15015 · 2308560 - 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:15015 · 2308560 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L94 : Abraham, LLR
Decimal Digits:92890   (log10 is 92889.991987415)
Rank (*):52417 (digit rank is 1)
Entrance Rank (*):2498
Currently on list? (*):no
Submitted:4/8/2006 00:19:40 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):5/28/2007 23:31:39 UTC
Database id:77532
Status Flags:none
Score (*):39.327 (normalized score 0.0034)

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_id77532
person_id9
machineWinXP Pent_M 1.7GHz Laptop
whatprime
notesCommand: pfgw.exe -n -tp -q"15015*2^308560-1" 2>&1 PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Running N+1 test using discriminant 17, base 1+sqrt(17) N+1: 15015*2^308560-1 265000/Primality testing 15015*2^308560-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 15015*2^308560-1 is prime! (2949.9032s+0.0008s) 308575 [Elapsed time: 2949 seconds]
modified2020-07-07 22:30:42
created2006-04-08 01:16:00
id84043

fieldvalue
prime_id77532
person_id9
machineGenToo P3 400MHz
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 15015 2 308560 -1 2>&1 [Elapsed time: 9.614 seconds]
modified2020-07-07 22:30:42
created2006-07-07 12:57:37
id85036

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