3177 · 27954621 - 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.

This prime's information:

Description:3177 · 27954621 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L4965 : Propper, LLR
Decimal Digits:2394584   (log10 is 2394583.0271558)
Rank (*):144 (digit rank is 1)
Entrance Rank (*):91
Currently on list? (*):short
Submitted:6/14/2021 04:04:29 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:132399
Status Flags:TrialDiv
Score (*):49.3105 (normalized score 94.0596)

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.
machineUsing: Xeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/llr.pl 3177*2^7954621-1 2>&1 Starting Lucas Lehmer Riesel prime test of 3177*2^7954621-1 Using AVX FFT length 576K, Pass1=128, Pass2=4608 V1 = 3 ; Computing U0... V1 = 3 ; Computing U0...done.Starting Lucas-Lehmer loop... 3177*2^7954621-1 is prime! (2394584 decimal digits) Time : 25318.618 sec. [Elapsed time: 7.03 hours]
modified2022-07-11 18:21:46
created2021-06-14 04:06:02

Query times: 0.0008 seconds to select prime, 0.0007 seconds to seek comments.
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