2037 · 21129995 + 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:2037 · 21129995 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L759 : Barker, Srsieve, PrimeGrid, LLR
Decimal Digits:340166   (log10 is 340165.69894135)
Rank (*):13893 (digit rank is 1)
Entrance Rank (*):2648
Currently on list? (*):no
Submitted:8/8/2013 19:25:40 CDT
Last modified:8/8/2013 22:20:28 CDT
Removed (*):4/22/2014 15:11:01 CDT
Database id:114981
Status Flags:none
Score (*):43.3216 (normalized score 0.4035)

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_id114981
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 2037 2 1129995 1 2>&1 [Elapsed time: 10.543 seconds]
modified2020-07-07 17:30:18
created2013-08-08 19:35:01
id160326

fieldvalue
prime_id114981
person_id9
machineWinXP Dual Core 2.6GHz 64-bit Laptop
whatprime
notesCommand: pfgw64.exe -t -q"2037*2^1129995+1" 2>&1 PFGW Version 3.7.3.64BIT.20130210.Win_Dev [GWNUM 27.8] Primality testing 2037*2^1129995+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 2037*2^1129995+1 is prime! (556.9276s+0.0034s) [Elapsed time: 557 seconds]
modified2020-07-07 17:30:18
created2013-08-08 22:02:17
id160343

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.