# 10590941048576 + 1

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Description: 10590941048576 + 1 Proven Generalized Fermat This prime has 2 user comments below. L4720 : Gahan, GFNSvCUDA, GeneFer, AthGFNSieve, PrimeGrid, LLR 6317602   (log10 is 6317601.72631546) 14 (digit rank is 1) 13 short 11/4/2018 04:01:24 CDT 11/22/2018 21:38:30 CDT 125753 TrialDiv 52.2815 (normalized score 3135.9337)

#### 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)

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PrimeGrid writes (4 Nov 2018):  (report abuse)
 >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):  (report abuse)

#### 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
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -t -q"1059094^1048576+1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 1059094^1048576+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 95.00% 1059094^1048576+1 is prime! (1616899.0806s+0.0845s) [Elapsed time: 18.71 days]
modified2020-07-07 17:30:14
created2018-11-04 04:30:11
id171431

Query times: 0.0017 seconds to select prime, 0.0003 seconds to seek comments.