94112 · 11188224 - 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:94112 · 11188224 - 1
Verification status (*):Proven
Official Comment (*):Generalized Woodall
Proof-code(s): (*):p274 : Domanov1, Gcwsieve, MultiSieve, PrimeGrid, OpenPFGW
Decimal Digits:196021   (log10 is 196020.07041622)
Rank (*):28566 (digit rank is 1)
Entrance Rank (*):2256
Currently on list? (*):no
Submitted:5/19/2010 00:28:26 CDT
Last modified:5/19/2010 16:50:28 CDT
Database id:92723
Status Flags:none
Score (*):41.6265 (normalized score 0.0743)

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 58
Subcategory: "Generalized Woodall"
(archival tag id 210674, 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_id92723
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 94112 11 188224 -1 2>&1 [Elapsed time: 9.164 seconds]
modified2020-07-07 17:30:35
created2010-05-19 00:35:02
id114826

fieldvalue
prime_id92723
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/pfgw -tp -q"94112*11^188224-1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 94112*11^188224-1 [N+1, Brillhart-Lehmer-Selfridge] 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(81920,20) to FFT(81920,19) Reduced from FFT(81920,19) to FFT(81920,18) Reduced from FFT(81920,18) to FFT(81920,17) Reduced from FFT(81920,17) to FFT(81920,16) 1302346 bit request FFT size=(81920,16) 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(81920,20) to FFT(81920,19) Reduced from FFT(81920,19) to FFT(81920,18) Reduced from FFT(81920,18) to FFT(81920,17) Reduced from FFT(81920,17) to FFT(81920,16) 1302346 bit request FFT size=(81920,16) Running N+1 test using discriminant 3, base 6+sqrt(3) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(81920,20) to FFT(81920,19) Reduced from FFT(81920,19) to FFT(81920,18) Reduced from FFT(81920,18) to FFT(81920,17) Reduced from FFT(81920,17) to FFT(81920,16) 1302346 bit request FFT size=(81920,16) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 94112*11^188224-1 is prime! (56781.6324s+0.0447s) [Elapsed time: 15.77 hours]
modified2020-07-07 17:30:35
created2010-05-19 00:38:01
id114827

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.