115624080541 · 5303# + 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:115624080541 · 5303# + 1
Verification status (*):Proven
Official Comment (*):Arithmetic progression (7,d=10462990078*5303#)
Proof-code(s): (*):p406 : DavisK, Luhn, Underwood, NewPGen, PrimeForm_egroup, OpenPFGW
Decimal Digits:2271   (log10 is 2270.3787472805)
Rank (*):95016 (digit rank is 15)
Entrance Rank (*):92084
Currently on list? (*):short
Submitted:8/19/2019 08:22:33 CDT
Last modified:8/19/2019 08:50:25 CDT
Database id:129844
Status Flags:TrialDiv
Score (*):27.8325 (normalized score 0)

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 5, weight 49.053982117287
Subcategory: "Arithmetic progression (7,d=*)"
(archival tag id 223461, tag last modified 2019-08-19 09:20:22)

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/1/pfgw64 -t -q"115624080541*5303#+1" 2>&1 PFGW Version [GWNUM 27.11] Primality testing 115624080541*5303#+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 33.47% 115624080541*5303#+1 is prime! (0.3356s+0.0003s) [Elapsed time: 1.00 seconds]
modified2020-07-07 17:30:11
created2019-08-19 08:23:14

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