15 · 21597510 + 1

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Description:15 · 21597510 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):g279 : Cooper, NewPGen, PRP, Proth.exe
Decimal Digits:480900   (log10 is 480899.60446443)
Rank (*):4934 (digit rank is 1)
Entrance Rank (*):38
Currently on list? (*):yes
Submitted:8/19/2006 02:48:33 CDT
Last modified:8/19/2006 07:12:03 CDT
Database id:78327
Status Flags:none
Score (*):44.3854 (normalized score 1.0091)

User comments about this prime (disclaimer):

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Curtis Cooper writes (11 Sep 2014):  (report abuse)
15*2^1597510+1 is a Factor of xGF(1597505,5,3)
15*2^1597510+1 is a Factor of GF(1597509,7)

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_id78327
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 15 2 1597510 1 2>&1 [Elapsed time: 9.950 seconds]
modified2020-07-07 17:30:42
created2006-08-19 02:52:01
id85753

fieldvalue
prime_id78327
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/pfgw -t -q"15*2^1597510+1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 15*2^1597510+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(196608,19) to FFT(196608,18) Reduced from FFT(196608,18) to FFT(196608,17) 3195036 bit request FFT size=(196608,17) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 15*2^1597510+1 is prime! (15541.4179s+0.0014s) [Elapsed time: 15542 seconds]
modified2020-07-07 17:30:42
created2006-08-19 02:53:01
id85754

Query times: 0.0006 seconds to select prime, 0.0012 seconds to seek comments.
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