24 · 1076570 + 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:24 · 1076570 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):p67 : Benson, NewPGen, OpenPFGW
Decimal Digits:76572   (log10 is 76571.380211242)
Rank (*):54256 (digit rank is 1)
Entrance Rank (*):3089
Currently on list? (*):no
Submitted:12/23/2005 23:22:55 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):11/30/2006 16:50:34 UTC
Database id:76533
Status Flags:none
Score (*):38.7315 (normalized score 0.0018)

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_id76533
person_id9
machineLinux P4 2.8GHz
whatprime
notesCommand: /home/caldwell/client/pfgw -f -t -q"24*10^76570+1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 24*10^76570+1 [N-1, Brillhart-Lehmer-Selfridge] trial factoring to 25626430 Running N-1 test using base 7 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) Reduced from FFT(32768,17) to FFT(32768,16) 508738 bit request FFT size=(32768,16) Calling Brillhart-Lehmer-Selfridge with factored part 69.90% 24*10^76570+1 is prime! (1965.1726s+0.0176s) [Elapsed time: 1965 seconds]
modified2020-07-07 22:30:43
created2005-12-23 23:23:00
id81920

fieldvalue
prime_id76533
person_id9
machineLinux P4 2.8GHz
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 24 10 76570 1 2>&1 [Elapsed time: 13.835 seconds]
modified2020-07-07 22:30:43
created2005-12-23 23:52:01
id81921

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