1039026 + 4538354 · 1019510 + 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.

This prime's information:

Description:1039026 + 4538354 · 1019510 + 1
Verification status (*):Proven
Official Comment (*):Palindrome
Proof-code(s): (*):D : Dubner, Cruncher
Decimal Digits:39027   (log10 is 39026)
Rank (*):65185 (digit rank is 1)
Entrance Rank (*):1084
Currently on list? (*):no
Submitted:7/17/2001 22:21:11 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:2507
Status Flags:none
Score (*):36.6521 (normalized score 0.0002)

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.
Palindrome (archivable *)
Prime on list: no, rank 146
Subcategory: "Palindrome"
(archival tag id 190694, tag last modified 2024-01-17 08:37:12)

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.
machineWinXP Athlon 1.3GHz
notesPFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N-1 test using base 23 Primality testing 10^39026+4538354*10^19510+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 34.94% 1/0 10^39026+4538354*10^19510+1 is prime! (707.988000 seconds)
modified2003-03-25 17:22:39
created2003-01-09 23:08:36

Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.