# 3 · 27033641 + 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: 3 · 27033641 + 1 Proven Divides GF(7033639,3) This prime has 1 user comment below. L2233 : Herder, Srsieve, PrimeGrid, LLR 2117338   (log10 is 2117337.3968532) 127 (digit rank is 1) 14 short 2/28/2011 14:41:20 CDT 3/6/2011 12:50:03 CDT 98959 none 48.9334 (normalized score 90.5554)

#### 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.
Generalized Fermat Divisors (bases 3,5,6,10,12) (archivable *)
Prime on list: yes, rank 6, weight 50.032067543444
Subcategory: "Divides GF(*,3)"

PrimeGrid writes (11 Sep 2014):  (report abuse)
 3*2^7033641+1 Divides GF(7033639,3) 3*2^7033641+1 Divides GF(7033639,8) 3*2^7033641+1 Divides xGF(7033640,5,2) 3*2^7033641+1 Divides xGF(7033640,6,5) 3*2^7033641+1 Divides xGF(7033639,7,4) 3*2^7033641+1 Divides xGF(7033637,8,3) 3*2^7033641+1 Divides xGF(7033639,9,8) 3*2^7033641+1 Divides xGF(7033640,10,7) 3*2^7033641+1 Divides xGF(7033640,11,4) 3*2^7033641+1 Divides xGF(7033640,11,7) 3*2^7033641+1 Divides xGF(7033638,11,10) 3*2^7033641+1 Divides xGF(7033638,12,7) 3*2^7033641+1 Divides xGF(7033640,12,11) 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.
fieldvalue
prime_id98959
person_id9
machineRedHat Virtual STEM Server
whatprime
notesCommand: /home/caldwell/client/pfgw -t -q"3*2^7033641+1" 2>&1 PFGW Version 3.3.4.20100405.x86_Stable [GWNUM 25.14] Primality testing 3*2^7033641+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 3*2^7033641+1 is prime! (57160.1453s+0.0399s) [Elapsed time: 15.88 hours]
modified2020-07-07 17:30:32
created2011-02-28 14:43:17
id127308

fieldvalue
prime_id98959
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 3 2 7033641 1 2>&1 [Elapsed time: 10.893 seconds]
modified2020-07-07 17:30:32
created2011-02-28 14:48:02
id127309

Query times: 0.0002 seconds to select prime, 0.0005 seconds to seek comments.