primU(34593)
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: | primU(34593) |
|---|---|
| Verification status (*): | PRP |
| Official Comment (*): | Fibonacci primitive part, ECPP |
| Unofficial Comments: | This prime has 1 user comment below. |
| Proof-code(s): (*): | c8 : Broadhurst, Water, Primo |
| Decimal Digits: | 4444 (log10 is 4443.7962385907) |
| Rank (*): | 92989 (digit rank is 1) |
| Entrance Rank (*): | 44925 |
| Currently on list? (*): | no |
| Submitted: | 8/25/2007 21:24:33 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 82036 |
| Status Flags: | Verify |
| Score (*): | 29.9227 (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.
- Fibonacci Primitive Part (archivable *)
- Prime on list: no, rank 29
Subcategory: "Fibonacci Primitive Part"
(archival tag id 195438, tag last modified 2023-03-11 15:53:59)- Elliptic Curve Primality Proof (archivable *)
- Prime on list: no, rank 590
Subcategory: "ECPP"
(archival tag id 195437, tag last modified 2024-04-24 05:37:26)
User comments about this prime (disclaimer):
User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.
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 82036 person_id 9 machine RedHat P4 P4 what trial_divided notes PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] 6255162415...2154259338.........3582467832027333 1/1 trial factoring to 1192990 6255162415...3806420161 has no small factor. [Elapsed time: 3.040 seconds] modified 2020-07-07 22:30:41 created 2007-08-25 21:52:02 id 93191
field value prime_id 82036 person_id 9 machine RedHat P4 P4 what prp notes PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 6255162415...3806420161 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(1792,21) to FFT(1792,20) Reduced from FFT(1792,20) to FFT(1792,19) Reduced from FFT(1792,19) to FFT(1792,18) Reduced from FFT(1792,18) to FFT(1792,17) 29532 bit request FFT size=(1792,17) Running N+1 test using discriminant 31, base 15+sqrt(31) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(1792,21) to FFT(1792,20) Reduced from FFT(1792,20) to FFT(1792,19) Reduced from FFT(1792,19) to FFT(1792,18) Reduced from FFT(1792,18) to FFT(1792,17) 29540 bit request FFT size=(1792,17) Calling N-1 BLS with factored part 1.63% and helper 0.03% (4.93% proof) 6255162415...3806420161 is Fermat and Lucas PRP! (8.0900s+0.0100s) [Elapsed time: 9 seconds] modified 2020-07-07 22:30:41 created 2007-08-26 04:58:39 id 93199
Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.