3950290693 · 2417# - 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: | 3950290693 · 2417# - 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | Arithmetic progression (6,d=370899838*2417#) |
| Proof-code(s): (*): | p364 : Batalov, NewPGen, OpenPFGW |
| Decimal Digits: | 1040 (log10 is 1039.3793873261) |
| Rank (*): | 128679 (digit rank is 45) |
| Entrance Rank (*): | 128637 |
| Currently on list? (*): | yes |
| Submitted: | 3/23/2025 06:12:20 UTC |
| Last modified: | 3/24/2025 23:37:25 UTC |
| Database id: | 140458 |
| Status Flags: | none |
| Score (*): | 25.3928 (normalized score 0) |
Archival tags:
There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper. Such primes are tracked with archival tags.
- Arithmetic Progressions of Primes (archivable class *)
- Prime on list: yes, rank 5, weight 40.947120111907
Subcategory: "6/8"
(archival tag id 239199, tag last modified 2025-03-25 03:37:24)
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 140458 person_id 9 machine Using: Digital Ocean Droplet what prime notes Command: /var/www/clientpool/1/pfgw64 -V -f -tp -q"3950290693*2417#-1" >command_output 2>&1
PFGW Version 4.0.4.64BIT.20221214.x86_Dev [GWNUM 30.11]
Primality testing 3950290693*2417#-1 [N+1, Brillhart-Lehmer-Selfridge]
trial
Running N+1 test using discriminant 3, base 3+sqrt(3)
Generic modular reduction using generic reduction FMA3 FFT length 320 on A 3453-bit number
Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate
Iteration: 469/11416 ERROR: ROUND OFF 0.5>0.45
(Test aborted, try again using the -a1 switch)
Running N+1 test using discriminant 3, base 3+sqrt(3)
Generic modular reduction using generic reduction FMA3 FFT length 384 on A 3453-bit number
Calling Brillhart-Lehmer-Selfridge with factored part 33.57%
3950290693*2417#-1 is prime! (0.1968s+0.0003s)
[Elapsed time: 5.00 seconds]modified 2025-03-24 22:45:44 created 2025-03-24 22:45:39 id 186558
Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.
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