69 · 2100916 - 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: | 69 · 2100916 - 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | Arithmetic progression (1,d=101882667*2^180010-69*2^100916) [p108] |
| Proof-code(s): (*): | g292 : Sun, Proth.exe |
| Decimal Digits: | 30381 (log10 is 30380.581891517) |
| Rank (*): | 70393 (digit rank is 1) |
| Entrance Rank (*): | 4707 |
| Currently on list? (*): | no |
| Submitted: | 12/15/2002 18:48:54 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 62740 |
| Status Flags: | none |
| Score (*): | 35.8787 (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 50
Subcategory: "1/3"
(archival tag id 230044, tag last modified 2025-01-18 22:37:21)
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 62740 person_id 9 machine Windows XP P4 1.8GHz what prime notes Primality testing 69*2^100916-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 69*2^100916-1 is prime! (297.430000 seconds) PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N+1 test using discriminant 5, base 1+sqrt(5) modified 2003-03-25 17:23:54 created 2002-12-26 21:57:35 id 52534
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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