Post: Estimated odds of randomly generating a valid Console ID using PSID Patch.
02-09-2013, 02:50 AM #1
baconpie
Save Point
(adsbygoogle = window.adsbygoogle || []).push({}); So, you're banned from PSN/want to protect your CFW PS3 from getting banned. You check these forums, and discover that with a valid Console ID and PSID Patch you can unban/protect your PS3 from ban.

Problem is, you don't have a valid PS3 Console ID. But PSID Patch has an option to randomize your Console ID. The question is, what are the odds that a randomly generated Console ID will end up being valid?

PS3 Console IDs are 32 hexadecimal digits, followed by 32 null/zero digits. The number of possible combinations from 0x32 to Fx32 is 340282366920938463463374607431768211456. According to Wikipedia, the PS3 has sold 77 million units worldwide. That means the odds of randomly generating a valid Console ID are 77000000 in 340282366920938463463374607431768211456, which roughly translates to 1 in 4.4192515×10[SUP]30[/SUP].

To put that in perspective, according to Wolfram Alpha the estimated number of grains of sand in the entire world ranges from 1×10[SUP]20[/SUP] to 1×10[SUP]24[/SUP]. You're over a billion times more likely to randomly pick one "correct" grain of sand from all the grains of sand from all the beaches and oceans of the entire planet.

Good luck.


EDIT: So I just learned (with help from ItsDark's and sarracen's comments) that You must login or register to view this content.. PSID Patch does not change the first 16 digits of a console ID for this reason. This means a few things. For starters, there are 1.8×10[SUP]19[/SUP] possible 16-digit hexadecimal combinations, which is significantly less than the 3.4×10[SUP]38[/SUP] possible 32-digit hexadecimal combinations I was dealing with in my previous odds calculations. However, it also means I cannot use worldwide PS3 sales figures in my calculations, as different regions have different Target IDs locked to their region, meaning each Target ID has its own sales figures that needs to be used in place of the 77 million I was using earlier. This is further complicated when you factor in the different SKUs, since each Target ID/sales region has different sales figures for each of the many PS3 SKUs/model numbers.

I tried searching for PS3 sales figures by region and by model/SKU, but all I could come up with was this You must login or register to view this content. that shows sales figures for Japan, Europe, and the US; and You must login or register to view this content. about UK sales figures. I have no idea how the remaining 34 million PS3 sales are divided amongst the 7 other Target IDs. I found nothing on sales figures for different SKUs.

So, time to make wild guesses. I'll divide the 34 million unaccounted for sales evenly amongst the remaining 7 Target IDs. I'll also divide the sales for each region evenly amongst all PS3 SKUs/models available in that region. It's not going to be 100% accurate, but considering the extremely large numbers we're dealing with, it should be reasonably close.


Region US Japan Europe UK Korea Mexico Australia/NZ South Asia Taiwan Russia Hong Kong
Sales Figures (in millions) 12 6.3 19.7 5 4.8[SUP]1[/SUP] 4.8[SUP]1[/SUP] 4.8[SUP]1[/SUP] 4.8[SUP]1[/SUP] 4.8[SUP]1[/SUP] 4.8[SUP]1[/SUP] 4.8[SUP]1[/SUP]
Number of SKUs 13 13 11 11 9 9 11 13 13 11 13
Odds of Randomly Generating a Valid Console ID[SUP]2[/SUP] 1 in 2.00×10[SUP]13[/SUP] 1 in 3.81×10[SUP]13[/SUP] 1 in 1.03×10[SUP]13[/SUP] 1 in 4.06×10[SUP]13[/SUP] 1 in 3.46×10[SUP]13[/SUP] 1 in 3.46×10[SUP]13[/SUP] 1 in 4.23×10[SUP]13[/SUP] 1 in 5.00×10[SUP]13[/SUP] 1 in 5.00×10[SUP]13[/SUP] 1 in 4.23×10[SUP]13[/SUP] 1 in 5.00×10[SUP]13[/SUP]


[SUP]1[/SUP] - Estimated
[SUP]2[/SUP] - Obtained by using the formula "1 in" 18446744073709551616/(Sales Figures/Number of SKUs)

So, not quite as astronomical as originally thought, but still damn near impossible.
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02-09-2013, 01:01 PM #11
Originally posted by baconpie View Post
So, you're banned from PSN/want to protect your CFW PS3 from getting banned. You check these forums, and discover that with a valid Console ID and PSID Patch you can unban/protect your PS3 from ban.

Problem is, you don't have a valid PS3 Console ID. But PSID Patch has an option to randomize your Console ID. The question is, what are the odds that a randomly generated Console ID will end up being valid?

PS3 Console IDs are 32 hexadecimal digits, followed by 32 null/zero digits. The number of possible combinations from 0x32 to Fx32 is 340282366920938463463374607431768211456. According to Wikipedia, the PS3 has sold 77 million units worldwide. That means the odds of randomly generating a valid Console ID are 77000000 in 340282366920938463463374607431768211456, which roughly translates to 1 in 4.4192515×10[SUP]30[/SUP].

To put that in perspective, according to Wolfram Alpha the estimated number of grains of sand in the entire world ranges from 1×10[SUP]20[/SUP] to 1×10[SUP]24[/SUP]. You're over a billion times more likely to randomly pick one "correct" grain of sand from all the grains of sand from all the beaches and oceans of the entire planet.

Good luck.


Not entirely correct as the first 8 bytes relate to the SKU, target ID and possbly some region stuff, the following 8 are believed to be your console ID and the following 16 bytes are constant so the odds are greatly reduced.
I think the problem is generating a random console ID that is compatible with your SKU, target and Region..............whatever, its still long shot, I tried small adjustments to every byte in the ID but no luck :(
02-09-2013, 01:09 PM #12
KevinWinterX
< ^ > < ^ >
wow that impossible Not Happy or Sad
02-09-2013, 01:20 PM #13
XxUnkn0wnxX
F4LLEN ANG3L
like i said why not make a program on PC or a hombrew app on the PS3 that will keep generating a console id's and PSID's as second option and keep trying 2 sign in with the console id it generates until it manages 2 hit a valid 1 and store it in a text file called valid ids or something. this way u can leave it running on PC 24/7 or on the PS3 when u go 2 bed...
02-09-2013, 03:16 PM #14
magawa
Keeper
ok ,, What about mac address ,

anyway I want help to protect my console id from getting banned ....

I'm playing in psn from about 2 months in cfw without getting banned .... new games like battle field 3 and call of duty blaack ops and assasins creed 3 online ..

so , its just the PSID patch only will do it ??

bye .
02-09-2013, 04:21 PM #15
baconpie
Save Point
Originally posted by ltsDark View Post
Not entirely correct as the first 8 bytes relate to the SKU, target ID and possbly some region stuff, the following 8 are believed to be your console ID and the following 16 bytes are constant so the odds are greatly reduced.
I think the problem is generating a random console ID that is compatible with your SKU, target and Region..............whatever, its still long shot, I tried small adjustments to every byte in the ID but no luck :(

Originally posted by sarracen View Post
I knew the odds wouldn't be good but DAMN.
Although the first 10 hexadecimal digits are always 0000000100 so we can probably get them right.
That should make the odds "SLIGHTLY" better.lol


See my edit in the first post. Should be much more accurate now.

Originally posted by reaperburns88 View Post
So... should I play the lottery instead?


The odds of winning the lotto in my home state are 1 in 175,711,536. Even with the revised odds I posted today, you have a much better chance of winning the lotto several times consecutively than you do randomly generating a valid console ID. So, go ahead and play the lotto. If you win, buy a bunch of PS3s, and send me a couple. I could use some spare console IDs.

Originally posted by paki4life View Post
i just gened a vaild one lol


I sincerely hope you wrote down the console id once you successfully logged into PSN (after logging back out, of course). It's highly unlikely you'll generate another valid ID randomly before the heat death of the universe.

Originally posted by XxUnkn0wnxX View Post
like i said why not make a program on PC or a hombrew app on the PS3 that will keep generating a console id's and PSID's as second option and keep trying 2 sign in with the console id it generates until it manages 2 hit a valid 1 and store it in a text file called valid ids or something. this way u can leave it running on PC 24/7 or on the PS3 when u go 2 bed...


Mostly because I don't know how to program, but partially because such a program would likely be a waste of time. Such a program would need to try every 16-digit hexadecimal combination for every Target ID and every SKU possible. That's 18446744073709551616*11*13=2637884402540465881088 possible combinations. Since attempting to sign in to PSN is not an instantaneous process, testing all those combinations would take an absurd amount of time. Even at one attempt per second (which would be fast considering how long it normally takes to communicate with the PSN servers), it would take 6100 times longer than the current age of the universe to test them all. If all 1.2 billion PCs in the world today were to run such a program, and no two PCs attempted the same combination, it would still take 69659 years to finish testing all possible combinations.

I'm pretty sure Sony's next console would be out before then.

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MayhemLobbiez
02-09-2013, 04:23 PM #16
Originally posted by baconpie View Post
See my edit in the first post. Should be much more accurate now.



The odds of winning the lotto in my home state are 1 in 175,711,536. Even with the revised odds I posted today, you have a much better chance of winning the lotto several times consecutively than you do randomly generating a valid console ID. So, go ahead and play the lotto. If you win, buy a bunch of PS3s, and send me a couple. I could use some spare console IDs.



I sincerely hope you wrote down the console id once you successfully logged into PSN (after logging back out, of course). It's highly unlikely you'll generate another valid ID randomly before the heat death of the universe.



Mostly because I don't know how to program, but partially because such a program would likely be a waste of time. Such a program would need to try every 16-digit hexadecimal combination for every Target ID and every SKU possible. That's 18446744073709551616*11*13=2637884402540465881088 possible combinations. Since attempting to sign in to PSN is not an instantaneous process, testing all those combinations would take an absurd amount of time. Even at one attempt per second (which would be fast considering how long it normally takes to communicate with the PSN servers), it would take 6100 times longer than the current age of the universe to test them all. If all 1.2 billion PCs in the world today were to run such a program, and no two PCs attempted the same combination, it would still take 69659 years to finish testing all possible combinations.

I'm pretty sure Sony's next console would be out before then.

i did lol if i didnt id wont be able to live with my self lol
02-09-2013, 04:25 PM #17
Originally posted by baconpie View Post
So, you're banned from PSN/want to protect your CFW PS3 from getting banned. You check these forums, and discover that with a valid Console ID and PSID Patch you can unban/protect your PS3 from ban.

Problem is, you don't have a valid PS3 Console ID. But PSID Patch has an option to randomize your Console ID. The question is, what are the odds that a randomly generated Console ID will end up being valid?

PS3 Console IDs are 32 hexadecimal digits, followed by 32 null/zero digits. The number of possible combinations from 0x32 to Fx32 is 340282366920938463463374607431768211456. According to Wikipedia, the PS3 has sold 77 million units worldwide. That means the odds of randomly generating a valid Console ID are 77000000 in 340282366920938463463374607431768211456, which roughly translates to 1 in 4.4192515×10[SUP]30[/SUP].

To put that in perspective, according to Wolfram Alpha the estimated number of grains of sand in the entire world ranges from 1×10[SUP]20[/SUP] to 1×10[SUP]24[/SUP]. You're over a billion times more likely to randomly pick one "correct" grain of sand from all the grains of sand from all the beaches and oceans of the entire planet.

Good luck.


EDIT: So I just learned (with help from ItsDark's and sarracen's comments) that You must login or register to view this content.. PSID Patch does not change the first 16 digits of a console ID for this reason. This means a few things. For starters, there are 1.8×10[SUP]19[/SUP] possible 16-digit hexadecimal combinations, which is significantly less than the 3.4×10[SUP]38[/SUP] possible 32-digit hexadecimal combinations I was dealing with in my previous odds calculations. However, it also means I cannot use worldwide PS3 sales figures in my calculations, as different regions have different Target IDs locked to their region, meaning each Target ID has its own sales figures that needs to be used in place of the 77 million I was using earlier. This is further complicated when you factor in the different SKUs, since each Target ID/sales region has different sales figures for each of the many PS3 SKUs/model numbers.

I tried searching for PS3 sales figures by region and by model/SKU, but all I could come up with was this You must login or register to view this content. that shows sales figures for Japan, Europe, and the US; and You must login or register to view this content. about UK sales figures. I have no idea how the remaining 34 million PS3 sales are divided amongst the 7 other Target IDs. I found nothing on sales figures for different SKUs.

So, time to make wild guesses. I'll divide the 34 million unaccounted for sales evenly amongst the remaining 7 Target IDs. I'll also divide the sales for each region evenly amongst all PS3 SKUs/models available in that region. It's not going to be 100% accurate, but considering the extremely large numbers we're dealing with, it should be reasonably close.


Region US Japan Europe UK Korea Mexico Australia/NZ South Asia Taiwan Russia Hong Kong
Sales Figures (in millions) 12 6.3 19.7 5 4.8[SUP]1[/SUP] 4.8[SUP]1[/SUP] 4.8[SUP]1[/SUP] 4.8[SUP]1[/SUP] 4.8[SUP]1[/SUP] 4.8[SUP]1[/SUP] 4.8[SUP]1[/SUP]
Number of SKUs 13 13 11 11 9 9 11 13 13 11 13
Odds of Randomly Generating a Valid Console ID[SUP]2[/SUP] 1 in 2.00×10[SUP]13[/SUP] 1 in 3.81×10[SUP]13[/SUP] 1 in 1.03×10[SUP]13[/SUP] 1 in 4.06×10[SUP]13[/SUP] 1 in 3.46×10[SUP]13[/SUP] 1 in 3.46×10[SUP]13[/SUP] 1 in 4.23×10[SUP]13[/SUP] 1 in 5.00×10[SUP]13[/SUP] 1 in 5.00×10[SUP]13[/SUP] 1 in 4.23×10[SUP]13[/SUP] 1 in 5.00×10[SUP]13[/SUP]


[SUP]1[/SUP] - Estimated
[SUP]2[/SUP] - Obtained by using the formula "1 in" 18446744073709551616/(Sales Figures/Number of SKUs)

So, not quite as astronomical as originally thought, but still damn near impossible.


Good maths :confused:......................so how many members does NGU have? and how many times would every member have to try before 1 person hit a valid console ID? (statistically).........just trying to get to a number i can understand and say :confused:

Just waiting for the lying scroats coming in now saying they generated a valid ID
02-09-2013, 04:53 PM #18
baconpie
Save Point
Originally posted by ltsDark View Post
Good maths :confused:......................so how many members does NGU have? and how many times would every member have to try before 1 person hit a valid console ID? (statistically).........just trying to get to a number i can understand and say :confused:

Just waiting for the lying scroats coming in now saying they generated a valid ID


According to the bottom of the Forum Index page, NGU has 936,890 members. If every member decided to focus on finding one valid EUR PS3 console ID (since EUR has the best odds), it would take 1.099×10[SUP]7 [/SUP]attempts per member before they succeeded. That's 11 MILLION attempts. Per person. For ONE console ID.

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02-09-2013, 06:38 PM #19
MMC.TM - MGeoff
Do a barrel roll!
00000001008200031007652638976900000000000000000000000000000000

Not work.....:FU:

Error 8002A224

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