132351
Status Flags:TrialDiv
Score (*):44.4078 (normalized score 0.9658)

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_id132351
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 425*2^1609200-1 2>&1
Starting Lucas Lehmer Riesel prime test of 425*2^1609200-1
Using AVX FFT length 100K, Pass1=320, Pass2=320
V1 = 4 ; Computing U0...
V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop...


425*2^1609200-1 is prime! (484421 decimal digits) Time : 786.882 sec.
[Elapsed time: 13.12 minutes]
modified2021-05-28 03:14:08
created2021-05-28 03:01:01
id178063

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.