93 · 261904 + 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 · 261904 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):gd : Dubner, Proth.exe
Decimal Digits:18637   (log10 is 18636.929334532)
Rank (*):76990 (digit rank is 1)
Entrance Rank (*):173
Currently on list? (*):no
Submitted:7/21/1998 04:50:16 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):4/13/2001 12:29:10 UTC
Database id:9997
Status Flags:none
Score (*):34.3679 (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(61902, 8, 7).

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_id9997
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 13 Primality testing 93*2^61904+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 93*2^61904+1 is prime! (47.588000 seconds)
modified2003-03-25 17:23:25
created2002-12-29 19:15:02
id57218

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