4053 · 2532219 - 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:4053 · 2532219 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L268 : Metcalfe, Srsieve, Rieselprime, LLR
Decimal Digits:160218   (log10 is 160217.49103889)
Rank (*):39518 (digit rank is 2)
Entrance Rank (*):3476
Currently on list? (*):no
Submitted:1/29/2010 16:54:25 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):8/17/2010 21:12:05 UTC
Database id:91573
Status Flags:none
Score (*):41.0058 (normalized score 0.019)

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_id91573
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 4053 2 532219 -1 2>&1 [Elapsed time: 10.078 seconds]
modified2020-07-07 22:30:36
created2010-01-29 17:05:02
id112521

fieldvalue
prime_id91573
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/llr.pl 4053*2^532219-1 2>&1 Starting Lucas Lehmer Riesel prime test of 4053*2^532219-1 Using Irrational Base DWT : Mersenne fftlen = 28672, Used fftlen = 40960 V1 = 3 ; Computing U0... V1 = 3 ; Computing U0...done. Starting Lucas-Lehmer loop... 4053*2^532219-1 is prime! Time : 595.578 sec. [Elapsed time: 9.93 minutes]
modified2020-07-07 22:30:36
created2010-01-29 17:08:01
id112522

Query times: 0.0007 seconds to select prime, 0.0004 seconds to seek comments.
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