
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:  10223 · 2^{31172165} + 1 
Verification status (*):  Proven 
Official Comment:  
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  SB12 : Szabolcs, Srsieve, SoBSieve, ProthSieve, Ksieve, PrimeGrid, LLR, SB 
Decimal Digits:  9383761 (log_{10} is 9383760.70436526) 
Rank (*):  9 (digit rank is 1) 
Entrance Rank (*):  7 
Currently on list? (*):  short 
Submitted:  11/6/2016 12:15:13 CDT 
Last modified:  11/14/2016 12:23:30 CDT 
Database id:  122473 
Status Flags:  TrialDiv 
Score (*):  53.4922 (normalized score 13188.3878) 

User comments about this prime (disclaimer):
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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  122473 
person_id  9 
machine  Using: Xeon 4c+4c 3.5GHz 
what  prime 
notes  Command: /home/caldwell/client/pfgw/pfgw64 t q"10223*2^31172165+1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 10223*2^31172165+1 [N1, BrillhartLehmerSelfridge] Running N1 test using base 3 Calling BrillhartLehmerSelfridge with factored part 100.00%
10223*2^31172165+1 is prime! (691348.6374s+0.0067s) [Elapsed time: 8.00 days]

modified  20170127 05:57:10 
created  20161106 12:21:01 
id  168113 

Query times: 0.0003 seconds to select prime, 0.0001 seconds to seek comments.
