15 · 221962 - 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:15 · 221962 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):gk : Keller, Proth.exe
Decimal Digits:6613   (log10 is 6612.39685603142)
Rank (*):80265 (digit rank is 2)
Entrance Rank (*):2414
Currently on list? (*):no
Submitted:8/9/1998 10:49:08 CDT
Last modified:8/9/1998 10:49:08 CDT
Removed (*):1/25/1999 09:33:39 CDT
Database id:21886
Status Flags:none
Score (*):31.1571 (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_id21886
person_id9
machineWindows XP P4 1.8GHz
whatprime
notesPrimality testing 15*2^21962-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 15*2^21962-1 is prime! (13.484000 seconds) PFGW Version 1.1 for Windows Running N+1 test using discriminant 11, base 1+sqrt(11)
modified2003-03-25 11:25:36
created2002-12-09 08:20:15
id33831

Query times: 0.0001 seconds to select prime, 0.0001 seconds to seek comments.