975 · 21493869 - 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:975 · 21493869 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L2257 : Dettweiler, PSieve, Srsieve, NPLB, LLR
Decimal Digits:449703   (log10 is 449702.367597172)
Rank (*):5131 (digit rank is 1)
Entrance Rank (*):2612
Currently on list? (*):no
Submitted:1/22/2018 16:11:35 CDT
Last modified:1/22/2018 17:20:25 CDT
Removed (*):5/24/2020 21:23:50 CDT
Database id:124166
Status Flags:TrialDiv
Score (*):44.1794 (normalized score 0.9807)

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_id124166
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tp -q"975*2^1493869-1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 975*2^1493869-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 19, base 1+sqrt(19) Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate Iteration: 17/1493880 ERROR: ROUND OFF 0.5>0.45 (Test aborted, try again using the -a1 switch) Running N+1 test using discriminant 19, base 1+sqrt(19) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 975*2^1493869-1 is prime! (2870.0795s+0.0008s) [Elapsed time: 47.83 minutes]
modified2020-07-07 17:30:15
created2018-01-22 16:13:01
id169829

Query times: 0.001 seconds to select prime, 0.0006 seconds to seek comments.
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