U(42829)/107130175995197969243646842778153077
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: | U(42829)/107130175995197969243646842778153077 |
|---|---|
| Verification status (*): | PRP |
| Official Comment (*): | Fibonacci cofactor, ECPP |
| Proof-code(s): (*): | c8 : Broadhurst, Water, Primo |
| Decimal Digits: | 8916 (log10 is 8915.3522474458) |
| Rank (*): | 86168 (digit rank is 3) |
| Entrance Rank (*): | 68102 |
| Currently on list? (*): | yes |
| Submitted: | 4/25/2014 11:48:09 UTC |
| Last modified: | 5/20/2023 20:59:19 UTC |
| Database id: | 117721 |
| Status Flags: | Verify |
| Score (*): | 32.0842 (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 381
Subcategory: "ECPP"
(archival tag id 217683, tag last modified 2025-01-20 23:37:20)- Fibonacci cofactor (archivable *)
- Prime on list: yes, rank 17
Subcategory: "Fibonacci cofactor"
(archival tag id 217684, tag last modified 2024-07-27 21:37:12)
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 117721 person_id 9 machine WinXP Dual Core 2.6GHz 32-bit what prp notes Command: pfgw32.exe -tc -q"U(42829)/107130175995197969243646842778153077" 2>&1 PFGW Version 3.7.3.32BIT.20130210.Win_Dev [GWNUM 27.8] Primality testing U(42829)/1071301759...2778153077 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 5, base 4+sqrt(5) Calling N+1 BLS with factored part 0.23% and helper 0.02% (0.71% proof) U(42829)/1071301759...2778153077 is Fermat and Lucas PRP! (21.4698s+0.0540s) [Elapsed time: 22 seconds] modified 2020-07-07 22:30:17 created 2014-04-25 12:20:15 id 163265
Query times: 0.0003 seconds to select prime, 0.0005 seconds to seek comments.
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