415 · 23559614 + 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:415 · 23559614 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L3035 : Scalise, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:1071554   (log10 is 1071553.2050335)
Rank (*):1382 (digit rank is 1)
Entrance Rank (*):134
Currently on list? (*):short
Submitted:10/8/2016 14:13:20 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:122339
Status Flags:none
Score (*):46.845 (normalized score 6.1208)

User comments about this prime (disclaimer):

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PrimeGrid writes (27 Nov 2016):  (report abuse)
Divides xGF(3559613,9,7)

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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.
machineUsing: Xeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"415*2^3559614+1" 2>&1 PFGW Version [GWNUM 27.11] Primality testing 415*2^3559614+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 415*2^3559614+1 is prime! (5252.1279s+0.0012s) [Elapsed time: 87.53 minutes]
modified2020-07-07 22:30:16
created2016-10-08 14:21:02

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
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