28460 · 105439950 - 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: | 28460 · 105439950 - 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | [none] |
| Proof-code(s): (*): | A11 : Anonymous, Srsieve, CRUS, PRST |
| Decimal Digits: | 889227 (log10 is 889226.68636071) |
| Rank (*): | 4273 (digit rank is 1) |
| Entrance Rank (*): | 4249 |
| Currently on list? (*): | yes |
| Submitted: | 11/18/2025 21:29:04 UTC |
| Last modified: | 11/25/2025 12:37:11 UTC |
| Database id: | 141248 |
| Status Flags: | none |
| Score (*): | 46.2727 (normalized score 1.7143) |
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 141248 person_id 9 machine Using: Digital Ocean Droplet what prime notes Command: /var/www/clientpool/1/pfgw64 -V -f -tp -q"28460*105^439950-1" >command_output 2>&1
PFGW Version 4.0.4.64BIT.20221214.x86_Dev [GWNUM 30.11]
Primality testing 28460*105^439950-1 [N+1, Brillhart-Lehmer-Selfridge]
trial
Running N+1 test using discriminant 13, base 1+sqrt(13)
Special modular reduction using zero-padded FMA3 FFT length 400K, Pass1=320, Pass2=1280, clm=4 on 28460*105^439950-1
Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate
Iteration: 621850/2953948 ERROR: ROUND OFF 0.47611>0.45
(Test aborted, try again using the -a1 switch)
Running N+1 test using discriminant 13, base 1+sqrt(13)
Special modular reduction using zero-padded FMA3 FFT length 448K, Pass1=448, Pass2=1K, clm=4 on 28460*105^439950-1
Calling Brillhart-Lehmer-Selfridge with factored part 41.81%
28460*105^439950-1 is prime! (41695.3421s+0.0083s)
[Elapsed time: 11.58 hours]modified 2025-11-25 12:31:54 created 2025-11-25 00:56:57 id 187338
Query times: 0.0018 seconds to select prime, 0.0008 seconds to seek comments.
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