how improbable does something have to be before its deemed impossible? guessing the correct private key? 2 people creating the same private key in their wallets? 2 people having the same dna in a murder investigation? what are the chances a cat plays beethoven on piano or writes functioning computer code if it jumps on the keys? can the simplest known life form with 531000 dna building blocks containing 473 genes and each dna has 4 letters a c t and g come about by chance even though the possible combinations of dna exceed the number of atoms in the universe? if you see a house do you say it must exist by chance or that it was designed and built by intelligent design even though you never saw it built? did life and the universe come from nothing or from so called quantum fluctuations? "hebrews 3:4 Of course, every house is constructed by someone, but the one who constructed all things is God." is your god chance or intelligent design?
@@ben-ww7ks Things are only improbable when there are a lot of variants that are picked by one at random. As for the universe - it either was created by god or it wasn't. So from the point of probability it's 50\50. However, the probability that the universe was created by any god humans created in their stories is close to zero.
Go to the equator and deal a trillion hands. Take a step, repeat. When you arrive at your starting point remove a drop from the Pacific ocean, repeat. When it's empty, refill it and put a card on the ground repeat all. When the cards reach the sun repeat 3000 times, your private key is in there somewhere.
I can’t understand how this doesn’t have 21 Million views at least, btw loved the data about the Eddington number it adds to the to the etherial side of Bitcoin. Thanks for the work Andreas 👌
Andreas, you are amazing, always with the best explanations. Thanks for your massive effort to make Bitcoin, the tech behind and the principles, easy to understand. The crypto community owes you a lot.
My issue with this is no matter how slim the chance is, it’s still security through obscurity. A private key should be compared to generating a username, not the password. In that sense, a centralized entity will always have the upper hand due to simply being able to tell you “that username already exists”. Although there are a slew of other problems with central authorities, this is one that simply doesn’t exist for them (all things being equal). It really feels like a practical (hybrid) approach should be taken when considering how keys are generated for your blockchain even though this is looked down upon as not being fully decentralized. That sounds all fine and well until someone happens to get the same seed/private key as you without being nefarious, and there are no protections against it.
Great way to explain that. Throw in Ledgers and Trezors Passphrase feature and the number becomes more than all the atoms in every possible parallel universe and dimension. Cheers.
I've got a good one. I did the math on this and this is what I found; Trying to guess a private key, say you could try a key every second and everyone on the planet is too. It would take 75% longer than the universe has existed for someone to guess it. This is assuming of course the are no duplicate guesses.
Amazing video! Ever since learning about the wonders of Bitcoin I had this itching question, hearing the answer every time just blows my mind again and again.
It was a very similar video many years ago that first attracted me to Bitcoin. Hope this one attracts lots of new Bitcoiners. Very well described as usual Andreas. Would love a follow up with quantum computing. I know you've done some in the past but perhaps one at this basic level of guessing numbers.
I heard the sand perspective before (on all of earth) and I thought that was a lot, but didn't realize that was FARRRRR from the real "visual" of the question. Thank you!
@@txtpeer5179 I meant Tatooine. However I am happy to concede if you have numbers to back up that Arrakis has orders of magnitude more sand than Tatooine
One thing is there is almost infinite number of keys available but another thing is the possibility of the algorithm in charge of generating a key generates twice the same key. i’m not saying it’s very possible but i think the algorithm in charge is very important, must not be poorly designed. In tekken 7 (a fighting video game) when you select a random stage most of the time the same stage appears lol
Amazing. I didn’t realize the enormity of the possible numbers. Thanks to you my friend. I understood BTC when I 1st started researching years ago. I’m now jobless, but I don’t care. BTC has been taking good care of my family.
2^256 = around 10^77. I followed until 10^52 and I shouted "come on, I don't believe you!".... but I just realized we just do the math here, nothing to believe or not. It just is.
Thanks for the analysis! I have a quick question: I have a SafePal wallet with USDT, and I have the seed phrase. (alarm fetch churn bridge exercise tape speak race clerk couch crater letter). How can I transfer them to Binance?
School teaches you math and other subjects just enough so you can do the jobs they need, never to empower you with real inspirational knowledge and skills.
@@tradersendeavors School is one body of information, but not the only one can become educated. Who knows if he learnt the math he used to create Bitcoin from school or from other means like books. I’m not against school because it has many positives, being a medium from which you can learn and form an education, but there is a also a negative side to school just like everything in life has. You can’t forget that school is ultimately a business, a business with interests that might not align with yours. For instance it may be more profitable for school to produce students who will become workers rather then inventors, thinkers, creatives, thus they are disincentivised to develop that entrepreneurial side is student who align more to that. This is one example. It doesn’t apply to everyone, but I certainly felt school didn’t develop me in the ways I wanted and the ways I was most strongest at, I always saw it as meaningless and surface-level means to get a degree, to then work for a company. I dropped out of high-school and became a successful entrepreneur. I remember in business studies we learnt nothing whereas now me running my own business, actually learning practically, not just sitting in a classroom, it’s a whole new world.
Ok - convincing. But what if the random generator in a ledger hardware wallet, which creates seeds tends to generate certain seeds, because it is not able to generate each numbers with the same probability. Is this completely studied?
This is to get your family/friends off the lottery. Tell them about Satoshi's wallet and that there is a 1 in 2**256 chance they will gain access when they create a new seed.
This is an amazing video, I've been thinking about the chances of it and now I know it's very very tiny chance but still there is a chance of getting someone private key especially the whole thing is a random process, maybe not now , not in a ten years but there is a mistake gonna happen
The problem with upgrading to 512 is then you're adding double the amount of data to the blockchain everywhere we currently use hashes - transaction ID's, addresses (which are hashes of public keys), block hashes, etc. You'd have to update every single miner on the network to use new specialized hardware for SHA-512 instead of SHA-256. Private keys -> Public keys use ECDSA (Elliptic Curve Digital Signature Algorithm) rather than hashes - so if we went to some 512 bit ECDSA algorithm you'd also be introducing additional data for users to deal with (they'd have to update their seeds potentially, etc.) Not that this couldn't be done for an actual necessary reason (such as the current ECDSA or SHA being broken by cryptographers) - but the benefits of moving to 512 bits just aren't necessary. SHA-256 and secp256k1 are both considered to be very secure standards as far as we know.
A question from my side about numbers...how big of a chance is it, to find a Hash mining Bitcoin with a Raspberry Pi or the old USB Miner? You could be lucky to guess the right Hash, because It's like a lottery, correct?
You're doing a fantastic job! Could you help me with something unrelated: My OKX wallet holds some USDT, and I have the seed phrase. (air carpet target dish off jeans toilet sweet piano spoil fruit essay). How should I go about transferring them to Binance?
Interesting. So would I be correct to say that, if you had an industrial size super computer in Nigeria that was crunching out hundreds of trillions of random private keys every nanosecond, this machine would ultimately steal someone's bitcoin at some point. It would be like mining for diamonds, where you crash hundreds of tons of rock for that tiny precious diamond?
I get that 10 to the 77 is an unimaginably impressive number, but we do have super computers. What would happen if the most powerful supercomputer in the world were to identify all private keys, and then just cross-reference those that have a balance over 100,000$.. How long would that take, and is it even feasible?
If you had access to a super computer capable of checking 1 Trillion ( 10^9 ) per second, it would do 10^10 in 10 seconds, 10^11 in 100 seconds, 10^12 in 1000 (10^3) seconds, 10^13 in 10^4 seconds, 10^14 in 10^5 seconds .... that's 100,000 seconds or 1.15 days... let's just round that to one day ... 10^15 would take 10 days, 10^16 = 100 days, 10^17 = 1000 days, lets call that 3 years... 10^18 = 30 years, 10^19 = 300 years.... after this the numbers really start to get quite silly, and you have still checked way way less than 0.01% of the total available.
Possible positions in the Game of Go - 10 ^ 180. So all the atoms in the Universe, with each atom having a Universe of atoms inside it (10 ^ 154) plus change ;)
By time: If you consider the age of the universe: 13,8 B years ~ 10^17 seconds. Someone (maybe all computers on earth) brute forcing 1 sextillion (10^21) times per second. They would still need some 10^39 (a billion quadrillion quadrillions) times the age of the universe to guess a seed.
It can be done, but should take some time. Not only more than a human life, but also more than the Earth and Sun lifetime. Most probably more than the lifetime of all present and future stars.
Can we reduce that number if we assume that ledger and some well known walletes use similar words to combine this number wich as i understand we use English worlds generet this numbers that means that this number are limited used not in fully capacity im i correct, sorry for my bad English
Is that the same analogy to ronin wallet? Coz when I created my first ronin wallet, the system gave me 1 with lots of asset on it. I'll be honest I try to steal it but I think he is using a trezor.
🆘 How can know these hardware card like cold card are really creating seed phrase that is unknown to them? how can one very elsewhere that dice rolls o the cards comes up with with same result seed phrase ? need to know how cross verify that nothing untold is going on here ? thanks
each word of the list is among 2048 in the list . Then you do 2048 x 2048 x 2048 ...... up to 24 times ; It will give 10 exp 77 . You can check with a hand calculator . Easily
what if someone randomly restores a device with 24 random words from the official list.......and they restore someone else's random cold wallet?......not a specific one.....just some random wallet somewhere?
Fascinating. What about the ratio between the amount of private keys that can be generated in a given unit of time compared to the total amount of possible private keys. Can that be realistically estimated?
Most people use addresses which are 160 bit hashes of public keys. To spend those coins I don't need to know their private key. Any private key whose public key hashes to the same address will do. So I "only" have to search 2^160 = 10^48 = less than one galaxy's worth of silica atoms to steal their money, not the whole universe.
Its so unlikely that someone guesses your private key, that even thinking about that is a waste of energy. As long as your private key was derived from a seed phrase wich was at least 12 words long or better 24. Andreas give us an update on quantum cryptography, memorizing ever longer getting seed phrases annoys your fan base.
There are 2048 seed words. 2048 = 2^11 So, each word is 1 in 2^11 In a 24 word wallet, the first 23 are random. The last is a checksum. I won't explain why, but the last word is only 1 in 8 (1 in 2^3) Doing the math: number of possibilities are (2^11)^23 multiplied by 2^3. This is (2^253)*(2^3), or 2^256.
![Cryptocurrency Explained: What is a Mnemonic phrase? [Understanding Bitcoin Ethereum Crypto Keys]](http://i.ytimg.com/vi/pIvgjCvGlwo/mqdefault.jpg)
"So you're telling me there's a chance." - Llyod Christmas, Dumb and Dumber
He had a better chance guessing your private key than hooking up with that girl
how improbable does something have to be before its deemed impossible? guessing the correct private key? 2 people creating the same private key in their wallets? 2 people having the same dna in a murder investigation? what are the chances a cat plays beethoven on piano or writes functioning computer code if it jumps on the keys? can the simplest known life form with 531000 dna building blocks containing 473 genes and each dna has 4 letters a c t and g come about by chance even though the possible combinations of dna exceed the number of atoms in the universe? if you see a house do you say it must exist by chance or that it was designed and built by intelligent design even though you never saw it built? did life and the universe come from nothing or from so called quantum fluctuations?
"hebrews 3:4 Of course, every house is constructed by someone, but the one who constructed all things is God."
is your god chance or intelligent design?
@@ben-ww7ks Things are only improbable when there are a lot of variants that are picked by one at random. As for the universe - it either was created by god or it wasn't. So from the point of probability it's 50\50. However, the probability that the universe was created by any god humans created in their stories is close to zero.
So you're telling me you came up with the same thought at the same time and we both post it here? How probable is that? 😀
lol
In case someone's wondering, 2^256 = 115,792,089,237,316,195,423,570,985,008,687,907,853,269,984,665,640,564,039,457,584,007,913,129,639,936
Omg that video just blew my mind. I was laughing most of the time. I have heard you talk about this using the sand analogy, but never to this extent 😅
So you're telling me there's a chance... Lloyd Christmas
Lol is this an inside joke?
The risk is not the number of available private keys, it is the random algorithm that the wallet uses to pick one of those keys.
That's exactly the issue and many people got screwed by this already
Yes, it would be nice to see a follow up video on the best and worst ways to generate and safely store private keys.
And how big is this risk would you say? Sounds it needs to be explained in the video more.
Name one.
I guess we'll have to play the waiting game of the entire timeline of the life of the universe to see if it ever fails
Go to the equator and deal a trillion hands. Take a step, repeat. When you arrive at your starting point remove a drop from the Pacific ocean, repeat. When it's empty, refill it and put a card on the ground repeat all. When the cards reach the sun repeat 3000 times, your private key is in there somewhere.
I can’t understand how this doesn’t have 21 Million views at least, btw loved the data about the Eddington number it adds to the to the etherial side of Bitcoin.
Thanks for the work Andreas 👌
My favorite video of yours so far, thank you!
Andreas, you are amazing, always with the best explanations. Thanks for your massive effort to make Bitcoin, the tech behind and the principles, easy to understand. The crypto community owes you a lot.
My issue with this is no matter how slim the chance is, it’s still security through obscurity. A private key should be compared to generating a username, not the password. In that sense, a centralized entity will always have the upper hand due to simply being able to tell you “that username already exists”. Although there are a slew of other problems with central authorities, this is one that simply doesn’t exist for them (all things being equal).
It really feels like a practical (hybrid) approach should be taken when considering how keys are generated for your blockchain even though this is looked down upon as not being fully decentralized. That sounds all fine and well until someone happens to get the same seed/private key as you without being nefarious, and there are no protections against it.
Your post proves once more that humans can't comprehend these numbers. Rather worry about being struck by lightning.
Great way to explain that. Throw in Ledgers and Trezors Passphrase feature and the number becomes more than all the atoms in every possible parallel universe and dimension. Cheers.
This is magisterial, and way beyond funnier than expected! Thank you so much!
Shoulda went 2 to the 257 just make sure😝
Let’s round it to 260 to Be on the safe side...
Imma goin with 2 to the 3072 (RSA).
Awesome! Thank you, Andreas for this fascinating content. 👍👍
I've got a good one. I did the math on this and this is what I found; Trying to guess a private key, say you could try a key every second and everyone on the planet is too. It would take 75% longer than the universe has existed for someone to guess it. This is assuming of course the are no duplicate guesses.
@@TheHorrorsPersistButSoDoI Yeah except it's a 1,000,000,000,000,00,000,000...198 more zeros to 1 chance.
Wow! Mind-blowing! Thank you so much for the explanation!
Amazing video! Ever since learning about the wonders of Bitcoin I had this itching question, hearing the answer every time just blows my mind again and again.
This is an amazing video that makes my head spin 10 to the 77. Thanks for the simple explanation! You rock, I mean you grain of sand!
This was the most helpful video in my understanding and appreciation of bitcoin
....so you're telling me there's a chance
It was a very similar video many years ago that first attracted me to Bitcoin. Hope this one attracts lots of new Bitcoiners. Very well described as usual Andreas.
Would love a follow up with quantum computing. I know you've done some in the past but perhaps one at this basic level of guessing numbers.
Enjoyed this lighthearted program. Please do more! 🤣
I heard the sand perspective before (on all of earth) and I thought that was a lot, but didn't realize that was FARRRRR from the real "visual" of the question. Thank you!
I think you underestimated the amount of sand on Tatooine
THIS!
Nicolas has spoken.
Nop
You mean Arrakis .
@@txtpeer5179 I meant Tatooine. However I am happy to concede if you have numbers to back up that Arrakis has orders of magnitude more sand than Tatooine
This is why you should create a "passphrase" for your hardware wallet.
Thank you
One thing is there is almost infinite number of keys available but another thing is the possibility of the algorithm in charge of generating a key generates twice the same key. i’m not saying it’s very possible but i think the algorithm in charge is very important, must not be poorly designed. In tekken 7 (a fighting video game) when you select a random stage most of the time the same stage appears lol
very cool explanation
Huge lesson. thanks for existing Andreas
Just to make sure I understood this correctly... 10 to the 77 is a pretty small number right?
Carl Sagan would like this
Amazing. I didn’t realize the enormity of the possible numbers.
Thanks to you my friend. I understood BTC when I 1st started researching years ago. I’m now jobless, but I don’t care. BTC has been taking good care of my family.
Thank you so much! I've been trying to work out how private keys can be unique forever (unique forever, not that I've been wondering forever).
That was cool, Thanx. got a subscriber!
truly nerdy yet very very cool thought experiment
Out the blue this question came to my mind. Exclent explanation.
Little “X” symbol!!!! Love it
So brilliantly explained it had me grinning the whole time. Thank you Andreas for sharing your unequaled clarity of thinking and explaining!!
2^256 = around 10^77.
I followed until 10^52 and I shouted "come on, I don't believe you!".... but I just realized we just do the math here, nothing to believe or not. It just is.
Thanks Andreas, I enjoyed the mental ride through the Universe.
That was a fascinating way of putting it!
My favorite bitcoin Sheldon Cooper. But seriously, very educational as always.
Love the complaint tool you built into your site!!! lol
Glad you like it - LOL. I'm always surprised at how many people complain about free content. Happy you share my sense of humour.
Thanks for the analysis! I have a quick question: I have a SafePal wallet with USDT, and I have the seed phrase. (alarm fetch churn bridge exercise tape speak race clerk couch crater letter). How can I transfer them to Binance?
Crypto, physics and astronomy. Im all ears Mr antonopolous
So... you are telling me that I have a chance to pick right? Yay ;-)
Thanks, GREAT video!
Brilliantly explained, as always 👏🏻
And Multisig multiplies all of that by 3. (or 5 or whatever your multisig is)
It's fascinating!
Why I haven't learned this in the school and instead have to look for such interesting things in my 40s 🤦🏻♂️
School teaches you math and other subjects just enough so you can do the jobs they need, never to empower you with real inspirational knowledge and skills.
@@zonnovate8809 Thanks to school, "Satoshi Nakamoto" knew the math to create Bitcoin
@@tradersendeavors School is one body of information, but not the only one can become educated. Who knows if he learnt the math he used to create Bitcoin from school or from other means like books.
I’m not against school because it has many positives, being a medium from which you can learn and form an education, but there is a also a negative side to school just like everything in life has.
You can’t forget that school is ultimately a business, a business with interests that might not align with yours. For instance it may be more profitable for school to produce students who will become workers rather then inventors, thinkers, creatives, thus they are disincentivised to develop that entrepreneurial side is student who align more to that.
This is one example. It doesn’t apply to everyone, but I certainly felt school didn’t develop me in the ways I wanted and the ways I was most strongest at, I always saw it as meaningless and surface-level means to get a degree, to then work for a company. I dropped out of high-school and became a successful entrepreneur. I remember in business studies we learnt nothing whereas now me running my own business, actually learning practically, not just sitting in a classroom, it’s a whole new world.
Complain by using the X in the top right corner. Brilliant!!
You are a gem thanks for teaching us what you know.
Brilliant....i dont feel so old now...its just numbers...😎
Thanks Andreas.
Ok - convincing. But what if the random generator in a ledger hardware wallet, which creates seeds tends to generate certain seeds, because it is not able to generate each numbers with the same probability. Is this completely studied?
This was really cool
Absolutely amazing
This is to get your family/friends off the lottery. Tell them about Satoshi's wallet and that there is a 1 in 2**256 chance they will gain access when they create a new seed.
This is an amazing video, I've been thinking about the chances of it and now I know it's very very tiny chance but still there is a chance of getting someone private key especially the whole thing is a random process, maybe not now , not in a ten years but there is a mistake gonna happen
The crazy fact that I own one atom in the universe with some bitcoin stashed inside it. Try to find it guys !
Can we update to sha 512 or more secure algorithm in future?
What are the merits and demerits of that
The problem with upgrading to 512 is then you're adding double the amount of data to the blockchain everywhere we currently use hashes - transaction ID's, addresses (which are hashes of public keys), block hashes, etc. You'd have to update every single miner on the network to use new specialized hardware for SHA-512 instead of SHA-256.
Private keys -> Public keys use ECDSA (Elliptic Curve Digital Signature Algorithm) rather than hashes - so if we went to some 512 bit ECDSA algorithm you'd also be introducing additional data for users to deal with (they'd have to update their seeds potentially, etc.)
Not that this couldn't be done for an actual necessary reason (such as the current ECDSA or SHA being broken by cryptographers) - but the benefits of moving to 512 bits just aren't necessary. SHA-256 and secp256k1 are both considered to be very secure standards as far as we know.
chaintuts thank you
Just gone to a trip. This sh-tss so alien. Beautiful
If they guess your keys then get them to guess the winning lottery numbers. It's much easier to do.
A question from my side about numbers...how big of a chance is it, to find a Hash mining Bitcoin with a Raspberry Pi or the old USB Miner? You could be lucky to guess the right Hash, because It's like a lottery, correct?
You're doing a fantastic job! Could you help me with something unrelated: My OKX wallet holds some USDT, and I have the seed phrase. (air carpet target dish off jeans toilet sweet piano spoil fruit essay). How should I go about transferring them to Binance?
All of that math made me leave my body.
So helpful! Thanks for your work and clear thinking!
Interesting. So would I be correct to say that, if you had an industrial size super computer in Nigeria that was crunching out hundreds of trillions of random private keys every nanosecond, this machine would ultimately steal someone's bitcoin at some point. It would be like mining for diamonds, where you crash hundreds of tons of rock for that tiny precious diamond?
Loved that explanation!!
Saw this live, but seeing again because it is awesome
I get that 10 to the 77 is an unimaginably impressive number, but we do have super computers. What would happen if the most powerful supercomputer in the world were to identify all private keys, and then just cross-reference those that have a balance over 100,000$.. How long would that take, and is it even feasible?
If you had access to a super computer capable of checking 1 Trillion ( 10^9 ) per second, it would do 10^10 in 10 seconds, 10^11 in 100 seconds, 10^12 in 1000 (10^3) seconds, 10^13 in 10^4 seconds, 10^14 in 10^5 seconds .... that's 100,000 seconds or 1.15 days... let's just round that to one day ... 10^15 would take 10 days, 10^16 = 100 days, 10^17 = 1000 days, lets call that 3 years... 10^18 = 30 years, 10^19 = 300 years.... after this the numbers really start to get quite silly, and you have still checked way way less than 0.01% of the total available.
👁️👄👁️
During my teaching. The world population has 2^33. 77 is just a number that we not able to visualize.
I GOT IT... & MY MIND IS BLOWN!!!🤯
Brilliant! And who created all this, I'm humbled.
absolutely amazing thank you so much for putting it into perspective
A wonderful explanation. Thank you.
My brain: Can we go back to bed now?
“Alright, let’s take all of the galaxies,
*F U C K I T* ”
it just keeps closing my browser? help? which browser are you using?
Possible positions in the Game of Go - 10 ^ 180. So all the atoms in the Universe, with each atom having a Universe of atoms inside it (10 ^ 154) plus change ;)
I can't find the X in my youtube app store thing
By time:
If you consider the age of the universe: 13,8 B years ~ 10^17 seconds.
Someone (maybe all computers on earth) brute forcing 1 sextillion (10^21) times per second.
They would still need some 10^39 (a billion quadrillion quadrillions) times the age of the universe to guess a seed.
So you're saying it can still be done, right?
It can be done, but should take some time. Not only more than a human life, but also more than the Earth and Sun lifetime. Most probably more than the lifetime of all present and future stars.
That was awesome 🧡
Can we reduce that number if we assume that ledger and some well known walletes use similar words to combine this number wich as i understand we use English worlds generet this numbers that means that this number are limited used not in fully capacity im i correct, sorry for my bad English
Is that the same analogy to ronin wallet? Coz when I created my first ronin wallet, the system gave me 1 with lots of asset on it. I'll be honest I try to steal it but I think he is using a trezor.
Dude!!! You make calculations so scary.
🆘 How can know these hardware card like cold card are really creating seed phrase that is unknown to them?
how can one very elsewhere that dice rolls o the cards comes up with with same result seed phrase ? need to know how cross verify that nothing untold is going on here ?
thanks
How does it relate to the 24 seed words that restore the private key? It is the same probability to guess a correct combination of 24 seed words?
each word of the list is among 2048 in the list . Then you do 2048 x 2048 x 2048 ...... up to 24 times ; It will give 10 exp 77 . You can check with a hand calculator . Easily
@@lucas1527 thanks
what if someone randomly restores a device with 24 random words from the official list.......and they restore someone else's random cold wallet?......not a specific one.....just some random wallet somewhere?
I feel smarter now
This was fascinating. Thank you
Fascinating. What about the ratio between the amount of private keys that can be generated in a given unit of time compared to the total amount of possible private keys. Can that be realistically estimated?
Most people use addresses which are 160 bit hashes of public keys. To spend those coins I don't need to know their private key. Any private key whose public key hashes to the same address will do. So I "only" have to search 2^160 = 10^48 = less than one galaxy's worth of silica atoms to steal their money, not the whole universe.
Well ya
Good deal
Now it will take only 500 years to do it
Lol.. special complaint mechanism 🤣😂
Very cool.
What about quantum computing, coming soon?
Which is your opinion about nash exchage. It is a non custodial exchage
Its so unlikely that someone guesses your private key, that even thinking about that is a waste of energy. As long as your private key was derived from a seed phrase wich was at least 12 words long or better 24. Andreas give us an update on quantum cryptography, memorizing ever longer getting seed phrases annoys your fan base.
I think Andreas Antonopoulos' brain is a supercomputer if not quantum.
Where in on the 256 bit number do you get the two to the power of 256? Where did the two come from?
There are 2048 seed words.
2048 = 2^11
So, each word is 1 in 2^11
In a 24 word wallet, the first 23 are random. The last is a checksum.
I won't explain why, but the last word is only 1 in 8 (1 in 2^3)
Doing the math: number of possibilities are (2^11)^23 multiplied by 2^3.
This is (2^253)*(2^3), or 2^256.
Then why is quantum computing a security issue for crypto? How fast can a quantum computer pick the silica molecule from all the sand in the world?
What a trip!