
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:  249 · 2^{3486411} + 1 
Verification status (*):  Proven 
Official Comment:  
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  L4045 : Chew, PSieve, Srsieve, PrimeGrid, LLR 
Decimal Digits:  1049517 (log_{10} is 1049516.6844122) 
Rank (*):  172 (digit rank is 1) 
Entrance Rank (*):  109 
Currently on list? (*):  short 
Submitted:  5/10/2015 16:13:48 CDT 
Last modified:  5/10/2015 17:50:22 CDT 
Database id:  119905 
Status Flags:  TrialDiv 
Score (*):  46.7813 (normalized score 21.1711) 

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.
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.
field  value 
prime_id  119905 
person_id  9 
machine  Using: Xeon 4c+4c 3.5GHz 
what  prime 
notes  Command: /home/caldwell/client/pfgw/pfgw64 t q"249*2^3486411+1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 249*2^3486411+1 [N1, BrillhartLehmerSelfridge] Running N1 test using base 5 Calling BrillhartLehmerSelfridge with factored part 100.00%
249*2^3486411+1 is prime! (5093.6054s+0.0012s) [Elapsed time: 84.88 minutes]

modified  20160408 12:40:28 
created  20150510 16:21:02 
id  165528 

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