The U.S. Just Reclaimed the World's Fastest Supercomputer Mantle From China
The system, according to the department’s announcement, is rated to perform 200,000 trillion calculations per second, or 200 petaflops. Thats Double the speed of the Sunway TaihuLight of china.
in just a short period of time, United state double the speed of the world fastest super computer in the world. i cant imagine how far our technology can reach.
a micro sd from 128 mb to 128G
So what if, in the next couple of years. Super computers will be created which is x1000000 the speed of the fastest computer now. That can compute and extract privatekeys. Will it break the bitcoin?
Heres the computation of a random guy in the internet.
Here is a private key in hexadecimal - 256 bits in hexadecimal is 32 bytes, or 64 characters in the range 0-9 or A-F.
E9873D79C6D87DC0FB6A5778633389F4453213303DA61F20BD67FC233AA33262
This private key does not exist by the way.
So you see, there are 64 characters, and each character is hexadecimal (can hold 16 different case insensitive values: {0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F} ), meaning there are 1664 possible private key combinations.
Now let’s go big.
The current world population is roughly 7.6 billion. Assume everyone holds a wallet (meaning 7,600,000,000 private keys).
Even with this imaginary best case scenario, the success rate of randomly guessing a private key correctly is:
100⋅7,600,000,0001664=0.0000000000000000000000000000000000000000000000000000000000000000065634881018717779152936274157283036740481602769715738%
So even if you had the computing power of Sunway TaihuLight (a Chinese supercomputer which, as of November 2016, is ranked number one in the list as the fastest supercomputer in the world), which is about 9.3⋅1016=93,000,000,000,000,000 floating point operations per second (flops), then giving there are 86,400 seconds a day and about 365 days a year, and (falsely) assuming it takes 1 flop to generate a private key and 0 time to check for its correctness, then a correct guess would probably occur once every-
1365⋅(16647,600,000,000)(86400⋅(9.3⋅1016))= 5194882658574989737995779322992527357514014.0710380707
years.
This is a-
5194882658574989737995779322992527357514014.071038070713,800,000,000=376440772360506502753317342245835.31576188507761145439
times the existence of our universe (the big bang took place approximately 13.8 billion years ago).