2175 · 21430261 - 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:2175 · 21430261 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L1862 : Curtis, PSieve, Srsieve, Rieselprime, LLR
Decimal Digits:430555   (log10 is 430554.800087623)
Rank (*):4702 (digit rank is 1)
Entrance Rank (*):4590
Currently on list? (*):yes
Submitted:3/31/2019 03:43:11 CDT
Last modified:3/31/2019 04:20:22 CDT
Database id:126350
Status Flags:TrialDiv
Score (*):44.0457 (normalized score 1.0494)

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_id126350
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 2175*2^1430261-1 2>&1
Starting Lucas Lehmer Riesel prime test of 2175*2^1430261-1
Using AVX FFT length 100K, Pass1=320, Pass2=320
V1 = 9 ; Computing U0...
V1 = 9 ; Computing U0...done.Starting Lucas-Lehmer loop...


2175*2^1430261-1 is prime! (430555 decimal digits) Time : 665.368 sec.
[Elapsed time: 11.10 minutes]
modified2019-03-31 04:02:07
created2019-03-31 03:51:01
id172031

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.