59053995 · 2121681 - 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:59053995 · 2121681 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L9 : Findley_S, NewPGen, 15k, LLR
Decimal Digits:36638   (log10 is 36637.402151672)
Rank (*):65604 (digit rank is 1)
Entrance Rank (*):4306
Currently on list? (*):no
Submitted:7/8/2003 02:26:12 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):9/18/2003 17:37:09 UTC
Database id:65427
Status Flags:none
Score (*):36.4571 (normalized score 0.0001)

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_id65427
person_id9
machineWinXP P4 1.8GHz
whatprime
notesPrimality testing 59053995*2^121681-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.98% 59053995*2^121681-1 is prime! (283.400000 seconds) PFGW Version 20030108.Win_Dev (Alpha 'caveat utilitor') [FFT v22.12 w/P4] Running N+1 test using discriminant 29, base 1+sqrt(29)
modified2020-07-07 22:30:47
created2003-07-08 13:48:08
id70260

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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