124125 · 62018254 + 1
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

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:124125 · 62018254 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L4001 : Willig, Srsieve, CRUS, LLR
Decimal Digits:1570512   (log10 is 1570511.96755105)
Rank (*):105 (digit rank is 1)
Entrance Rank (*):104
Currently on list? (*):short
Submitted:2/26/2019 11:44:42 CDT
Last modified:2/26/2019 22:20:09 CDT
Database id:126255
Status Flags:TrialDiv
Score (*):48.0175 (normalized score 56.7956)

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_id126255
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"124125*6^2018254+1" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing 124125*6^2018254+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N-1 test using base 13
Calling Brillhart-Lehmer-Selfridge with factored part 61.31%


124125*6^2018254+1 is prime! (37204.5512s+0.0346s)
[Elapsed time: 10.33 hours]
modified2019-02-26 22:11:06
created2019-02-26 11:51:01
id171933

Query times: 0.0007 seconds to select prime, 0.0008 seconds to seek comments.