3555 · 21542812 - 1

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Description:3555 · 21542812 - 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L860 : Burt, Srsieve, FreeDCPrimeSearch, LLR
Decimal Digits:464437   (log10 is 464436.240509943)
Rank (*):4755 (digit rank is 2)
Entrance Rank (*):2041
Currently on list? (*):yes
Submitted:2/3/2017 17:00:18 CDT
Last modified:2/3/2017 18:20:21 CDT
Database id:122841
Status Flags:TrialDiv
Score (*):44.2784 (normalized score 1.039)

User comments about this prime (disclaimer):

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Serge Batalov writes (17 Apr 2020):  (report abuse)
Arithmetic progression (1,d=3555*2^1542812-4953427788675*2^1290000)

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_id122841
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tp -q"3555*2^1542812-1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 3555*2^1542812-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 7, base 1+sqrt(7) Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate Iteration: 17/1542825 ERROR: ROUND OFF 0.5>0.45 (Test aborted, try again using the -a1 switch) Running N+1 test using discriminant 7, base 1+sqrt(7) Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate Iteration: 18/1542825 ERROR: ROUND OFF 0.5>0.45 (Test aborted, try again using the -a2 (or possibly -a0) switch) Running N+1 test using discriminant 7, base 1+sqrt(7) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 3555*2^1542812-1 is prime! (3371.5382s+0.0006s) [Elapsed time: 56.20 minutes]
modified2020-07-07 17:30:16
created2017-02-03 17:09:45
id168485

Query times: 0.0024 seconds to select prime, 0.0007 seconds to seek comments.
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