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 · 2499948+1 Verification status (*): Proven Official Comment: Proof-code(s): (*): g354 : Jobling, Gusev, Woltman, Proth.exe Decimal Digits: 150502   (log10 is 150501.474605985) Rank (*): 3908 (digit rank is 1) Entrance Rank (*): 261 Currently on list? (*): yes Submitted: 2/15/2005 02:32:21 CDT Last modified: 2/15/2005 02:32:21 CDT Database id: 73450 Status Flags: none Score (*): 40.8132 (normalized score 1.2172)

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 73450 person_id 9 machine Linux P4 2.8GHz what prime notes Command: /home/caldwell/client/pfgw -f -t -q"135*2^499948+1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 135*2^499948+1 [N-1, Brillhart-Lehmer-Selfridge] trial factoring to 52733911 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) 999920 bit request FFT size=(65536,16) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 135*2^499948+1 is prime! (-2011.5873s+0.0000s) modified 2005-03-29 11:22:33 created 2005-02-15 12:06:51 id 78468