402539 · 27173024 - 1
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The nth Prime Page will now find any of the first 2,623,557,157,654,233 primes or π(x) for x up to 100,000,000,000,000,000.

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:402539 · 27173024 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L3961 : Darimont, Srsieve, PrimeGrid, LLR
Decimal Digits:2159301   (log10 is 2159300.9884256)
Rank (*):26 (digit rank is 1)
Entrance Rank (*):20
Currently on list? (*):short
Submitted:10/2/2014 11:14:53 CDT
Last modified:10/2/2014 20:20:28 CDT
Database id:118583
Status Flags:TrialDiv
Score (*):48.9936 (normalized score 193.4323)

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_id118583
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 402539*2^7173024-1 2>&1
Resuming LLR test of 402539*2^7173024-1 at iteration 3532438 [49.24%]
402539*2^7173024-1 is prime! (2159301 decimal digits) Time : 28181.173 sec.
[Elapsed time: 3.97 hours]
modified2014-12-15 15:47:31
created2014-10-02 16:21:01
id164167

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.