video thumbnail 5:06
How secure is 256 bit security?

2017-07-08

[public] 2.06M views, 107K likes, 770 dislikes audio only

channel thumb3Blue1Brown

How hard is it to find a 256-bit hash just by guessing and checking?

Help fund future projects: https://www.patreon.com/3blue1brown

An equally valuable form of support is to simply share some of the videos.

Home page: https://www.3blue1brown.com/

Several people have commented about how 2^256 would be the maximum number of attempts, not the average. This depends on the thing being attempted. If it's guessing a private key, you are correct, but for something like guessing which input to a hash function gives the desired output (as in bitcoin mining, for example), which is the kind of thing I had in mind here, 2^256 would indeed be the average number of attempts needed, at least for a true cryptographic hash function. Think of rolling a die until you get a 6, how many rolls do you need to make, on average?

Music by Vince Rubinetti:

https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown

Thanks to these viewers for their contributions to translations

Dutch: @bvdeijzen

Hebrew: Omer Tuchfeld

Italian: retr00h

------------------

3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe, and click the bell to receive notifications (if you're into that).

If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended

Various social media stuffs:

Website: https://www.3blue1brown.com

Twitter: https://twitter.com/3Blue1Brown

Patreon: https://patreon.com/3blue1brown

Facebook: https://www.facebook.com/3blue1brown

Reddit: https://www.reddit.com/r/3Blue1Brown


But how does bitcoin actually work? by 3Blue1Brown
/youtube/video/bBC-nXj3Ng4
Q&A Questions • r/3Blue1Brown Ask questions here
http://www.3blue1brown.com/questions
3Blue1Brown 3Blue1Brown, by Grant Sanderson, is some combination of math and entertainment, depending on your disposition. The goal is for explanations to be driven by animations and for difficult problems to be made simple with changes in perspective. For more information, other projects, FAQs, and inquiries see the website: https://www.3blue1brown.com
/youtube/channel/UCYO_jab_esuFRV4b17AJtAw
Support on patreon patreon.com
https://www.patreon.com/3blue1brown
But what is a convolution? 1,256,339 views
/youtube/video/KuXjwB4LzSA
BBB #1: 3blue1brown Q&A 84,494 views
/youtube/video/8r5WKpK9-m8