104944 · 51610735 - 1
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The nth Prime Page will now find any of the first 2,623,557,157,654,233 primes or π(x) for x up to 100,000,000,000,000,000.

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:104944 · 51610735 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L3849 : Smith10, Srsieve, PrimeGrid, SierpinskiRiesel, LLR
Decimal Digits:1125861   (log10 is 1125860.4708918)
Rank (*):106 (digit rank is 1)
Entrance Rank (*):59
Currently on list? (*):short
Submitted:4/10/2014 15:02:42 CDT
Last modified:4/12/2014 14:52:12 CDT
Database id:117597
Status Flags:TrialDiv
Score (*):46.9967 (normalized score 26.2603)

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_id117597
person_id9
machineWinXP Dual Core 2.6GHz 64-bit Laptop
whatprime
notesCommand: pfgw64.exe -tp -q"104944*5^1610735-1" 2>&1
PFGW Version 3.7.3.64BIT.20130210.Win_Dev [GWNUM 27.8]
Primality testing 104944*5^1610735-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 3, base 1+sqrt(3)
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
104944*5^1610735-1 is prime! (67490.7757s+0.0592s)
[Elapsed time: 67493 seconds]
modified2014-04-14 15:25:10
created2014-04-11 19:38:55
id163141

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