"Gaps20_PrP3397a - 110070"
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: | "Gaps20_PrP3397a - 110070" |
|---|---|
| Verification status (*): | PRP |
| Official Comment (*): | Start gap, ECPP |
| Unofficial Comments: | This prime has 1 user comment below. |
| Proof-code(s): (*): | c19 : Broadhurst, Dubner, Primo |
| Decimal Digits: | 3397 (log10 is 3396.13886761) |
| Rank (*): | 95212 (digit rank is 7) |
| Entrance Rank (*): | 26491 |
| Currently on list? (*): | no |
| Submitted: | 1/17/2002 23:36:27 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 28903 |
| Blob database id: | 8 |
| Status Flags: | Verify |
| Score (*): | 29.0865 (normalized score 0) |
Description: (from blob table id=8)
Certified prime by David Broadhurst and Harvey Dubner (2002) Decimal size = 3397 Binary size = 11282
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.
- Gap Primes (tolerated *)
- Prime on list: no, rank 5
Subcategory: "Gap Primes"
(archival tag id 175250, tag last modified 2023-03-11 15:53:59)- Elliptic Curve Primality Proof (archivable *)
- Prime on list: no, rank 698
Subcategory: "ECPP"
(archival tag id 175249, tag last modified 2024-04-19 02:37:11)
User comments about this prime (disclaimer):
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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 28903 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 2 Primality testing 1376789715...5485450413 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Running N-1 test using base 7 Running N+1 test using discriminant 17, base 3+sqrt(17) Calling N-1 BLS with factored part 0.08% and helper 0.01% (0.27% proof) 1376789715...5485450413 is Fermat and Lucas PRP! (216.630000 seconds) modified 2003-03-25 17:21:44 created 2003-01-30 23:48:56 id 67973
Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.
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