220502!2 + 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:220502!2 + 1
Verification status (*):Proven
Official Comment (*):Multifactorial
Proof-code(s): (*):p394 : Fukui, MultiSieve, OpenPFGW
Decimal Digits:541239   (log10 is 541238.094529136)
Rank (*):2583 (digit rank is 1)
Entrance Rank (*):1362
Currently on list? (*):yes
Submitted:1/17/2017 07:36:03 CDT
Last modified:1/17/2017 13:20:23 CDT
Database id:122753
Status Flags:TrialDiv
Score (*):44.7485 (normalized score 1.6625)

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.
Multifactorial (tolerated *)
Prime on list: no, rank 2
Subcategory: "Multifactorial"
(archival tag id 218573, tag last modified 2019-05-26 21:50:27)

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_id122753
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -t -q"220502!2+1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 220502!2+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 110261 Running N-1 test using base 110291 Calling Brillhart-Lehmer-Selfridge with factored part 33.91% 220502!2+1 is prime! (18683.1131s+1.8373s) [Elapsed time: 5.19 hours]
modified2020-07-07 17:30:16
created2017-01-17 07:43:01
id168396

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.