10160016 + 8231328 · 1080005 + 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:10160016 + 8231328 · 1080005 + 1
Verification status (*):Proven
Official Comment (*):Palindrome
Proof-code(s): (*):D : Dubner, Cruncher
Decimal Digits:160017   (log10 is 160016)
Rank (*):39771 (digit rank is 2)
Entrance Rank (*):519
Currently on list? (*):no
Submitted:5/20/2006 02:07:11 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:77815
Status Flags:none
Score (*):41.0019 (normalized score 0.0182)

Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper.  Such primes are tracked with archival tags.
Palindrome (archivable *)
Prime on list: no, rank 52
Subcategory: "Palindrome"
(archival tag id 187388, tag last modified 2024-01-17 08:37:12)

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.
machineWinXP P4 2.2GHz By K
notesCommand: pfgw.exe -n -f -t -q"10^160016+8231328*10^80005+1" 2>&1 PFGW Version 1.2.0 for Windows [FFT v23.8] Primality testing 10^160016+8231328*10^80005+1 [N-1, Brillhart-Lehmer-Selfridge] trial factoring to 56295719 Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 34.95% 1/0 10^160016+8231328*10^80005+1 is prime! (7966.9455s+0.1407s) [Elapsed time: 7968 seconds]
modified2020-07-07 22:30:42
created2006-05-20 02:24:25

machineGenToo P3 400MHz
notesCommand: /home/caldwell/client/pfgw -o -f -q"10^160016+8231328*10^80005+1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] trial factoring to 56295719 10^160016+8231328*10^80005+1 has no small factor. [Elapsed time: 655.140 seconds]
modified2020-07-07 22:30:42
created2006-07-07 09:05:53

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