primV(24998)
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: | primV(24998) |
|---|---|
| Verification status (*): | PRP |
| Official Comment (*): | Lucas primitive part, ECPP |
| Proof-code(s): (*): | c48 : Peets, OpenPFGW, Primo |
| Decimal Digits: | 5033 (log10 is 5032.4815231937) |
| Rank (*): | 91435 (digit rank is 5) |
| Entrance Rank (*): | 46882 |
| Currently on list? (*): | no |
| Submitted: | 11/16/2008 14:37:28 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 85760 |
| Blob database id: | 217 |
| Status Flags: | Verify |
| Score (*): | 30.3092 (normalized score 0) |
Description: (from blob table id=217)
[This prime has a pre-calculated decimal expansion (linked blob)]
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.
- Lucas primitive part (archivable *)
- Prime on list: no, rank 78
Subcategory: "Lucas primitive part"
(archival tag id 195664, tag last modified 2023-11-13 17:37:16)- Elliptic Curve Primality Proof (archivable *)
- Prime on list: no, rank 559
Subcategory: "ECPP"
(archival tag id 195180, tag last modified 2024-04-24 05:37:26)
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 85760 person_id 9 machine Ditto P4 P4 what prp notes PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 3030562142...6070224001 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 59 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(2048,21) to FFT(2048,20) Reduced from FFT(2048,20) to FFT(2048,19) Reduced from FFT(2048,19) to FFT(2048,18) Reduced from FFT(2048,18) to FFT(2048,17) 33444 bit request FFT size=(2048,17) Running N-1 test using base 67 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(2048,21) to FFT(2048,20) Reduced from FFT(2048,20) to FFT(2048,19) Reduced from FFT(2048,19) to FFT(2048,18) Reduced from FFT(2048,18) to FFT(2048,17) 33444 bit request FFT size=(2048,17) Running N+1 test using discriminant 73, base 24+sqrt(73) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(2048,21) to FFT(2048,20) Reduced from FFT(2048,20) to FFT(2048,19) Reduced from FFT(2048,19) to FFT(2048,18) Reduced from FFT(2048,18) to FFT(2048,17) 33452 bit request FFT size=(2048,17) Calling N-1 BLS with factored part 1.91% and helper 0.17% (5.92% proof) 3030562142...6070224001 is Fermat and Lucas PRP! (11.8500s+0.0000s) [Elapsed time: 12.00 seconds] modified 2020-07-07 22:30:39 created 2008-11-16 14:38:02 id 100991
field value prime_id 85760 person_id 9 machine RedHat P4 P4 what trial_divided notes PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] 3030562142...3872973532.........5081688245245906 1/1 trial factoring to 1365635 3030562142...6070224001 has no small factor. [Elapsed time: 2.718 seconds] modified 2020-07-07 22:30:39 created 2008-11-16 14:52:01 id 100992
Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.
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