29 · 24727 + 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: | 29 · 24727 + 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | Divides Fermat F(4724); GF(4726,6), GF(4726,12) [D]; GF(4726,3) [BR] |
| Proof-code(s): (*): | CW : Cormack |
| Decimal Digits: | 1425 (log10 is 1424.4311875015) |
| Rank (*): | 112513 (digit rank is 9) |
| Entrance Rank (*): | 9 |
| Currently on list? (*): | no |
| Submitted: | 1979 |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 40055 |
| Status Flags: | none |
| Score (*): | 26.3779 (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.
- Generalized Fermat Divisors (bases 3,5,6,10,12) (archivable *)
- Prime on list: no, rank 92, weight 29.745292504039
Subcategory: "Divides GF(*,12)"
(archival tag id 185845, tag last modified 2025-02-16 07:37:30)- Generalized Fermat Divisors (bases 3,5,6,10,12) (archivable *)
- Prime on list: no, rank 86, weight 29.745292504039
Subcategory: "Divides GF(*,6)"
(archival tag id 185844, tag last modified 2023-03-31 01:37:05)- Fermat Divisors (archivable *)
- Prime on list: no, rank 85, weight 29.745292504039
Subcategory: "Divides Fermat"
(archival tag id 185843, tag last modified 2025-01-14 07:37:11)- Generalized Fermat Divisors (bases 3,5,6,10,12) (archivable *)
- Prime on list: no, rank 93, weight 29.745292504039
Subcategory: "Divides GF(*,3)"
(archival tag id 185846, tag last modified 2024-03-22 08:37:11)
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 40055 person_id 9 machine Linux PII 200 what prime notes PFGW Version 1.1 for Pentium and compatibles Running N-1 test using base 3 Primality testing 29*2^4727+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.92% 29*2^4727+1 is prime! (1.980000 seconds) modified 2003-03-25 17:27:16 created 2002-12-06 04:17:00 id 18622
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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