10059 · 2643787 - 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:10059 · 2643787 - 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):p77 : Harvey, MultiSieve, GenWoodall, OpenPFGW
Decimal Digits:193804   (log10 is 193803.20037334)
Rank (*):35063 (digit rank is 2)
Entrance Rank (*):1318
Currently on list? (*):no
Submitted:7/7/2009 19:59:28 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):2/27/2011 00:16:42 UTC
Database id:89167
Status Flags:none
Score (*):41.5915 (normalized score 0.0341)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

Steven Harvey writes (11 Sep 2014):  (report abuse)
80472*256^80473-1 Near Generalized Woodall

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_id89167
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 10059 2 643787 -1 2>&1 [Elapsed time: 10.231 seconds]
modified2020-07-07 22:30:37
created2009-07-07 20:05:02
id107700

fieldvalue
prime_id89167
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/llr.pl 10059*2^643787-1 2>&1 Starting Lucas Lehmer Riesel prime test of 10059*2^643787-1 Using Irrational Base DWT : Mersenne fftlen = 32768, Used fftlen = 49152 V1 = 9 ; Computing U0... V1 = 9 ; Computing U0...done. Starting Lucas-Lehmer loop... 10059*2^643787-1 is prime! Time : 881.270 sec. [Elapsed time: 14.68 minutes]
modified2020-07-07 22:30:37
created2009-07-07 20:08:02
id107701

Query times: 0.0003 seconds to select prime, 0.0003 seconds to seek comments.
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