11097879590403932184096 + 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:11097879590403932184096 + 1
Verification status (*):Proven
Official Comment (*):Generalized Fermat
Proof-code(s): (*):p21 : Anderson, Robinson, OpenPFGW
Decimal Digits:73914   (log10 is 73913.303074826)
Rank (*):52702 (digit rank is 1)
Entrance Rank (*):4388
Currently on list? (*):no
Submitted:5/30/2006 02:18:54 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):9/23/2006 21:04:32 UTC
Database id:77868
Status Flags:none
Score (*):38.6226 (normalized score 0.0021)

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.
Generalized Fermat (archivable *)
Prime on list: no, rank 4309
Subcategory: "Generalized Fermat"
(archival tag id 205224, tag last modified 2023-06-02 16:37:23)

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 M
notesCommand: pfgw.exe -n -f -t -q"1109787959040393218^4096+1" 2>&1 PFGW Version 1.2.0 for Windows [FFT v23.8] Primality testing 1109787959040393218^4096+1 [N-1, Brillhart-Lehmer-Selfridge] trial factoring to 24676110 Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 40.60% 1109787959040393218^4096+1 is prime! (1190.8866s+0.0178s) [Elapsed time: 1191 seconds]
modified2020-07-07 22:30:42
created2006-05-30 15:07:45

machineGenToo P3 400MHz
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 1 1109787959040393218 4096 1 2>&1 [Elapsed time: 6.995 seconds]
modified2020-07-07 22:30:42
created2006-07-07 15:22:34

Query times: 0.0003 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.