39 · 23961129 + 1
(Another of the Prime Pages' resources)
The Largest Known Primes Icon
  View this page in:   language help
 
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:39 · 23961129 + 1
Verification status (*):Proven
Official Comment:
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L1486 : Dinkel, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:1192421   (log10 is 1192420.23675908)
Rank (*):201 (digit rank is 1)
Entrance Rank (*):193
Currently on list? (*):short
Submitted:9/29/2019 16:36:41 CDT
Last modified:9/29/2019 18:50:09 CDT
Database id:129971
Status Flags:TrialDiv
Score (*):47.1729 (normalized score 22.6511)

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.

PrimeGrid writes (29 Sep 2019): 
Divides xGF(3961127,5,2), xGF(3961124,12,11)

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_id129971
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -t -q"39*2^3961129+1" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing 39*2^3961129+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 17
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%


39*2^3961129+1 is prime! (5958.3920s+0.0012s)
[Elapsed time: 1.66 hours]
modified2019-09-29 18:22:20
created2019-09-29 16:43:01
id175656

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.