2655 · 2696157 + 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:2655 · 2696157 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L2532 : Papp2, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:209568   (log10 is 209567.56275598)
Rank (*):30185 (digit rank is 1)
Entrance Rank (*):3258
Currently on list? (*):no
Submitted:9/3/2011 13:38:13 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):2/9/2012 08:23:22 UTC
Database id:101646
Status Flags:none
Score (*):41.8321 (normalized score 0.0434)

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.

Gergely Papp writes (11 Sep 2014):  (report abuse)
Divides xGF(696156,11,5)

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_id101646
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 2655 2 696157 1 2>&1 [Elapsed time: 10.186 seconds]
modified2020-07-07 22:30:31
created2011-09-03 13:48:52
id132817

fieldvalue
prime_id101646
person_id9
machineRedHat Virtual STEM Server
whatprime
notesCommand: /home/caldwell/client/pfgw -t -q"2655*2^696157+1" 2>&1 PFGW Version 3.3.4.20100405.x86_Stable [GWNUM 25.14] Primality testing 2655*2^696157+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 2655*2^696157+1 is prime! (637.8471s+0.0008s) [Elapsed time: 10.62 minutes]
modified2020-07-07 22:30:31
created2011-09-03 20:04:02
id132898

Query times: 0.0003 seconds to select prime, -0.9997 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.