
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:  301562 · 5^{2408646}  1 
Verification status (*):  Proven 
Official Comment:  
Unofficial Comments:  This prime has 2 user comments below. 
Proofcode(s): (*):  L4675 : Lind, Srsieve, PrimeGrid, LLR 
Decimal Digits:  1683577 (log_{10} is 1683576.78444055) 
Rank (*):  81 (digit rank is 1) 
Entrance Rank (*):  57 
Currently on list? (*):  short 
Submitted:  9/25/2017 09:34:40 CDT 
Last modified:  9/26/2017 15:53:59 CDT 
Database id:  123904 
Status Flags:  TrialDiv 
Score (*):  48.2307 (normalized score 77.8346) 

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  123904 
person_id  9 
machine  Using: Xeon 4c+4c 3.5GHz 
what  prime 
notes  Command: /home/caldwell/client/pfgw/pfgw64 tp q"301562*5^24086461" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 301562*5^24086461 [N+1, BrillhartLehmerSelfridge] Running N+1 test using discriminant 11, base 8+sqrt(11) Calling BrillhartLehmerSelfridge with factored part 100.00%
301562*5^24086461 is prime! (108776.9388s+0.0606s) [Elapsed time: 30.22 hours]

modified  20170926 15:53:59 
created  20170925 09:41:01 
id  169565 

Query times: 0.0004 seconds to select prime, 0.0009 seconds to seek comments.
