2245 · 21305744 + 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:2245 · 21305744 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L3945 : DelGrosso, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:393072   (log10 is 393071.46187461)
Rank (*):12969 (digit rank is 1)
Entrance Rank (*):2363
Currently on list? (*):no
Submitted:2/10/2015 23:00:42 UTC
Last modified:5/20/2023 20:59:19 UTC
Removed (*):12/30/2017 10:39:47 UTC
Database id:119283
Status Flags:none
Score (*):43.7658 (normalized score 0.3524)

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_id119283
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"2245*2^1305744+1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 2245*2^1305744+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 2245*2^1305744+1 is prime! (647.5320s+0.0006s) [Elapsed time: 10.80 minutes]
modified2020-07-07 22:30:17
created2015-02-10 23:01:01
id164889

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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