143 · 2859769 + 1

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Description:143 · 2859769 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L669 : Harvey, Srsieve, PrimeGrid, LLR
Decimal Digits:258819   (log10 is 258818.41367806)
Rank (*):19347 (digit rank is 1)
Entrance Rank (*):431
Currently on list? (*):no
Submitted:7/15/2009 10:21:25 CDT
Last modified:7/15/2009 12:20:22 CDT
Removed (*):10/2/2012 05:35:02 CDT
Database id:89283
Status Flags:none
Score (*):42.4813 (normalized score 0.1743)

User comments about this prime (disclaimer):

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Steven Harvey writes (11 Sep 2014):  (report abuse)
143*2^859769+1 is a Factor of xGF(859768,11,10) and xGF(859766,12,7)

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_id89283
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/pfgw -t -q"143*2^859769+1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 143*2^859769+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(114688,20) to FFT(114688,19) Reduced from FFT(114688,19) to FFT(114688,18) Reduced from FFT(114688,18) to FFT(114688,17) Reduced from FFT(114688,17) to FFT(114688,16) 1719562 bit request FFT size=(114688,16) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 143*2^859769+1 is prime! (6426.2301s+0.0008s) [Elapsed time: 1.78 hours]
modified2020-07-07 17:30:37
created2009-07-15 10:23:02
id107932

fieldvalue
prime_id89283
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 143 2 859769 1 2>&1 [Elapsed time: 10.433 seconds]
modified2020-07-07 17:30:37
created2009-07-15 10:35:22
id107935

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