2 · 317720 + 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:2 · 317720 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):C : Caldwell, Cruncher
Decimal Digits:8455   (log10 is 8454.88966362808)
Rank (*):76676 (digit rank is 2)
Entrance Rank (*):288
Currently on list? (*):no
Submitted:12/1/1996
Last modified:12/1/1996
Removed (*):6/30/1999 17:44:54 CDT
Database id:19132
Status Flags:none
Score (*):31.9197 (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_id19132
person_id9
machineLinux PII 200
whatprime
notesPFGW Version 1.1 for Pentium and compatibles Running N-1 test using base 2 Primality testing 2*3^17720+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 5 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 2*3^17720+1 is prime! (589.360000 seconds)
modified2003-03-25 11:25:09
created2002-12-11 13:13:32
id37860

Query times: 0.0003 seconds to select prime, 0.0002 seconds to seek comments.