177 · 265806 + 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:177 · 265806 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):Y : Young
Decimal Digits:19812   (log10 is 19811.82786793)
Rank (*):73278 (digit rank is 1)
Entrance Rank (*):75
Currently on list? (*):no
Submitted:2/24/1998 15:07:40 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):6/8/2001 20:05:36 UTC
Database id:8746
Status Flags:none
Score (*):34.557 (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_id8746
person_id9
machineWinXP Athlon 1.3GHz
whatprime
notesPFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N-1 test using base 7 Primality testing 177*2^65806+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 177*2^65806+1 is prime! (42.260000 seconds)
modified2003-03-25 17:23:17
created2002-12-31 13:00:09
id58497

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
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