701 · 23479779 + 1
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At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: 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:

field (help)value
Description:701 · 23479779 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L2125 : Greer, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:1047521   (log10 is 1047520.70299963)
Rank (*):260 (digit rank is 1)
Entrance Rank (*):211
Currently on list? (*):short
Submitted:2/19/2018 04:20:27 CDT
Last modified:2/19/2018 05:50:22 CDT
Database id:124401
Status Flags:TrialDiv
Score (*):46.7754 (normalized score 17.8368)

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_id124401
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"701*2^3479779+1" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing 701*2^3479779+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%


701*2^3479779+1 is prime! (5073.2422s+0.0013s)
[Elapsed time: 84.57 minutes]
modified2018-09-25 13:41:14
created2018-02-19 04:21:01
id170065

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