13984 · 24397259 + 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:13984 · 24397259 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L4806 : Rajala, Srsieve, CRUS, LLR
Decimal Digits:548306   (log10 is 548305.483302526)
Rank (*):2487 (digit rank is 1)
Entrance Rank (*):2128
Currently on list? (*):yes
Submitted:10/17/2019 08:47:48 CDT
Last modified:10/17/2019 09:50:09 CDT
Database id:130040
Status Flags:TrialDiv
Score (*):44.7883 (normalized score 1.7551)

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_id130040
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"13984*24^397259+1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 13984*24^397259+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Calling Brillhart-Lehmer-Selfridge with factored part 65.43% 13984*24^397259+1 is prime! (1983.2679s+0.0058s) [Elapsed time: 33.05 minutes]
modified2020-07-07 17:30:10
created2019-10-17 08:51:01
id175725

Query times: 0.0008 seconds to select prime, 0.0005 seconds to seek comments.
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