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 4.4192515×1030.
To put that in perspective, according to Wolfram Alpha the estimated number of grains of sand in the entire world ranges from 1×1020 to 1×1024. 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 the first 16 digits of a Console ID are used to identify a PS3's Target ID and SKU. 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 1.8×1019 possible 16-digit hexadecimal combinations, which is significantly less than the 3.4×1038 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 wikipedia article that shows sales figures for Japan, Europe, and the US; and this article 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.
RegionUSJapanEuropeUKKoreaMexicoAustralia/NZSouth AsiaTaiwanRussiaHong Kong
Sales Figures (in millions)126.319.754.814.814.814.814.814.814.81
Number of SKUs13131111991113131113
Odds of Randomly Generating a Valid Console ID21 in 2.00×10131 in 3.81×10131 in 1.03×10131 in 4.06×10131 in 3.46×10131 in 3.46×10131 in 4.23×10131 in 5.00×10131 in 5.00×10131 in 4.23×10131 in 5.00×1013
1 - Estimated
2 - 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.
hopeful the helps you get back on psn do the math it works lol or pay!
FOR NOOBS USE PSN NOPEV1.2 IT MAKE RANDOM CIDS IF YOU CAN FIND ONE LOL!!!!!!
Credit: @baconpie
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 4.4192515×1030.
To put that in perspective, according to Wolfram Alpha the estimated number of grains of sand in the entire world ranges from 1×1020 to 1×1024. 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 the first 16 digits of a Console ID are used to identify a PS3's Target ID and SKU. 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 1.8×1019 possible 16-digit hexadecimal combinations, which is significantly less than the 3.4×1038 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 wikipedia article that shows sales figures for Japan, Europe, and the US; and this article 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.
RegionUSJapanEuropeUKKoreaMexicoAustralia/NZSouth AsiaTaiwanRussiaHong Kong
Sales Figures (in millions)126.319.754.814.814.814.814.814.814.81
Number of SKUs13131111991113131113
Odds of Randomly Generating a Valid Console ID21 in 2.00×10131 in 3.81×10131 in 1.03×10131 in 4.06×10131 in 3.46×10131 in 3.46×10131 in 4.23×10131 in 5.00×10131 in 5.00×10131 in 4.23×10131 in 5.00×1013
1 - Estimated
2 - 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.
hopeful the helps you get back on psn do the math it works lol or pay!
FOR NOOBS USE PSN NOPEV1.2 IT MAKE RANDOM CIDS IF YOU CAN FIND ONE LOL!!!!!!
Credit: @baconpie