(2850713831 - 1)/28506
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: | (2850713831 - 1)/28506 |
|---|---|
| Verification status (*): | PRP |
| Official Comment (*): | Generalized repunit |
| Unofficial Comments: | This prime has 1 user comment below. |
| Proof-code(s): (*): | CH12 : Propper, Batalov, OpenPFGW, Primo, CHG |
| Decimal Digits: | 61612 (log10 is 61611.979477796) |
| Rank (*): | 57958 (digit rank is 1) |
| Entrance Rank (*): | 50143 |
| Currently on list? (*): | yes |
| Submitted: | 8/21/2020 20:45:37 UTC |
| Last modified: | 5/20/2023 20:59:19 UTC |
| Database id: | 131079 |
| Status Flags: | Verify |
| Score (*): | 38.0613 (normalized score 0.0007) |
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: yes, rank 13
Subcategory: "Generalized Repunit"
(archival tag id 225643, tag last modified 2025-01-20 23:37:21)
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 131079 person_id 9 machine Using: Xeon (pool) 4c+4c 3.5GHz what prp notes Command: /home/caldwell/clientpool/4/pfgw64 -tc -q"(28507^13831-1)/28506" 2>&1 PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing (28507^13831-1)/28506 [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 37, base 12+sqrt(37) Calling N-1 BLS with factored part 0.14% and helper 0.00% (0.42% proof) (28507^13831-1)/28506 is Fermat and Lucas PRP! (354.2318s+0.0015s) [Elapsed time: 5.90 minutes] modified 2021-04-20 22:39:26 created 2020-08-21 20:46:01 id 176767
Query times: 0.0003 seconds to select prime, 0.0005 seconds to seek comments.
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