45 · 27513661 + 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:45 · 27513661 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 2 user comments below.
Proof-code(s): (*):L5179 : Okazaki, LLR2, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:2261839   (log10 is 2261838.9914631)
Rank (*):115 (digit rank is 1)
Entrance Rank (*):73
Currently on list? (*):short
Submitted:11/12/2020 14:54:15 CDT
Last modified:11/12/2020 21:20:24 CDT
Database id:131399
Status Flags:TrialDiv
Score (*):49.1357 (normalized score 107.6629)

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.

PrimeGrid writes (12 Nov 2020):  (report abuse)
Divides xGF(7513657,10,9).

PrimeGrid writes (22 Nov 2020):  (report abuse)
For more information, please see the Official Announcement.

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"45*2^7513661+1" 2>&1 PFGW Version [GWNUM 29.8] Primality testing 45*2^7513661+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 45*2^7513661+1 is prime! (21774.3925s+0.0038s) [Elapsed time: 6.05 hours]
modified2021-04-20 17:39:26
created2020-11-12 14:56:01

Query times: 0.0004 seconds to select prime, 0.001 seconds to seek comments.
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