297 · 21745377 - 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:297 · 21745377 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L2074 : Minovic, PSieve, Srsieve, Rieselprime, LLR
Decimal Digits:525414   (log10 is 525413.30349846)
Rank (*):2865 (digit rank is 1)
Entrance Rank (*):662
Currently on list? (*):yes
Submitted:3/4/2014 03:21:25 CDT
Last modified:3/4/2014 05:52:08 CDT
Database id:117366
Status Flags:TrialDiv
Score (*):44.6574 (normalized score 1.4663)

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_id117366
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 297*2^1745377-1 2>&1 Starting Lucas Lehmer Riesel prime test of 297*2^1745377-1 Using Irrational Base DWT : Mersenne fftlen = 98304, Used fftlen = 114688 V1 = 3 ; Computing U0... V1 = 3 ; Computing U0...done. Starting Lucas-Lehmer loop... 297*2^1745377-1 is prime! Time : 7599.461 sec. [Elapsed time: 2.11 hours]
modified2020-07-07 17:30:17
created2014-03-04 03:23:01
id162884

Query times: 0.0016 seconds to select prime, 0.0005 seconds to seek comments.
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