4 · 319785 + 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:4 · 319785 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):C : Caldwell, Cruncher
Decimal Digits:9441   (log10 is 9440.44608461984)
Rank (*):75712 (digit rank is 2)
Entrance Rank (*):167
Currently on list? (*):no
Submitted:12/1/1996
Last modified:12/1/1996
Removed (*):8/16/1999 21:07:05 CDT
Database id:18043
Status Flags:none
Score (*):32.2616 (normalized score 0)

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_id18043
person_id9
machineLinux PII 200
whatprime
notesPFGW Version 1.1 for Pentium and compatibles Running N-1 test using base 2 Primality testing 4*3^19785+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 4*3^19785+1 is prime! (435.750000 seconds)
modified2003-03-25 11:24:59
created2002-12-13 04:21:05
id39702

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