217499 · 28470508 - 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:||217499 · 28470508 - 1|
|Verification status (*):||Proven|
|Official Comment (*):||[none]|
|Proof-code(s): (*):||p366 : Demeyer, Siemelink, Srsieve, CRUS, OpenPFGW|
|Decimal Digits:||680905 (log10 is 680904.76846803)|
|Rank (*):||3796 (digit rank is 1)|
|Entrance Rank (*):||202|
|Currently on list? (*):||yes|
|Submitted:||10/2/2013 19:30:33 UTC|
|Last modified:||5/20/2023 20:59:19 UTC|
|Score (*):||45.4534 (normalized score 1.8819)|
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 115778 person_id 9 machine RedHat P4 P4 what prime notes Command: /home/caldwell/client/pfgw -tp -q"217499*28^470508-1" 2>&1 PFGW Version 22.214.171.124BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 217499*28^470508-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Calling Brillhart-Lehmer-Selfridge with factored part 58.40% 217499*28^470508-1 is prime! (132513.8375s+0.0516s) [Elapsed time: 1.53 days] modified 2020-07-07 22:30:18 created 2013-10-02 19:38:04 id 161272