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: 135 · 2440255+1 Verification status (*): Proven Official Comment: Proof-code(s): (*): g354 : Jobling, Gusev, Woltman, Proth.exe Decimal Digits: 132533   (log10 is 132532.091074815) Rank (*): 6346 (digit rank is 1) Entrance Rank (*): 336 Currently on list? (*): no Submitted: 2/22/2005 06:49:44 CDT Last modified: 2/22/2005 06:49:44 CDT Removed (*): 8/6/2009 08:15:38 CDT Database id: 73513 Status Flags: none Score (*): 40.4218 (normalized score 0.8229)

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.

field value prime_id 73513 person_id 9 machine WinXP P4 1.8GHz what prime notes Command: pfgw.exe -n -f -t -q"135*2^440255+1" 2>&1 PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] trial factoring to 46045806 Running N-1 test using base 19 N-1: 135*2^440255+1 302500/44Primality testing 135*2^440255+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 135*2^440255+1 is prime! (2381.0515s+0.0017s) 0264 modified 2005-03-29 11:22:33 created 2005-02-23 16:43:05 id 78534