- 30 · Bern(10264)/262578313564364605963

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: - 30 · Bern(10264)/262578313564364605963
Verification status (*):PRP
Official Comment (*):Irregular, ECPP
Proof-code(s): (*):c94 : Gelhar, Ritschel, TOPS, Primo
Decimal Digits:28506   (log10 is 28505.800940612)
Rank (*):70468 (digit rank is 1)
Entrance Rank (*):64698
Currently on list? (*):short
Submitted:5/1/2021 17:04:07 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:132255
Status Flags:Verify
Score (*):35.6818 (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.
Irregular Primes (archivable *)
Prime on list: yes, rank 1
Subcategory: "Irregular Primes"
(archival tag id 226088, tag last modified 2023-03-11 15:53:59)
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 42
Subcategory: "ECPP"
(archival tag id 226089, tag last modified 2023-12-16 03:37:30)

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.
machineUsing: Xeon (pool) 4c+4c 3.5GHz
notesPFGW Version [GWNUM 29.8] Primality testing 6323253782...0306225027 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 5, base 1+sqrt(5) Calling N+1 BLS with factored part 0.01% and helper 0.00% (0.03% proof) 6323253782...0306225027 is Fermat and Lucas PRP! (63.7470s+0.0036s) [Elapsed time: 63.00 seconds]
modified2021-05-03 18:39:09
created2021-05-01 17:05:26

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.