V(25763)/92864275685263243511877732271066626563444291249
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: | V(25763)/92864275685263243511877732271066626563444291249 |
---|---|
Verification status (*): | PRP |
Official Comment (*): | Lucas cofactor, ECPP |
Unofficial Comments: | This prime has 1 user comment below. |
Proof-code(s): (*): | c8 : Broadhurst, Water, Primo |
Decimal Digits: | 5338 (log10 is 5337.1807270845) |
Rank (*): | 90283 (digit rank is 11) |
Entrance Rank (*): | 70478 |
Currently on list? (*): | no |
Submitted: | 5/23/2013 20:21:30 UTC |
Last modified: | 3/11/2023 15:54:10 UTC |
Database id: | 114222 |
Status Flags: | Verify |
Score (*): | 30.4919 (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.
- Elliptic Curve Primality Proof (archivable *)
- Prime on list: no, rank 530
Subcategory: "ECPP"
(archival tag id 217164, tag last modified 2024-03-24 06:37:14)- Lucas cofactor (archivable *)
- Prime on list: no, rank 30
Subcategory: "Lucas cofactor"
(archival tag id 217165, tag last modified 2023-11-19 12:37:21)
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 114222 person_id 9 machine Ditto P4 P4 what trial_divided notes Command: /home/ditto/client/pfgw -o -f -q"V(25763)/92864275685263243511877732271066626563444291249" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] V(25763)/9286427....6626563444291249 1/1 mro=0 trial factoring to 1455600 V(25763)/9286427568...3444291249 has no small factor. [Elapsed time: 0.757 seconds] modified 2020-07-07 22:30:19 created 2013-05-23 20:35:02 id 158822
field value prime_id 114222 person_id 9 machine Ditto P4 P4 what prp notes Command: /home/ditto/client/pfgw -tc -q"V(25763)/92864275685263243511877732271066626563444291249" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing V(25763)/9286427568...3444291249 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 11 Running N+1 test using discriminant 29, base 1+sqrt(29) Calling N+1 BLS with factored part 0.33% and helper 0.17% (1.19% proof) V(25763)/9286427568...3444291249 is Fermat and Lucas PRP! (9.9668s+0.0020s) [Elapsed time: 10.00 seconds] modified 2020-07-07 22:30:19 created 2013-05-23 20:38:08 id 158827
Query times: 0.0004 seconds to select prime, 0.0004 seconds to seek comments.
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