256803 · 2234518 - 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:256803 · 2234518 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L180 : Felder, NewPGen, LLR
Decimal Digits:70603   (log10 is 70602.362123218)
Rank (*):54911 (digit rank is 1)
Entrance Rank (*):4878
Currently on list? (*):no
Submitted:5/30/2006 14:23:49 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):6/20/2006 20:05:36 UTC
Database id:77869
Status Flags:none
Score (*):38.4813 (normalized score 0.0015)

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_id77869
person_id9
machineWinXP P4 2.2GHz By K
whatprime
notesCommand: pfgw.exe -n -f -tp -q"256803*2^234518-1" 2>&1 PFGW Version 1.2.0 for Windows [FFT v23.8] Primality testing 256803*2^234518-1 [N+1, Brillhart-Lehmer-Selfridge] trial factoring to 23495471 Running N+1 test using discriminant 11, base 1+sqrt(11) Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 256803*2^234518-1 is prime! (1715.9327s+0.0937s) [Elapsed time: 1722 seconds]
modified2020-07-07 22:30:42
created2006-05-30 15:07:29
id84412

fieldvalue
prime_id77869
person_id9
machineGenToo P3 400MHz
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 256803 2 234518 -1 2>&1 [Elapsed time: 9.173 seconds]
modified2020-07-07 22:30:42
created2006-07-07 15:35:38
id85214

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.