1033 · 2531444 + 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:1033 · 2531444 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L673 : Samidoost, Srsieve, PrimeGrid, LLR
Decimal Digits:159984   (log10 is 159983.59911597)
Rank (*):35832 (digit rank is 1)
Entrance Rank (*):1653
Currently on list? (*):no
Submitted:2/8/2009 00:06:01 CDT
Last modified:2/8/2009 06:37:51 CDT
Removed (*):8/16/2010 23:37:18 CDT
Database id:86574
Status Flags:none
Score (*):41.0013 (normalized score 0.0279)

User comments about this prime (disclaimer):

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Payam Samidoost writes (11 Sep 2014):  (report abuse)
Divides xGF(531439,12,11)

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/pfgw -t -q"1033*2^531444+1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 1033*2^531444+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(65536,20) to FFT(65536,19) Reduced from FFT(65536,19) to FFT(65536,18) Reduced from FFT(65536,18) to FFT(65536,17) 1062918 bit request FFT size=(65536,17) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 1033*2^531444+1 is prime! (1426.8300s+0.0000s) [Elapsed time: 25.42 minutes]
modified2020-07-07 17:30:38
created2009-02-08 00:08:01

machineRedHat P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 1033 2 531444 1 2>&1 [Elapsed time: 10.056 seconds]
modified2020-07-07 17:30:38
created2009-02-08 00:18:01

Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.
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