1155 · 23446253 + 1
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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:1155 · 23446253 + 1
Verification status (*):Proven
Official Comment:
Unofficial Comments:This prime has 2 user comments below.
Proof-code(s): (*):L3035 : Scalise, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:1037429   (log10 is 1037428.58822897)
Rank (*):400 (digit rank is 1)
Entrance Rank (*):209
Currently on list? (*):short
Submitted:11/28/2017 01:22:21 CDT
Last modified:11/28/2017 02:50:21 CDT
Database id:124029
Status Flags:TrialDiv
Score (*):46.7457 (normalized score 12.9888)

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 (28 Nov 2017): 
For more information, please see the official announcement.

PrimeGrid writes (28 Nov 2017): 
Divides xGF(3446249,12,11)

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.
machineUsing: Xeon (pool) 4c+4c 3.5GHz
notesCommand: /home/caldwell/clientpool/1/pfgw64 -t -q"1155*2^3446253+1" 2>&1
PFGW Version [GWNUM 27.11]
Primality testing 1155*2^3446253+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 17
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%

1155*2^3446253+1 is prime! (4999.4239s+0.0012s)
[Elapsed time: 83.32 minutes]
modified2018-09-25 13:41:14
created2017-11-28 01:23:02

Query times: 0.0005 seconds to select prime, 0.0009 seconds to seek comments.