28571 · 2454482 - 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:28571 · 2454482 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L257 : Ritschel, Srsieve, Rieselprime, LLR
Decimal Digits:136818   (log10 is 136817.1704148)
Rank (*):43473 (digit rank is 2)
Entrance Rank (*):3777
Currently on list? (*):no
Submitted:6/2/2009 07:25:28 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):9/25/2009 03:13:07 UTC
Database id:88638
Status Flags:none
Score (*):40.5197 (normalized score 0.0117)

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_id88638
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 28571 2 454482 -1 2>&1 [Elapsed time: 9.891 seconds]
modified2020-07-07 22:30:37
created2009-06-02 07:35:01
id106642

fieldvalue
prime_id88638
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/llr.pl 28571*2^454482-1 2>&1 Starting Lucas Lehmer Riesel prime test of 28571*2^454482-1 Using Irrational Base DWT : Mersenne fftlen = 24576, Used fftlen = 40960 V1 = 4 ; Computing U0... V1 = 4 ; Computing U0...done. Starting Lucas-Lehmer loop... 28571*2^454482-1 is prime! Time : 523.078 sec. [Elapsed time: 8.72 minutes]
modified2020-07-07 22:30:37
created2009-06-02 07:38:02
id106645

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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