415267 · 23771929 - 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:||415267 · 23771929 - 1|
|Verification status (*):||Proven|
|Official Comment (*):||[none]|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||L2373 : Tarasov1, Srsieve, PrimeGrid, LLR|
|Decimal Digits:||1135470 (log10 is 1135469.3888423)|
|Rank (*):||619 (digit rank is 1)|
|Entrance Rank (*):||29|
|Currently on list? (*):||short|
|Submitted:||5/13/2011 22:55:16 UTC|
|Last modified:||3/11/2023 15:54:10 UTC|
|Score (*):||47.0228 (normalized score 9.3481)|
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 100064 person_id 9 machine RedHat Virtual STEM Server what prime notes Command: /home/caldwell/client/llr.pl 415267*2^3771929-1 2>&1 Starting Lucas Lehmer Riesel prime test of 415267*2^3771929-1 Using Zero Padded IBDWT : Mersenne fftlen = 196608, Used fftlen = 393216 V1 = 4 ; Computing U0... V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop... 415267*2^3771929-1 is prime! Time : 25207.058 sec. [Elapsed time: 7.00 hours] modified 2020-07-07 22:30:31 created 2011-05-13 22:56:58 id 129654
field value prime_id 100064 person_id 9 machine Ditto P4 P4 what trial_divided notes Command: /home/ditto/client/TrialDiv/TrialDiv -q 415267 2 3771929 -1 2>&1 [Elapsed time: 10.617 seconds] modified 2020-07-07 22:30:31 created 2011-05-13 23:05:01 id 129655
Query times: 0.0003 seconds to select prime, 0.0005 seconds to seek comments.
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