199 · 22835667 - 1
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

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:199 · 22835667 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L2484 : Ritschel, PSieve, Srsieve, Rieselprime, LLR
Decimal Digits:853624   (log10 is 853623.12356757)
Rank (*):653 (digit rank is 1)
Entrance Rank (*):595
Currently on list? (*):short
Submitted:1/13/2019 08:16:41 CDT
Last modified:1/13/2019 09:20:21 CDT
Database id:125915
Status Flags:TrialDiv
Score (*):46.1473 (normalized score 8.6787)

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_id125915
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 199*2^2835667-1 2>&1
Starting Lucas Lehmer Riesel prime test of 199*2^2835667-1
Using AVX FFT length 192K, Pass1=256, Pass2=768
V1 = 4 ; Computing U0...
V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop...


199*2^2835667-1 is prime! (853624 decimal digits) Time : 2546.192 sec.
[Elapsed time: 42.45 minutes]
modified2019-01-13 09:03:28
created2019-01-13 08:21:01
id171592

Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.