2985 · 21097669 + 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:2985 · 21097669 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L2949 : Kostal, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:330435   (log10 is 330434.76925482)
Rank (*):20622 (digit rank is 1)
Entrance Rank (*):2277
Currently on list? (*):no
Submitted:3/23/2013 12:16:13 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):2/11/2014 02:59:51 UTC
Database id:111785
Status Flags:none
Score (*):43.2324 (normalized score 0.1764)

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_id111785
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 2985 2 1097669 1 2>&1 [Elapsed time: 10.302 seconds]
modified2020-07-07 22:30:22
created2013-03-23 12:18:43
id153886

fieldvalue
prime_id111785
person_id9
machineWinXP Dual Core 2.6GHz 64-bit Laptop
whatprime
notesCommand: pfgw64.exe -t -q"2985*2^1097669+1" 2>&1 PFGW Version 3.7.3.64BIT.20130210.Win_Dev [GWNUM 27.8] Primality testing 2985*2^1097669+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 2985*2^1097669+1 is prime! (543.5273s+0.0028s) [Elapsed time: 543 seconds]
modified2020-07-07 22:30:22
created2013-03-23 20:34:18
id153916

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