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2209 · 2524186 + 1
|Description:||2209 · 2524186 + 1|
|Verification status (*):||Proven|
|Official Comment (*):||Generalized Fermat|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||L1180 : Morris1, PSieve, Srsieve, PrimeGrid, LLR|
|Decimal Digits:||157800 (log10 is 157799.05350284)|
|Rank (*):||34670 (digit rank is 1)|
|Entrance Rank (*):||4737|
|Currently on list? (*):||no|
|Submitted:||7/9/2010 14:36:48 CDT|
|Last modified:||7/10/2010 08:20:03 CDT|
|Removed (*):||7/27/2010 14:43:34 CDT|
|Score (*):||40.959 (normalized score 0.0331)|
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.
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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 93496 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 2209 2 524186 1 2>&1 [Elapsed time: 9.714 seconds] modified 2020-07-07 17:30:34 created 2010-07-09 14:48:21 id 116356
field value prime_id 93496 person_id 9 machine RedHat P4 P4 what prime notes Command: /home/caldwell/client/pfgw -t -q"2209*2^524186+1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 2209*2^524186+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) Reduced from FFT(65536,17) to FFT(65536,16) 1048404 bit request FFT size=(65536,16) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 2209*2^524186+1 is prime! (1424.9400s+0.0000s) [Elapsed time: 23.92 minutes] modified 2020-07-07 17:30:34 created 2010-07-09 15:29:50 id 116358
Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.
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