927 · 21533160 - 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important PrimePages database: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

Description:927 · 21533160 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L2257 : Dettweiler, PSieve, Srsieve, NPLB, LLR
Decimal Digits:461531   (log10 is 461530.115231924)
Rank (*):4899 (digit rank is 1)
Entrance Rank (*):3135
Currently on list? (*):yes
Submitted:3/4/2019 01:03:57 CDT
Last modified:3/4/2019 02:20:10 CDT
Database id:126281
Status Flags:TrialDiv
Score (*):44.2591 (normalized score 1.0169)

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_id126281
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tp -q"927*2^1533160-1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 927*2^1533160-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 13, base 1+sqrt(13) Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate Iteration: 17/1533171 ERROR: ROUND OFF 0.5>0.45 (Test aborted, try again using the -a1 switch) Running N+1 test using discriminant 13, base 1+sqrt(13) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 927*2^1533160-1 is prime! (3030.1566s+0.0004s) [Elapsed time: 50.50 minutes]
modified2020-07-07 17:30:13
created2019-03-04 01:13:01
id171960

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.
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