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Re: When will roblox run out of usernames?

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LOLM8XDDDDD is not online. LOLM8XDDDDD
Joined: 07 Jun 2015
Total Posts: 1296
01 Oct 2016 03:02 AM
question


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Tyjid is not online. Tyjid
Joined: 01 Nov 2011
Total Posts: 5706
01 Oct 2016 03:03 AM
Tomorrow, 11:43 A.M. MidWestern time

/Because screw the filter/ A penny saved is a penny earned, but the government will take it anyways
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Arxios is not online. Arxios
Joined: 05 Oct 2013
Total Posts: 1700
01 Oct 2016 03:03 AM
Someday


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tqia is not online. tqia
Joined: 10 Aug 2014
Total Posts: 5615
01 Oct 2016 03:04 AM
dont know dont care
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MissTurtlePrincess is not online. MissTurtlePrincess
Joined: 21 Dec 2013
Total Posts: 21815
01 Oct 2016 03:04 AM
Probably never idk
But it would be cool if they deleted all the inactive users so we could steal their user 😜
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MrCreeper134 is not online. MrCreeper134
Joined: 11 Jun 2012
Total Posts: 4192
01 Oct 2016 03:07 AM
Soon, if people keep bot spamming games with random numbers and letters for usernames
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Yamuura is not online. Yamuura
Joined: 01 Jan 2016
Total Posts: 321
01 Oct 2016 03:09 AM
there's like 100 trillion+ possible combinations



chances are never


ok
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EXcellent is not online. EXcellent
Joined: 22 Feb 2009
Total Posts: 93272
01 Oct 2016 03:09 AM
There are 36 different characters allowed, with a limit of 20 characters per name.

36^20 = (1.33675)(10^31)

Now, I COULD possibly graph the accelerated rate of usernames based on accounts made per day on, say, September 1st of each year starting in 2006, but it's 4 am and I don't feel like digging for that data.
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appie8 is not online. appie8
Joined: 09 Jul 2016
Total Posts: 57084
01 Oct 2016 03:13 AM
it would take trillions upon trillions of years


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EXcellent is not online. EXcellent
Joined: 22 Feb 2009
Total Posts: 93272
01 Oct 2016 03:15 AM
"it would take trillions upon trillions of years"
Mmmmm...

Iunno.
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appie8 is not online. appie8
Joined: 09 Jul 2016
Total Posts: 57084
01 Oct 2016 03:21 AM
accounts are made at a rate of 5 in 1 second (assuming this rate doesn't change in the future)
1 billion seconds =~ 31 years
1.33675*10^31 / 5 = 2.6735*10^30
2.6735*10^30 / 1*10^9 = 2.6735*10^21 * 31 =~ 8.28785*10^22

it would take 8 with 22 zeroes of years

but im bad at math i may have made some mistake


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EXcellent is not online. EXcellent
Joined: 22 Feb 2009
Total Posts: 93272
01 Oct 2016 03:28 AM
Okay I went through the tedious task of calculating how many CUMULATIVE accounts were made up to a fixed date. There's definitely a slight margin for error as I don't go with exact time, just the exact date.

2006 - 1545
2007 - 49500
2008 - 875500
2009 - 4203945
2010 - 9763945
2011 - 19323955
2012 - 31323955
2013 - 47313955
2014 - 67262955
2015 - 91862955
2016 - 153762955

It appears to be an exponential increase. I'm going to calculate how long it would take to reach (1.33675)(10^31).
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EXcellent is not online. EXcellent
Joined: 22 Feb 2009
Total Posts: 93272
01 Oct 2016 03:50 AM
Alright, so, through some calculator wizardy, the least squares regression equation (i.e. slope prediction) is:

y=3.6568+(0.0000006054)x

Where y is the number of years since before the first data point at <2006 (e.g. 2006 would correspond to "1" in the data set) while x is the number of cumulative accounts at that date at that year.

Now, we know our x: (1.33675)(10^31)

Thus, we just plug in:

y=3.6568+(0.00000006054)((1.33675)(10^31))
y=3.6568+(8.0929)(10^24)
y=~809,290,000,000,000,000,000,000 years, aka the year 80,929,000,000,000,000,000,002,005.

So, yes, you were actually right, though you had an underestimate.

There's most definitely error but this is the best I can do at 4:40 in the morning.

You can also use this to predict how many accounts there will be at a certain year if you want. Like, 2025? Subtract 2005 from it first to get 20, and then:

20=3.6568+(0.00000006054)x
x=~330,360,088 accounts on August 18th, 2025

Math is cool!
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tqia is not online. tqia
Joined: 10 Aug 2014
Total Posts: 5615
01 Oct 2016 03:51 AM
@excellent can u do my math hw pls
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EXcellent is not online. EXcellent
Joined: 22 Feb 2009
Total Posts: 93272
01 Oct 2016 03:53 AM
"@excellent can u do my math hw pls"
Yeah sure, give me a problem.
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tqia is not online. tqia
Joined: 10 Aug 2014
Total Posts: 5615
01 Oct 2016 03:55 AM
ok 1 sec
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2013henry is not online. 2013henry
Joined: 09 Apr 2013
Total Posts: 39768
01 Oct 2016 03:55 AM
EXcellent, if they ever have a maths competition through the forums, I'm electing you as my representative.


Consider this
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appie8 is not online. appie8
Joined: 09 Jul 2016
Total Posts: 57084
01 Oct 2016 03:56 AM
oh well i didnt take the rise in accounts per year in consideration o_O


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EXcellent is not online. EXcellent
Joined: 22 Feb 2009
Total Posts: 93272
01 Oct 2016 03:58 AM
"EXcellent, if they ever have a maths competition through the forums, I'm electing you as my representative."
I'm honored.

"oh well i didnt take the rise in accounts per year in consideration o_O"
Yeah, that's important. If it was a linear increase, your method would have worked, but it's a definite exponential increase. Imagine straight line versus a rapidly curving upward line.
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tqia is not online. tqia
Joined: 10 Aug 2014
Total Posts: 5615
01 Oct 2016 03:59 AM
nvm i already did it
ty anyway
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appie8 is not online. appie8
Joined: 09 Jul 2016
Total Posts: 57084
01 Oct 2016 03:59 AM
yeah oh well i just couldnt imagine ppl creating accounts on roblox at a much higher rate than they are doing now thats why

but it makes sense to me now


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EXcellent is not online. EXcellent
Joined: 22 Feb 2009
Total Posts: 93272
01 Oct 2016 03:59 AM
"ty anyway"
You're...welcome?

I didn't do anything but alright.
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tqia is not online. tqia
Joined: 10 Aug 2014
Total Posts: 5615
01 Oct 2016 04:01 AM
thanks for offering help!!!!
also im learning about trigonometry
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EXcellent is not online. EXcellent
Joined: 22 Feb 2009
Total Posts: 93272
01 Oct 2016 04:02 AM
"yeah oh well i just couldnt imagine ppl creating accounts on roblox at a much higher rate than they are doing now thats why"
It probably would have been more accurate had I not done cumulative totals and instead went with number of accounts created in a one year period, for every year.

Buuuut I already did enough tedious math so I'm not doing that.
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EXcellent is not online. EXcellent
Joined: 22 Feb 2009
Total Posts: 93272
01 Oct 2016 04:03 AM
"also im learning about trigonometry"
Ah, yes yes. I took Trig my junior year of high school.

All I remember is SOHCAHTOA.
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