159 · 23425766 + 1
(Another of the Prime Pages' resources)
The Largest Known Primes Icon
  View this page in:   language help
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:159 · 23425766 + 1
Verification status (*):Proven
Official Comment:
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L4045 : Chew, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:1031261   (log10 is 1031260.52552294)
Rank (*):168 (digit rank is 1)
Entrance Rank (*):107
Currently on list? (*):short
Submitted:2/1/2015 19:18:11 CDT
Last modified:2/2/2015 06:57:04 CDT
Database id:119192
Status Flags:TrialDiv
Score (*):46.7274 (normalized score 20.0615)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

Evelyn Chew writes (2 Feb 2015): 
Divides xGF(3425765,11,6)!!!!

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.
machineUsing: Xeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"159*2^3425766+1" 2>&1
PFGW Version [GWNUM 27.11]
Primality testing 159*2^3425766+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%

159*2^3425766+1 is prime! (4966.4565s+0.0011s)
[Elapsed time: 82.78 minutes]
modified2015-04-20 07:32:09
created2015-02-01 19:21:01

Query times: 0.0001 seconds to select prime, 0.0002 seconds to seek comments.