10150006 + 7426247 · 1075000 + 1
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The hardware and software on this system was updated September 4th.  Please let me know of any problem you encounter. <caldwell@utm.edu>

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:10150006 + 7426247 · 1075000 + 1
Verification status (*):Proven
Official Comment:Palindrome
Proof-code(s): (*):p5 : Jobling, OpenPFGW
Decimal Digits:150007   (log10 is 150006)
Rank (*):26804 (digit rank is 2)
Entrance Rank (*):479
Currently on list? (*):no
Submitted:12/26/2005 09:30:36 CDT
Last modified:12/26/2005 14:41:36 CDT
Database id:76550
Status Flags:none
Score (*):40.8031 (normalized score 0.071)

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 31
Subcategory: "Palindrome"
(archival tag id 187404, tag last modified 2014-03-09 18:22:17)

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_id76550
person_id9
machineLinux P4 2.8GHz
whattrial_divided
notesCommand: /home/caldwell/client/pfgw -o -f -q"10^150006+7426247*10^75000+1" 2>&1
PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4]
trial factoring to 52548793
10^150006+7426247*10^75000+1 has no small factor.
[Elapsed time: 771.980 seconds]
modified2005-12-28 20:24:31
created2005-12-26 09:52:00
id81956

fieldvalue
prime_id76550
person_id9
machineLinux P4 2.8GHz
whatprime
notesCommand: /home/caldwell/client/pfgw -f -t -q"10^150006+7426247*10^75000+1" 2>&1
PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4]
Primality testing 10^150006+7426247*10^75000+1 [N-1, Brillhart-Lehmer-Selfridge]
trial factoring to 52548793
Running N-1 test using base 7
Using SSE2 FFT
Adjusting authentication level by 1 for PRIMALITY PROOF
Reduced from FFT(65536,20) to FFT(65536,19)
Reduced from FFT(65536,19) to FFT(65536,18)
Reduced from FFT(65536,18) to FFT(65536,17)
Reduced from FFT(65536,17) to FFT(65536,16)
996628 bit request FFT size=(65536,16)
Running N-1 test using base 11
Using SSE2 FFT
Adjusting authentication level by 1 for PRIMALITY PROOF
Reduced from FFT(65536,20) to FFT(65536,19)
Reduced from FFT(65536,19) to FFT(65536,18)
Reduced from FFT(65536,18) to FFT(65536,17)
Reduced from FFT(65536,17) to FFT(65536,16)
996628 bit request FFT size=(65536,16)
Calling Brillhart-Lehmer-Selfridge with factored part 34.95%
1/0


10^150006+7426247*10^75000+1 is prime! (-402.4746s+0.0300s)
[Elapsed time: 17315 seconds]
modified2005-12-28 20:24:31
created2005-12-26 09:53:01
id81957

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.