36098067232 · 2399# + 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: | 36098067232 · 2399# + 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | Arithmetic progression (2,d=1165848473*2399#) |
| Proof-code(s): (*): | p41 : Luhn, OpenPFGW |
| Decimal Digits: | 1034 (log10 is 1033.5747683592) |
| Rank (*): | 129031 (digit rank is 83) |
| Entrance Rank (*): | 128940 |
| Currently on list? (*): | no |
| Submitted: | 3/4/2025 07:26:30 UTC |
| Last modified: | 3/4/2025 07:37:12 UTC |
| Database id: | 140278 |
| Status Flags: | none |
| Score (*): | 25.3753 (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: no, rank 8
Subcategory: "2/8"
(archival tag id 239112, tag last modified 2025-03-13 11:37:11)
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 140278 person_id 9 machine Using: Digital Ocean Droplet what prime notes Command: /var/www/clientpool/1/pfgw64 -V -f -t -q"36098067232*2399#+1" >command_output 2>&1
PFGW Version 4.0.4.64BIT.20221214.x86_Dev [GWNUM 30.11]
Primality testing 36098067232*2399#+1 [N-1, Brillhart-Lehmer-Selfridge]
trial
Running N-1 test using base 2437
Generic modular reduction using generic reduction AVX-512 FFT length 1K on A 3434-bit number
Calling Brillhart-Lehmer-Selfridge with factored part 33.44%
36098067232*2399#+1 is prime! (0.2071s+0.0004s)
[Elapsed time: 5.00 seconds]modified 2025-03-04 07:27:21 created 2025-03-04 07:27:16 id 186378
Query times: 0.0026 seconds to select prime, 0.0004 seconds to seek comments.
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