261 · 2895203 + 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:261 · 2895203 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L1446 : Harvey, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:269486   (log10 is 269485.37184889)
Rank (*):18541 (digit rank is 1)
Entrance Rank (*):848
Currently on list? (*):no
Submitted:1/31/2011 15:12:22 CDT
Last modified:1/31/2011 18:50:51 CDT
Removed (*):1/7/2013 17:21:38 CDT
Database id:97895
Status Flags:none
Score (*):42.6055 (normalized score 0.1973)

User comments about this prime (disclaimer):

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Steven Harvey writes (11 Sep 2014):  (report abuse)
261*2^895203+1 is a Factor of xGF(895200,5,4) and is a Factor of xGF(895202,7,2)

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_id97895
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 261 2 895203 1 2>&1 [Elapsed time: 10.105 seconds]
modified2020-07-07 17:30:32
created2011-01-31 15:18:02
id125170

fieldvalue
prime_id97895
person_id9
machineRedHat Virtual STEM Server
whatprime
notesCommand: /home/caldwell/client/pfgw -t -q"261*2^895203+1" 2>&1 PFGW Version 3.3.4.20100405.x86_Stable [GWNUM 25.14] Primality testing 261*2^895203+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 261*2^895203+1 is prime! (922.4190s+0.0007s) [Elapsed time: 15.37 minutes]
modified2020-07-07 17:30:32
created2011-01-31 18:28:53
id125182

Query times: 0.0005 seconds to select prime, 0.0008 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.