977 · 22606211 + 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:977 · 22606211 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L4746 : Brech, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:784551   (log10 is 784550.675923983)
Rank (*):704 (digit rank is 1)
Entrance Rank (*):617
Currently on list? (*):short
Submitted:7/25/2018 18:02:04 CDT
Last modified:7/25/2018 19:20:20 CDT
Database id:125498
Status Flags:TrialDiv
Score (*):45.8884 (normalized score 7.2118)

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_id125498
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"977*2^2606211+1" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing 977*2^2606211+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%


977*2^2606211+1 is prime! (2782.9101s+0.0012s)
[Elapsed time: 46.38 minutes]
modified2018-09-25 13:41:11
created2018-07-25 18:11:01
id171172

Query times: 0.0006 seconds to select prime, 0.0005 seconds to seek comments.