10590941048576 + 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:10590941048576 + 1
Verification status (*):External
Official Comment:Generalized Fermat
Unofficial Comments:This prime has 2 user comments below.
Proof-code(s): (*):L4720 : Gahan, GFNSvCUDA, GeneFer, AthGFNSieve, PrimeGrid, LLR
Decimal Digits:6317602   (log10 is 6317601.72631546)
Rank (*):13 (digit rank is 1)
Entrance Rank (*):13
Currently on list? (*):short
Submitted:11/4/2018 04:01:24 CDT
Last modified:11/4/2018 07:50:10 CDT
Database id:125753
Status Flags:Verify, TrialDiv
Score (*):52.2815 (normalized score 4350.8128)

Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper.  Such primes are tracked with archival tags.
Generalized Fermat (archivable *)
Prime on list: yes, rank 1
Subcategory: "Generalized Fermat"
(archival tag id 219944, tag last modified 2018-11-04 07:50:11)

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 (4 Nov 2018): 
>cllr64 -d -t4 -oNextFFTifNearLimit=1 -oDiskWriteTime=1 -q"1059094^1048576+1"
Base factorized as : 2*529547
Base prime factor(s) taken : 529547
Starting N-1 prime test of 1059094^1048576+1
Using generic reduction FMA3 FFT length 2240K, Pass1=448, Pass2=5K, 4 threads, a = 3
1059094^1048576+1 may be prime, trying to compute gcd's
3^((N-1)/529547)-1 is coprime to N!
1059094^1048576+1 is prime! (6317602 decimal digits) Time : 366869.443 sec.
>cllr64 -v
LLR Program - Version 3.8.21, using Gwnum Library Version 28.14

PrimeGrid writes (5 Nov 2018): 
For more information, please see the official announcement.

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_id125753
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatrequested
notespfgw
modified2018-11-04 04:30:11
created2018-11-04 04:30:11
id171431

Query times: 0.0012 seconds to select prime, 0.0004 seconds to seek comments.