3555 · 21542813 - 4953427788675 · 21290000 - 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:3555 · 21542813 - 4953427788675 · 21290000 - 1
Verification status (*):Proven
Official Comment (*):Arithmetic progression (3,d=3555*2^1542812-4953427788675*2^1290000)
Proof-code(s): (*):p363 : Batalov, OpenPFGW
Decimal Digits:464437   (log10 is 464436.541539939)
Rank (*):4477 (digit rank is 1)
Entrance Rank (*):4281
Currently on list? (*):short
Submitted:4/17/2020 21:34:51 CDT
Last modified:4/18/2020 01:50:21 CDT
Database id:130840
Status Flags:TrialDiv
Score (*):44.2784 (normalized score 1.0827)

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.
Arithmetic Progressions of Primes (archivable class *)
Prime on list: yes, rank 1, weight 51.7739902061778
Subcategory: "Arithmetic progression (3,d=*)"
(archival tag id 223968, tag last modified 2020-04-18 01:50:26)

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.
machineUsing: Xeon (pool) 4c+4c 3.5GHz
notesCommand: /home/caldwell/clientpool/4/pfgw64 -tp -q"3555*2^1542813-4953427788675*2^1290000-1" 2>&1 PFGW Version [GWNUM 29.8] Primality testing 3555*2^1542813-4953427788675*2^1290000-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 11, base 1+sqrt(11) Calling Brillhart-Lehmer-Selfridge with factored part 83.61% 3555*2^1542813-4953427788675*2^1290000-1 is prime! (13877.7521s+0.0014s) [Elapsed time: 3.85 hours]
modified2020-07-07 17:30:10
created2020-04-17 21:41:02

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