1372930131072 + 1
|Description:||1372930131072 + 1|
|Verification status (*):||Proven|
|Official Comment (*):||Generalized Fermat|
|Proof-code(s): (*):||g236 : Heuer, GFN17Sieve, GFNSearch, Proth.exe|
|Decimal Digits:||804474 (log10 is 804473.85042012)|
|Rank (*):||1767 (digit rank is 1)|
|Entrance Rank (*):||5|
|Currently on list? (*):||short|
|Submitted:||9/22/2003 03:35:09 CDT|
|Last modified:||9/22/2003 03:35:09 CDT|
|Score (*):||45.9653 (normalized score 4.5692)|
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 66324 person_id 9 machine Linux P4 2.8GHz what prime notes Command: /home/caldwell/client/pfgw -f -t -q"1372930^131072+1" 2>&1 PFGW Version 20030811.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] trial factoring to 313234612 Running N-1 test using base 3 Primality testing 1372930^131072+1 [N-1, Brillhart-Lehmer-Selfridge] Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(393216,19) to FFT(393216,18) Reduced from FFT(393216,18) to FFT(393216,17) Reduced from FFT(393216,17) to FFT(393216,16) 5344818 bit request FFT size=(393216,16) Calling Brillhart-Lehmer-Selfridge with factored part 36.71% 1372930^131072+1 is prime! (-933.3621s+0.2200s) modified 2020-07-07 17:30:47 created 2003-09-22 03:53:01 id 71216
Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.
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