35 · 2831411 + 1
At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important PrimePages database: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.
This prime's information:
|Description:||35 · 2831411 + 1|
|Verification status (*):||Proven|
|Official Comment (*):||Divides GF(831410,3)|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||g279 : Cooper, NewPGen, PRP, Proth.exe|
|Decimal Digits:||250282 (log10 is 250281.19379303)|
|Rank (*):||22913 (digit rank is 1)|
|Entrance Rank (*):||160|
|Currently on list? (*):||no|
|Submitted:||6/5/2006 23:44:34 CDT|
|Last modified:||7/7/2006 00:52:55 CDT|
|Score (*):||42.3781 (normalized score 0.1047)|
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 77910 person_id 9 machine WinXP Pent_M 1.7GHz Laptop what prime notes Command: pfgw.exe -n -t -q"35*2^831411+1" 2>&1 PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Running N-1 test using base 3 N-1: 35*2^831411+1 622Primality testing 35*2^831411+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 35*2^831411+1 is prime! (9137.9324s+0.0457s) 500/831418 [Elapsed time: 9138 seconds] modified 2020-07-07 17:30:42 created 2006-06-06 00:44:43 id 84455
field value prime_id 77910 person_id 9 machine GenToo P3 400MHz what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 35 2 831411 1 2>&1 [Elapsed time: 9.839 seconds] modified 2020-07-07 17:30:42 created 2006-07-07 00:52:45 id 84638