1078942 + 10111100100111101 · 1039463 + 1
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At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: 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:

field (help)value
Description:1078942 + 10111100100111101 · 1039463 + 1
Verification status (*):Proven
Official Comment:Tetradic, palindrome
Proof-code(s): (*):p186 : Chaglassian, Ksieve, Tetradic, OpenPFGW
Decimal Digits:78943   (log10 is 78942)
Rank (*):44349 (digit rank is 1)
Entrance Rank (*):1173
Currently on list? (*):no
Submitted:10/21/2004 15:26:36 CDT
Last modified:1/8/2006 18:31:55 CDT
Database id:72107
Status Flags:none
Score (*):38.8255 (normalized score 0.0072)

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.
Tetradic (deprecated *)
Prime on list: no, rank 6
Subcategory: "Tetradic"
(archival tag id 188567, tag last modified 2010-03-15 12:50:24)
Palindrome (archivable *)
Prime on list: no, rank 73
Subcategory: "Palindrome"
(archival tag id 188566, tag last modified 2016-01-10 02:20:35)

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_id72107
person_id9
machineLinux P4 2.8GHz
whatprime
notesCommand: /home/caldwell/client/pfgw -f -t -q"10^78942+10111100100111101*10^39463+1" 2>&1
PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4]
Primality testing 10^78942+10111100100111101*10^39463+1 [N-1, Brillhart-Lehmer-Selfridge]
trial factoring to 26475783
Running N-1 test using base 11
Using SSE2 FFT
Adjusting authentication level by 1 for PRIMALITY PROOF
Reduced from FFT(32768,20) to FFT(32768,19)
Reduced from FFT(32768,19) to FFT(32768,18)
Reduced from FFT(32768,18) to FFT(32768,17)
524488 bit request FFT size=(32768,17)
Running N-1 test using base 13
Using SSE2 FFT
Adjusting authentication level by 1 for PRIMALITY PROOF
Reduced from FFT(32768,20) to FFT(32768,19)
Reduced from FFT(32768,19) to FFT(32768,18)
Reduced from FFT(32768,18) to FFT(32768,17)
524488 bit request FFT size=(32768,17)
Running N-1 test using base 17
Using SSE2 FFT
Adjusting authentication level by 1 for PRIMALITY PROOF
Reduced from FFT(32768,20) to FFT(32768,19)
Reduced from FFT(32768,19) to FFT(32768,18)
Reduced from FFT(32768,18) to FFT(32768,17)
524488 bit request FFT size=(32768,17)
Running N-1 test using base 19
Using SSE2 FFT
Adjusting authentication level by 1 for PRIMALITY PROOF
Reduced from FFT(32768,20) to FFT(32768,19)
Reduced from FFT(32768,19) to FFT(32768,18)
Reduced from FFT(32768,18) to FFT(32768,17)
524488 bit request FFT size=(32768,17)
Calling Brillhart-Lehmer-Selfridge with factored part 34.94%
10^78942+10111100100111101*10^39463+1 is prime! (-919.4073s+0.0100s)
modified2005-10-05 19:02:35
created2004-10-21 18:23:12
id77102

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.