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219 · 248877 - 1
|Description:||219 · 248877 - 1|
|Verification status (*):||Proven|
|Official Comment (*):||Arithmetic progression (1,d=(700000077*2^54820-219)*2^48877) [x12]|
|Proof-code(s): (*):||g78 : Herranen, Proth.exe|
|Decimal Digits:||14716 (log10 is 14715.7835421833)|
|Rank (*):||70993 (digit rank is 1)|
|Entrance Rank (*):||506|
|Currently on list? (*):||no|
|Submitted:||11/8/1998 01:25:18 CDT|
|Last modified:||11/8/1998 01:25:18 CDT|
|Score (*):||33.6368 (normalized score 0)|
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 12945 person_id 9 machine Windows XP P4 1.8GHz what prime notes Primality testing 219*2^48877-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 219*2^48877-1 is prime! (79.640000 seconds) PFGW Version 1.1 for Windows Running N+1 test using discriminant 5, base 1+sqrt(5) modified 2003-03-25 11:25:18 created 2002-12-10 11:11:11 id 36546
Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
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