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2 · 10748043 + 1
|Description:||2 · 10748043 + 1|
|Verification status (*):||Proven|
|Official Comment (*):||Divides Phi(107^48042,2)|
|Proof-code(s): (*):||gb1 : Buechel, Keller, PRP, Proth.exe|
|Decimal Digits:||97498 (log10 is 97497.9858613262)|
|Rank (*):||45497 (digit rank is 1)|
|Entrance Rank (*):||550|
|Currently on list? (*):||no|
|Submitted:||4/15/2004 16:30:31 CDT|
|Last modified:||4/15/2004 16:30:31 CDT|
|Score (*):||39.4762 (normalized score 0.0088)|
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.
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 69908 person_id 9 machine Linux P4 2.8GHz what prime notes Command: /home/caldwell/client/pfgw -f -t -q"2*107^48043+1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 2*107^48043+1 [N-1, Brillhart-Lehmer-Selfridge] trial factoring to 33177831 Running N-1 test using base 5 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(40960,20) to FFT(40960,19) Reduced from FFT(40960,19) to FFT(40960,18) Reduced from FFT(40960,18) to FFT(40960,17) Reduced from FFT(40960,17) to FFT(40960,16) 647772 bit request FFT size=(40960,16) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 2*107^48043+1 is prime! (3400.0280s+0.0474s) modified 2020-07-07 17:30:45 created 2004-04-15 16:46:10 id 74864
Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
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