4941928071 · 2411# + 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: | 4941928071 · 2411# + 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | Arithmetic progression (1,d=176836494*2411#) |
| Proof-code(s): (*): | p102 : Frind, Underwood, OpenPFGW |
| Decimal Digits: | 1037 (log10 is 1036.0933780401) |
| Rank (*): | 128741 (digit rank is 133) |
| Entrance Rank (*): | 57859 |
| Currently on list? (*): | yes |
| Submitted: | 6/12/2003 21:59:26 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 65077 |
| Status Flags: | none |
| Score (*): | 25.3829 (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 4
Subcategory: "1/8"
(archival tag id 235442, tag last modified 2025-01-18 22:37:22)
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 65077 person_id 9 machine WinXP P4 1.8GHz what prime notes PFGW Version 20030108.Win_Dev (Alpha 'caveat utilitor') [FFT v22.12 w/P4] Running N-1 test using base 3 Primality testing 4941928071*2411#+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.48% 4941928071*2411#+1 is prime! (50.015000 seconds) modified 2020-07-07 22:30:47 created 2003-06-13 16:15:54 id 69936
Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.
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