(325569283 - 1)/32555
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: | (325569283 - 1)/32555 |
|---|---|
| Verification status (*): | PRP |
| Official Comment (*): | Generalized repunit |
| Unofficial Comments: | This prime has 1 user comment below. |
| Proof-code(s): (*): | CH2 : Wu_T, OpenPFGW, Primo, CHG |
| Decimal Digits: | 41887 (log10 is 41886.241324849) |
| Rank (*): | 63557 (digit rank is 1) |
| Entrance Rank (*): | 34052 |
| Currently on list? (*): | no |
| Submitted: | 4/22/2011 07:57:41 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 99795 |
| Status Flags: | Verify |
| Score (*): | 36.8705 (normalized score 0.0002) |
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.
- Generalized Repunit (archivable *)
- Prime on list: no, rank 23
Subcategory: "Generalized Repunit"
(archival tag id 213219, tag last modified 2024-02-26 02:37:04)
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 99795 person_id 9 machine Ditto P4 P4 what trial_divided notes Command: /home/ditto/client/pfgw -o -f -q"(32556^9283-1)/32555" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] (32556^9283-1)/32555 1/1 mro=0 trial factoring to 13430677 (32556^9283-1)/32555 has no small factor. [Elapsed time: 48.852 seconds] modified 2020-07-07 22:30:31 created 2011-04-22 08:05:04 id 129115
field value prime_id 99795 person_id 9 machine Ditto P4 P4 what prp notes Command: /home/ditto/client/pfgw -tc -q"(32556^9283-1)/32555" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing (32556^9283-1)/32555 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N-1 test using base 5 Running N+1 test using discriminant 11, base 3+sqrt(11) Calling N-1 BLS with factored part 0.43% and helper 0.02% (1.33% proof) (32556^9283-1)/32555 is Fermat and Lucas PRP! (885.9712s+0.0017s) [Elapsed time: 14.77 minutes] modified 2020-07-07 22:30:31 created 2011-04-22 08:08:47 id 129117
Query times: 0.0003 seconds to select prime, 0.0003 seconds to seek comments.
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