69109 · 21157446 + 1
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

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:69109 · 21157446 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):SB4 : DiMichele, PRP, Proth.exe, SB
Decimal Digits:348431   (log10 is 348430.803895901)
Rank (*):12503 (digit rank is 1)
Entrance Rank (*):17
Currently on list? (*):no
Submitted:12/6/2002 22:57:00 CDT
Last modified:12/6/2002 22:57:00 CDT
Removed (*):7/6/2014 03:55:10 CDT
Database id:62868
Status Flags:none
Score (*):43.3954 (normalized score 0.5022)

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 1.8GHz
notesPFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N-1 test using base 3 N-1: 69109*2^1157446+1Primality testing 69109*2^1157446+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 69109*2^1157446+1 is prime! (25008.344000 seconds) 1077500/1157464
modified2003-03-25 11:21:46
created2003-01-27 01:05:59

Query times: 0.0005 seconds to select prime, 0.0006 seconds to seek comments.