909 · 2975659 - 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:909 · 2975659 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1817 : Barnes, PSieve, Srsieve, NPLB, LLR
Decimal Digits:293706   (log10 is 293705.58310341)
Rank (*):23075 (digit rank is 1)
Entrance Rank (*):774
Currently on list? (*):no
Submitted:6/20/2011 18:43:20 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):7/5/2013 01:36:58 UTC
Database id:100541
Status Flags:none
Score (*):42.8701 (normalized score 0.1206)

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_id100541
person_id9
machineRedHat Virtual STEM Server
whatprime
notesCommand: /home/caldwell/client/llr.pl 909*2^975659-1 2>&1 Starting Lucas Lehmer Riesel prime test of 909*2^975659-1 Using Irrational Base DWT : Mersenne fftlen = 49152, Used fftlen = 65536 V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done.Starting Lucas-Lehmer loop... 909*2^975659-1 is prime! Time : 1018.155 sec. [Elapsed time: 17.33 minutes]
modified2020-07-07 22:30:31
created2011-06-20 18:44:33
id130646

fieldvalue
prime_id100541
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 909 2 975659 -1 2>&1 [Elapsed time: 10.052 seconds]
modified2020-07-07 22:30:31
created2011-06-20 18:48:02
id130647

Query times: 0.0025 seconds to select prime, 0.0067 seconds to seek comments.
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