3075 · 2647205 + 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:3075 · 2647205 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L2085 : Dodson1, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:194832   (log10 is 194831.60618883)
Rank (*):28741 (digit rank is 1)
Entrance Rank (*):4658
Currently on list? (*):no
Submitted:2/22/2011 20:46:49 CDT
Last modified:2/23/2011 06:44:03 CDT
Removed (*):3/6/2011 13:04:18 CDT
Database id:98684
Status Flags:none
Score (*):41.6077 (normalized score 0.0725)

User comments about this prime (disclaimer):

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Bruce Dodson writes (11 Sep 2014):  (report abuse)
Divides xGF(647202,9,5)

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_id98684
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 3075 2 647205 1 2>&1 [Elapsed time: 9.564 seconds]
modified2020-07-07 17:30:32
created2011-02-22 20:48:01
id126719

fieldvalue
prime_id98684
person_id9
machineWinXP Dual Core 2.6GHz Laptop
whatprime
notesCommand: pfgw.exe -n -t -q"3075*2^647205+1" 2>&1 PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Running N-1 test using base 7 N-1: 3075*2^64Primality testing 3075*2^647205+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 3075*2^647205+1 is prime! (1665.5647s+0.0048s) 7205+1[Elapsed time: 1666 seconds]
modified2020-07-07 17:30:32
created2011-02-22 23:51:55
id126810

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
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