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3615590788605 · 21290000 - 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:3615590788605 · 21290000 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L3203 : Scalise, TwinGen, PrimeGrid, LLR
Decimal Digits:388342   (log10 is 388341.252585807)
Rank (*):8109 (digit rank is 44)
Entrance Rank (*):4959
Currently on list? (*):no
Submitted:7/17/2017 13:18:53 CDT
Last modified:7/17/2017 14:20:17 CDT
Removed (*):8/2/2017 11:41:23 CDT
Database id:123756
Status Flags:TrialDiv
Score (*):43.7286 (normalized score 0.6295)

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.
fieldvalue
prime_id123756
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tp -q"3615590788605*2^1290000-1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 3615590788605*2^1290000-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 7, base 1+sqrt(7) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 3615590788605*2^1290000-1 is prime! (2739.7626s+0.0003s) [Elapsed time: 45.67 minutes]
modified2020-07-07 17:30:15
created2017-07-17 13:23:01
id169406

Query times: 0.0005 seconds to select prime, 0.0008 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.