552522756371196030 · (23363 - 21121) - 3 · 21122 + 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: | 552522756371196030 · (23363 - 21121) - 3 · 21122 + 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | Triplet (2) |
| Proof-code(s): (*): | F : Forbes |
| Decimal Digits: | 1031 (log10 is 1030.1062255877) |
| Rank (*): | 128165 (digit rank is 49) |
| Entrance Rank (*): | 36567 |
| Currently on list? (*): | no |
| Submitted: | 1998 |
| Last modified: | 11/20/2024 12:47:47 UTC |
| Database id: | 55954 |
| Status Flags: | none |
| Score (*): | 25.3648 (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.
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 55954 person_id 9 machine Using: Digital Ocean Droplet what prime notes PFGW Version 4.0.4.64BIT.20221214.x86_Dev [GWNUM 30.11]
Primality testing 552522756371196030*(2^3363-2^1121)-3*2^1122+1 [N-1, Brillhart-Lehmer-Selfridge]
Reading factors from helper file helper.php?id=1100000002650727314
Prime_Testing_Warning,
Running N-1 test using base 7
Generic modular reduction using generic reduction AVX-512 FFT length 1K on A 3424-bit number
Calling Brillhart-Lehmer-Selfridge with factored part 64.78%
552522756371196030*(2^3363-2^1121)-3*2^1122+1 is prime! (0.0660s+0.0001s)
[Elapsed time: 5.00 seconds]
Helper File:
2
3
11
29949495337
5344500526643
21219242898026077976004581891476979...(668 digits)...39379160563077822298941833738162557
5
13
70038923701modified 2024-11-20 12:47:47 created 2024-11-20 12:47:42 id 184598
field value prime_id 55954 person_id 9 machine Linux PII 200 what prp notes PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 7 Primality testing 552522756371196030*(2^3363-2^1121)-3*2^1122+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 17 Calling Brillhart-Lehmer-Selfridge with factored part 32.97% 552522756371196030*(2^3363-2^1121)-3*2^1122+1 is PRP! (3.870000 seconds) modified 2003-03-25 17:23:45 created 2002-12-27 21:51:47 id 53757
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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