95 · 27778585 + 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:95 · 27778585 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):A2 : Propper, Srsieve, PRST
Decimal Digits:2341590   (log10 is 2341589.3865455)
Rank (*):222 (digit rank is 1)
Entrance Rank (*):185
Currently on list? (*):yes
Submitted:4/24/2024 12:43:34 UTC
Last modified:4/25/2024 07:37:16 UTC
Database id:138008
Status Flags:none
Score (*):49.2419 (normalized score 61.1959)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

Gary B. Gostin writes (26 Apr 2024):  (report abuse)
Divides xGF(7778582,8,5) and xGF(7778584,11,6)

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_id138008
person_id9
machineUsing: Digital Ocean Droplet
whatprime
notesCommand: /var/www/clientpool/1/pfgw64 -V -f -t -q"95*2^7778585+1" >command_output 2>&1
PFGW Version 4.0.4.64BIT.20221214.x86_Dev [GWNUM 30.11]
Primality testing 95*2^7778585+1 [N-1, Brillhart-Lehmer-Selfridge]
trial


Running N-1 test using base 3
Special modular reduction using all-complex AVX-512 FFT length 480K, Pass1=768, Pass2=640, clm=2 on 95*2^7778585+1
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%


95*2^7778585+1 is prime! (20791.6868s+0.0040s)
[Elapsed time: 5.78 hours]
modified2024-04-25 06:48:26
created2024-04-25 01:01:51
id183850

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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