33957462 · Bern(2370)/40685

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:33957462 · Bern(2370)/40685
Verification status (*):PRP
Official Comment (*):Irregular, ECPP
Proof-code(s): (*):c11 : Oakes, Primo
Decimal Digits:5083   (log10 is 5082.4983802009)
Rank (*):91353 (digit rank is 1)
Entrance Rank (*):27129
Currently on list? (*):short
Submitted:6/4/2003 09:01:42 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:64952
Status Flags:Verify
Score (*):30.34 (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.
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 558
Subcategory: "ECPP"
(archival tag id 195169, tag last modified 2024-07-11 00:37:12)
Irregular Primes (archivable *)
Prime on list: yes, rank 17
Subcategory: "Irregular Primes"
(archival tag id 195168, tag last modified 2023-03-11 16:02:31)

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.
machineLinux P4 2.8GHz
notesPFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Primality Running N-1 test using base 2 5757722764...0966235907 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 5 Running N-1 test using base 7 Running N-1 test using base 13 Running N-1 test using base 19 Running N+1 test using discriminant 29, base 2+sqrt(29) Calling N+1 BLS with factored part 0.20% and helper 0.14% (0.73% proof) 3150505201...0966235907 is Fermat and Lucas PRP! (49.340000 seconds)
modified2020-07-07 22:30:47
created2003-06-08 02:44:52

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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