12098 · 60338568 - 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.
This prime's information:
| Description: | 12098 · 60338568 - 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | [none] |
| Proof-code(s): (*): | A17 : Dewar, Srsieve, CRUS, PRST |
| Decimal Digits: | 602030 (log10 is 602029.19525347) |
| Rank (*): | 5107 (digit rank is 1) |
| Entrance Rank (*): | 4452 |
| Currently on list? (*): | no |
| Submitted: | 1/24/2024 13:43:15 UTC |
| Last modified: | 1/25/2024 17:37:18 UTC |
| Removed (*): | 10/2/2024 23:42:46 UTC |
| Database id: | 136935 |
| Status Flags: | none |
| Score (*): | 45.0754 (normalized score 0.9488) |
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.
field value prime_id 136935 person_id 9 machine Using: Digital Ocean Droplet what prime notes Command: /var/www/clientpool/1/pfgw64 -V -f -tp -q"12098*60^338568-1" >command_output 2>&1
PFGW Version 4.0.4.64BIT.20221214.x86_Dev [GWNUM 30.11]
Primality testing 12098*60^338568-1 [N+1, Brillhart-Lehmer-Selfridge]
trial
Running N+1 test using discriminant 7, base 1+sqrt(7)
Special modular reduction using AVX-512 FFT length 240K, Pass1=640, Pass2=384, clm=1 on 12098*60^338568-1
Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate
Iteration: 58103/1999899 ERROR: ROUND OFF 0.45169>0.45
(Test aborted, try again using the -a1 switch)
Running N+1 test using discriminant 7, base 1+sqrt(7)
Special modular reduction using AVX-512 FFT length 280K, Pass1=128, Pass2=2240, clm=2 on 12098*60^338568-1
Calling Brillhart-Lehmer-Selfridge with factored part 39.31%
12098*60^338568-1 is prime! (12055.8961s+0.0065s)
[Elapsed time: 3.35 hours]modified 2024-01-25 17:36:09 created 2024-01-25 14:15:09 id 182773
Query times: 0.002 seconds to select prime, 0.0005 seconds to seek comments.
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