93 · 267722 + 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:93 · 267722 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):Y : Young
Decimal Digits:20389   (log10 is 20388.321849305)
Rank (*):75471 (digit rank is 1)
Entrance Rank (*):63
Currently on list? (*):no
Submitted:2/24/1998 15:07:40 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):6/20/2001 00:03:21 UTC
Database id:8540
Status Flags:none
Score (*):34.6457 (normalized score 0)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

Jeppe Stig Nielsen writes (13 May 2024):  (report abuse)
Melo (2002): Divides xGF(67721, 11, 3).

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_id8540
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 5 Primality testing 93*2^67722+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 93*2^67722+1 is prime! (43.592000 seconds)
modified2003-03-25 17:23:16
created2002-12-31 17:18:54
id58668

Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.
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