22835841624 · 754321 - 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:22835841624 · 754321 - 1
Verification status (*):Proven
Official Comment (*):Twin (p)
Proof-code(s): (*):p296 : Kaiser1, Srsieve, LLR, OpenPFGW
Decimal Digits:45917   (log10 is 45916.929248637)
Rank (*):58929 (digit rank is 2)
Entrance Rank (*):29543
Currently on list? (*):no
Submitted:11/12/2010 08:04:05 CDT
Last modified:11/12/2010 08:50:33 CDT
Database id:96137
Status Flags:none
Score (*):37.1541 (normalized score 0.0005)

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.
Twin Primes (archivable *)
Prime on list: no, rank 21
Subcategory: "Twin (p)"
(archival tag id 211216, tag last modified 2022-02-22 22:37:26)

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 22835841624 7 54321 -1 2>&1 [Elapsed time: 8.216 seconds]
modified2020-07-07 17:30:33
created2010-11-12 08:05:01

machineDitto P4 P4
notesCommand: /home/ditto/client/pfgw -tp -q"22835841624*7^54321-1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 22835841624*7^54321-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 5, base 1+sqrt(5) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(20480,20) to FFT(20480,19) Reduced from FFT(20480,19) to FFT(20480,18) Reduced from FFT(20480,18) to FFT(20480,17) Reduced from FFT(20480,17) to FFT(20480,16) 305082 bit request FFT size=(20480,16) Calling Brillhart-Lehmer-Selfridge with factored part 99.98% 22835841624*7^54321-1 is prime! (776.3800s+0.0100s) [Elapsed time: 13.07 minutes]
modified2020-07-07 17:30:33
created2010-11-12 08:08:01

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.