1619901360387 · 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.

This prime's information:

Description:1619901360387 · 21290000 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L3997 : Jackson1, TwinGen, PrimeGrid, LLR
Decimal Digits:388341   (log10 is 388340.90389511)
Rank (*):16310 (digit rank is 339)
Entrance Rank (*):2330
Currently on list? (*):no
Submitted:12/2/2014 17:24:28 UTC
Last modified:5/20/2023 20:59:19 UTC
Removed (*):6/17/2016 22:58:12 UTC
Database id:118856
Status Flags:none
Score (*):43.7286 (normalized score 0.2898)

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_id118856
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tp -q"1619901360387*2^1290000-1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 1619901360387*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% 1619901360387*2^1290000-1 is prime! (2732.5915s+0.0007s) [Elapsed time: 45.55 minutes]
modified2020-07-07 22:30:17
created2014-12-02 17:31:01
id164457

Query times: 0.0043 seconds to select prime, 0.0003 seconds to seek comments.
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