52 · 701163776 + 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:52 · 701163776 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):p268 : Rodenkirch, Srsieve, CRUS, OpenPFGW
Decimal Digits:466063   (log10 is 466062.03011385)
Rank (*):4615 (digit rank is 1)
Entrance Rank (*):816
Currently on list? (*):yes
Submitted:10/3/2013 07:04:13 CDT
Last modified:10/3/2013 13:51:02 CDT
Database id:115791
Status Flags:TrialDiv
Score (*):44.2892 (normalized score 1.0618)

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_id115791
person_id9
machineWinXP Dual Core 2.6GHz 64-bit Laptop
whatprime
notesCommand: pfgw64.exe -t -q"52*701^163776+1" 2>&1 PFGW Version 3.7.3.64BIT.20130210.Win_Dev [GWNUM 27.8] Primality testing 52*701^163776+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 52*701^163776+1 is prime! (1986.3859s+0.0455s) [Elapsed time: 1987 seconds]
modified2020-07-07 17:30:18
created2013-10-03 12:58:23
id161286

Query times: 0.002 seconds to select prime, 0.0006 seconds to seek comments.
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