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546351925018076058 · Bern(9702)/129255048976106804786904258880518941
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:||546351925018076058 · Bern(9702)/129255048976106804786904258880518941|
|Verification status (*):||PRP|
|Official Comment (*):||Irregular, ECPP|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||c77 : Batalov, Primo|
|Decimal Digits:||26709 (log10 is 26708.381477375)|
|Rank (*):||68606 (digit rank is 1)|
|Entrance Rank (*):||64602|
|Currently on list? (*):||short|
|Submitted:||1/27/2021 18:43:32 UTC|
|Last modified:||3/11/2023 15:54:10 UTC|
|Status Flags:||Verify, TrialDiv|
|Score (*):||35.4806 (normalized score 0)|
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.
- Irregular Primes (archivable *)
- Prime on list: yes, rank 2
Subcategory: "Irregular Primes"
(archival tag id 225809, tag last modified 2023-03-11 15:53:59)
- Elliptic Curve Primality Proof (archivable *)
- Prime on list: no, rank 33
(archival tag id 225810, tag last modified 2023-03-11 16:02:30)
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.
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 131616 person_id 9 machine Using: Xeon (pool) 4c+4c 3.5GHz what prp notes PFGW Version 188.8.131.52BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing 2407007117...3549995533 [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 0.01% and helper 0.01% (0.05% proof) 2407007117...3549995533 is Fermat and Lucas PRP! (56.1506s+0.0036s) [Elapsed time: 56.00 seconds] modified 2021-04-20 22:39:25 created 2021-01-27 18:46:19 id 177313
Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
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