9495 · 2452399 + 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:9495 · 2452399 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L858 : Svensson, Srsieve, PrimeGrid, LLR
Decimal Digits:136190   (log10 is 136189.64650336)
Rank (*):36938 (digit rank is 1)
Entrance Rank (*):3722
Currently on list? (*):no
Submitted:5/21/2009 15:57:31 CDT
Last modified:5/21/2009 16:50:35 CDT
Removed (*):9/17/2009 22:12:07 CDT
Database id:88433
Status Flags:none
Score (*):40.5056 (normalized score 0.0257)

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 9495 2 452399 1 2>&1
[Elapsed time: 9.898 seconds]
modified2011-12-27 16:48:43
created2009-05-21 16:05:01

machineDitto P4 P4
notesCommand: /home/ditto/client/pfgw -t -q"9495*2^452399+1" 2>&1
PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4]
Primality testing 9495*2^452399+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Using SSE2 FFT
Adjusting authentication level by 1 for PRIMALITY PROOF
Reduced from FFT(57344,20) to FFT(57344,19)
Reduced from FFT(57344,19) to FFT(57344,18)
Reduced from FFT(57344,18) to FFT(57344,17)
Reduced from FFT(57344,17) to FFT(57344,16)
904834 bit request FFT size=(57344,16)
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
9495*2^452399+1 is prime! (1075.8700s+0.0000s)
[Elapsed time: 18.00 minutes]
modified2009-05-25 07:25:55
created2009-05-21 16:08:01

Query times: 0.0001 seconds to select prime, 0.0002 seconds to seek comments.