96584 · 596584 - 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.

Description:96584 · 596584 - 1
Verification status (*):Proven
Official Comment (*):Generalized Woodall
Proof-code(s): (*):p120 : Minovic, MultiSieve, GenWoodall, OpenPFGW
Decimal Digits:67515   (log10 is 67514.3038039777)
Rank (*):49974 (digit rank is 1)
Entrance Rank (*):1302
Currently on list? (*):no
Submitted:6/21/2004 16:39:31 CDT
Last modified:6/21/2004 16:39:31 CDT
Database id:70749
Status Flags:none
Score (*):38.3434 (normalized score 0.0024)

Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper.  Such primes are tracked with archival tags.
Generalized Woodall (archivable *)
Prime on list: no, rank 99
Subcategory: "Generalized Woodall"
(archival tag id 188684, tag last modified 2019-11-26 12:20:12)

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_id70749
person_id9
machineLinux P4 2.8GHz
whatprime
notesCommand: /home/caldwell/client/pfgw -f -tp -q"96584*5^96584-1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 96584*5^96584-1 [N+1, Brillhart-Lehmer-Selfridge] trial factoring to 22397624 Running N+1 test using discriminant 3, base 1+sqrt(3) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(28672,20) to FFT(28672,19) Reduced from FFT(28672,19) to FFT(28672,18) Reduced from FFT(28672,18) to FFT(28672,17) Reduced from FFT(28672,17) to FFT(28672,16) 448572 bit request FFT size=(28672,16) Running N+1 test using discriminant 3, base 3+sqrt(3) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(28672,20) to FFT(28672,19) Reduced from FFT(28672,19) to FFT(28672,18) Reduced from FFT(28672,18) to FFT(28672,17) Reduced from FFT(28672,17) to FFT(28672,16) 448572 bit request FFT size=(28672,16) Running N+1 test using discriminant 3, base 4+sqrt(3) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(28672,20) to FFT(28672,19) Reduced from FFT(28672,19) to FFT(28672,18) Reduced from FFT(28672,18) to FFT(28672,17) Reduced from FFT(28672,17) to FFT(28672,16) 448572 bit request FFT size=(28672,16) Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 96584*5^96584-1 is prime! (-1818.7546s+0.0100s)
modified2020-07-07 17:30:45
created2004-06-21 16:53:00
id75722

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.