4 · 33522 + 1

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.

Description:4 · 33522 + 1
Verification status (*):Proven
Official Comment (*):Generalized Fermat
Proof-code(s): (*):C : Caldwell, Cruncher
Decimal Digits:1682   (log10 is 1681.02311911398)
Rank (*):101981 (digit rank is 1)
Entrance Rank (*):1346
Currently on list? (*):no
Last modified:1992
Removed (*):10/1995
Database id:38334
Status Flags:none
Score (*):26.8951 (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.
Generalized Fermat (archivable *)
Prime on list: no, rank 5600
Subcategory: "Generalized Fermat"
(archival tag id 208765, tag last modified 2020-10-19 20:20:26)

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 PII 200
notesPFGW Version 1.1 for Pentium and compatibles Running N-1 test using base 2 Primality testing 4*3^3522+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Running N-1 test using base 7 Calling Brillhart-Lehmer-Selfridge with factored part 99.96% 4*3^3522+1 is prime! (18.420000 seconds)
modified2003-03-25 11:27:11
created2002-12-06 00:00:05

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.