35 · 2151741 + 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:35 · 2151741 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):g164 : Hartley, Proth.exe
Decimal Digits:45681   (log10 is 45680.136640093)
Rank (*):59084 (digit rank is 1)
Entrance Rank (*):179
Currently on list? (*):no
Submitted:7/14/2000 21:41:08 CDT
Last modified:7/14/2000 21:41:08 CDT
Removed (*):4/3/2004 18:35:00 CDT
Database id:1264
Status Flags:none
Score (*):37.1382 (normalized score 0.0005)

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_id1264
person_id9
machineWinXP Athlon 1.3GHz
whatprime
notesPFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N-1 test using base 3 Primality testing 35*2^151741+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 35*2^151741+1 is prime! (294.703000 seconds)
modified2003-03-25 11:21:55
created2003-01-18 12:50:20
id66134

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.