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7 · 22139912 + 1
|Description:||7 · 22139912 + 1|
|Verification status (*):||Proven|
|Official Comment (*):||Divides GF(2139911,12)|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||g279 : Cooper, NewPGen, PRP, Proth.exe|
|Decimal Digits:||644179 (log10 is 644178.54517934)|
|Rank (*):||1814 (digit rank is 1)|
|Entrance Rank (*):||34|
|Currently on list? (*):||short|
|Submitted:||5/12/2007 15:05:08 CDT|
|Last modified:||8/22/2007 22:50:03 CDT|
|Score (*):||45.2832 (normalized score 2.9585)|
There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper. Such primes are tracked with archival tags.
User comments about this prime (disclaimer):
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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.
field value prime_id 80448 person_id 9 machine RedHat P4 P4 what prime notes Command: /home/caldwell/client/pfgw -t -q"7*2^2139912+1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 7*2^2139912+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(262144,19) to FFT(262144,18) Reduced from FFT(262144,18) to FFT(262144,17) 4279838 bit request FFT size=(262144,17) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 7*2^2139912+1 is prime! (-2041.6784s+0.0000s) [Elapsed time: 33487 seconds] modified 2020-07-07 17:30:41 created 2007-05-12 15:10:15 id 89991
field value prime_id 80448 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 7 2 2139912 1 2>&1 [Elapsed time: 10.434 seconds] modified 2020-07-07 17:30:41 created 2007-05-12 15:22:01 id 89992
Query times: 0.0023 seconds to select prime, 0.0006 seconds to seek comments.
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