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.

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 (*):1681 (digit rank is 1)
Entrance Rank (*):202
Currently on list? (*):yes
Submitted:10/2/2013 14:30:33 CDT
Last modified:10/4/2013 03:50:30 CDT
Database id:115778
Status Flags:TrialDiv
Score (*):45.4534 (normalized score 3.3601)

Verification data:

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.
machineRedHat P4 P4
notesCommand: /home/caldwell/client/pfgw -tp -q"217499*28^470508-1" 2>&1 PFGW Version [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]
modified2020-07-07 17:30:18
created2013-10-02 14:38:04

Query times: 0.0018 seconds to select prime, 0.0005 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.