1797 · 2521676 + 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:1797 · 2521676 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1466 : Gran, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:157044   (log10 is 157043.37856608)
Rank (*):33672 (digit rank is 1)
Entrance Rank (*):4790
Currently on list? (*):no
Submitted:7/4/2010 08:47:52 CDT
Last modified:7/4/2010 15:20:22 CDT
Removed (*):7/20/2010 11:01:32 CDT
Database id:93428
Status Flags:none
Score (*):40.9442 (normalized score 0.0385)

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_id93428
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 1797 2 521676 1 2>&1 [Elapsed time: 9.773 seconds]
modified2020-07-07 17:30:34
created2010-07-04 08:48:51
id116230

fieldvalue
prime_id93428
person_id9
machineWinXP Dual Core 2.6GHz Laptop
whatprime
notesCommand: pfgw.exe -n -t -q"1797*2^521676+1" 2>&1 PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Running N-1 test using base 5 N-1: 1797*2^5Primality testing 1797*2^521676+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 1797*2^521676+1 is prime! (908.3906s+0.0050s) 21676+1[Elapsed time: 908 seconds]
modified2020-07-07 17:30:34
created2010-07-04 15:05:07
id116252

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.