45 · 219301 + 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:45 · 219301 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):Y : Young
Decimal Digits:5812   (log10 is 5811.8331588243)
Rank (*):89418 (digit rank is 1)
Entrance Rank (*):127
Currently on list? (*):no
Submitted:4/1/1993 05:59:59 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):11/27/1998 22:49:26 UTC
Database id:23122
Status Flags:none
Score (*):30.7565 (normalized score 0)

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.
fieldvalue
prime_id23122
person_id9
machineLinux PII 200
whatprime
notesPFGW Version 1.1 for Pentium and compatibles Running N-1 test using base 7 Primality testing 45*2^19301+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.97% 45*2^19301+1 is prime! (37.220000 seconds)
modified2003-03-25 17:26:05
created2002-12-08 17:08:26
id29673

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