4455 · 21238519 + 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:4455 · 21238519 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1733 : Murphy, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:372836   (log10 is 372835.01804747)
Rank (*):12035 (digit rank is 1)
Entrance Rank (*):2818
Currently on list? (*):no
Submitted:1/22/2014 11:56:16 CDT
Last modified:1/22/2014 15:20:57 CDT
Removed (*):2/28/2015 06:13:25 CDT
Database id:116975
Status Flags:TrialDiv
Score (*):43.6034 (normalized score 0.5513)

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_id116975
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/pfgw -t -q"4455*2^1238519+1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 4455*2^1238519+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 4455*2^1238519+1 is prime! (4184.8416s+0.0017s) [Elapsed time: 69.75 minutes]
modified2020-07-07 17:30:18
created2014-01-22 13:58:39
id162486

Query times: 0.0004 seconds to select prime, 0.0008 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.