A simple explanation of how prime numbers are used in Public Key Cryptography from ABC1 science program Catalyst

Views: 64387
Simon Pampena

Today we use Python to identify prime numbers. This is important in cryptography and number theory. While it’s simple to make the function work, it’s hard to make it FAST. We’ll profile the function and look at several ways to improve the speed of our algorithm.
Our Patrons on Patreon help us make our videos! We'd like to recognize our VIP Patron Vishal Shah whose generosity has made such a big difference for our channel. Thank you, Vishal!
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The Mythical Man Month - Essays on Software Engineering & Project Management
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Python instructor: Ulka Simone Mohanty (@ulkam on Twitter)
Written & Produced by Michael Harrison (@mlh496 on Twitter)

Views: 75465
Socratica

Back to School Special. This short series will discuss pseudo random number generators (PRNGs), look at how they work, some algorithms for PRNGs, and how they are used.
Support Coding Math: http://patreon.com/codingmath
Source Code: https://jsbin.com/nifutup/1/edit?js,output
Earlier Source Code: http://github.com/bit101/codingmath

Views: 28611
Coding Math

THis is a really basic tutorial for getting prime numbers in java using a simple method with for loops. This will be fine for your homework since it doesn't have the "best permormance" but it'll work just fine.
__________________
Thank you for watching this video, if you like it please don't forget to like it,
or subscribe to my channel for more programming tutorials
---
also visit my website for more content
http://betacoding.net

Views: 125885
betacoding

This video is about 2 prime number generators. One of them is in C++ and the other one in Java.
They accurately generate true prime numbers.
If you have any suggestions for another generating algorithm or anything else, leave them in the comments below.
Like and subscribe if you want to see more!
Source Code:
▶C++
https://github.com/R-e-t-u-r-n-N-u-l-l/Prime-Numbers/blob/master/PrimeNumbers.cpp
▶Java
https://github.com/R-e-t-u-r-n-N-u-l-l/Prime-Numbers/blob/master/PrimeNumbers.java
Music:
▶ Randomly created by us
Social media:
▶ Github: https://github.com/R-e-t-u-r-n-N-u-l-l

Views: 161
Return Null

RSA Public Key Encryption Algorithm (cryptography). How & why it works. Introduces Euler's Theorem, Euler's Phi function, prime factorization, modular exponentiation & time complexity.
Link to factoring graph: http://www.khanacademy.org/labs/explorations/time-complexity

Views: 582479
Art of the Problem

Want a tutorial or video on a specific topic? Just comment below and I'll get back to you within 24 hours. :) Thanks!
Revision: line 12 - Math.floor(Math.sqrt(i)) + 1) (needed to add 1)
Don't forget to like, subscribe, and leave a comment!

Views: 163
AxiomaticUncertainty

RSA is an algorithm used by modern computers to encrypt and decrypt messages. Modern ecnryption is mostly based on this algorithm.
It is an asymmetric cryptographic algorithm.
Asymmetric means that there are two different keys. This is also called public key cryptography, because one of the keys can be given to anyone. The other key must be kept private.
The algorithm is based on the fact that finding the factors of a large composite number is difficult: when the integers are prime numbers, the problem is called prime factorization. It is also a key pair (public and private key) generator.
Website - http://dprogrammer.org
Patreon - https://www.patreon.com/dani2442
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Social Media:
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Views: 393
dProgrammer lopez

This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.

Views: 3653
Udacity

An attempt at an optimal trial division primality test using the Sieve of Eratosthenes.
Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/comp-number-theory/v/prime-number-theorem-the-density-of-primes?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience
Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/cryptography/comp-number-theory/v/sieve-of-eratosthenes-prime-adventure-part-4?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience
Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information).
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Views: 15425
Khan Academy Labs

Dear All,
This video is a little demo about some programs i have written in Javascript after i have seen a beautifull video on youtube:
A Pattern in Prime Numbers?
( https://www.youtube.com/watch?v=Jhp_XFMvHDA&t=31s )
I have found the function to find prime numbers at this page:
http://www.batmath.it/js/primo/primo.htm
And then i have adapted this function to display prime numbers and also twin prime numbers graphically on a canvas, thanks to JavaScript.
The microtonal music has been composed by my father, Giuseppe Guardiani (28-12-1933 - 12-12-2015) with the microtonal software PYMMusic.
I hope that you like this demo.
If you are interested, i can send you the link to the little programs written in JavaScript.
Many Greetings!
Paolo Maria Guardiani

Views: 80
Pymmusic

Use the Sieve of Erastothenes to generate prime numbers in the fastest way possible. Source code available at: http://robinsonprogramming.com/tuts/download.php?page=downloads_java_$_prime_numbers.zip

Views: 3803
RobinsonProgramming.com

Previous video: https://youtu.be/6ro3z2pTiqI
Next video: https://youtu.be/KuthrX4G1ss

Views: 4714
Leandro Junes

SIEVE OF ERATOSTHENES
This is one of the most efficient algorithm to find all prime numbers smaller than N .
TIME COMPLEXITY :
AVERAGE CASE : O(N)
WORST CASE : O(N)
where N is the number limit .
Ex : I/P : n = 10
O/P : 2 3 5 7
**PROCEDURE**
- Create a list / array of consecutive integers ( 2 to n )
- Initially , set p =2 , i.e a first prime number
- Starting from p^2 , count up in increments of p and mark each of these numbers greater than or equal to p^2 . These numbers will be p(p+1) , p(p+2) ……
- Find first number greater than p , that is not marked , if there was no such number , then stop .
- After algo. is completed , the numbers that are marked as true are prime numbers .
** CODE **
# SIEVE OF ERATOSTHENES
def soe(n):
lists=[]
lists=[True for i in range(n+1)]
p=2
while(p*p(=n): # use greater than Symbol
if(lists[p]==True):
for k in range(p*p,n+1,p):
lists[k]=False
p+=1
for p in range(2,n+1):
if(lists[p]):
print(str(p)+" ",end='')
print("SEIVE OF ERATOSTHENES ")
print("COMPLEXITY : O(N) // APPROX ")
print(" PRIME NUMBERS UPTO 100 ARE")
soe(100)
Practice : http://www.codeofgeeks.com/cp24
LIKE | SHARE | SUBSCRIBE

Views: 70
CODE OF GEEKS

RSA being a public key crypto-system has two keys, the Public key and the Private key. The Encryption is done using one and the decryption is done using the other. Normally, the encryption is done using the Public key and the decryption is done using the Private key. The RSA modulus (explained below) length is called the key length of the cipher. The currently largest factored prime number had 768 bit. As the security of RSA depends on the factoring problem, using a modulus of 1024 bits is a bare minimum. It is recommended to use at least 2048 bits for good security. 4096 bit is pretty much unbreakable, anything beyond 4096 bits is over the top and would also be painfully slow. #selfhostwcf, #p2pnetworkprogramming,#netcorecommerce

Views: 3400
Freelance Web Developments

Sieve of Eratosthenes allows us to generate a list of primes.
Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/comp-number-theory/v/trial-division-primality-test-using-a-sieve-prime-adventure-part-5?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience
Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/cryptography/comp-number-theory/v/algorithmic-efficiency?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience
Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information).
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Views: 53748
Khan Academy Labs

In statistics, if we roll a six-sided die X amount of times, the number of times each face will appear becomes more equal as X approaches infinity.
In this lesson, we use the Secure Random Number Class to generator a random number between one and three and prove the statistic to be true using a for loop.

Views: 317
TDG Industries

This video reviews a prime number tester and value set generator that uses optimized testing methods and .AsParallel() to accelerate results. :)
Here's the original code:
https://gist.github.com/electricessence/846cd4483dcaa073020edaafe3572a78
Here's the updated released library:
https://github.com/electricessence/Open.Numeric.Primes/tree/master

Views: 312
Code Evolution

We discuss various prime number sieves such as the Sieve of Eranthoses, to find all primes from 1 to N.
We then talk about a segmented sieve approach, and discuss the time complexity for finding primes in a given range.
Code:
https://github.com/gkcs/ChainReaction/blob/master/src/main/java/main/java/videos/PrimeNumberSieve.java
References:
https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes

Views: 11315
Gaurav Sen

We make our first C Program to calculate prime numbers

Views: 20
Oliver Marsh

A brief description of booleans including the comparison operations and !. Does not include && nor ||. I write a program that generates random numbers and checks primality. I rambled a litte on this one; sorry.

Views: 642
Brandon Grasley

Prime factorization - A classic problem in computer science! Today, we'll look at how to approach this problem, and we'll see pitfalls and issues with it!
= Download the Code =
https://drive.google.com/open?id=1_zehF2Rik0ajfwq024q408j2bcImMJLa
= Contents Page =
00:37 Contents Page
01:29 What are primes / what is factorization
03:44 Primes and Factorization in computing
06:04 Discussion: How to test if a number is prime
07:38 Coding: Prime Testing Function
09:50 Testing: Prime Testing Function
10:29 Discussion: Prime Factorization Technique
12:32 Coding: Prime Factorization
15:30 Testing: Prime Factorization Code
16:03 Performance Pitfalls of Method
16:56 Coding: Adding code to track timing
19:27 Discussions: How to improve prime testing performance
23:09 Coding: Writing our optimizations
25:22 Testing: Optimized Code
25:41 Demonstration of extended code
28:02 Conclusion
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0612 TV, a sub-project of NERDfirst.net, is an educational YouTube channel. Started in 2008, we have now covered a wide range of topics, from areas such as Programming, Algorithms and Computing Theories, Computer Graphics, Photography, and Specialized Guides for using software such as FFMPEG, Deshaker, GIMP and more!
Enjoy your stay, and don't hesitate to drop me a comment or a personal message to my inbox =) If you like my work, don't forget to subscribe!
Like what you see? Buy me a coffee → http://www.nerdfirst.net/donate/
0612 TV Official Writeup: http://nerdfirst.net/0612tv
More about me: http://about.me/lcc0612
Official Twitter: http://twitter.com/0612tv
= NERDfirst =
NERDfirst is a project allowing me to go above and beyond YouTube videos into areas like app and game development. It will also contain the official 0612 TV blog and other resources.
Watch this space, and keep your eyes peeled on this channel for more updates! http://nerdfirst.net/
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Disclaimer: Please note that any information is provided on this channel in good faith, but I cannot guarantee 100% accuracy / correctness on all content. Contributors to this channel are not to be held responsible for any possible outcomes from your use of the information.

Views: 1951
0612 TV w/ NERDfirst

#rsa #deffiehellman #cryptographylectures #lastmomenttuitions
Take the Full Course of Cryptography and Network Security
What we Provide
1) 20 Videos (Index is given down) + More Update will be Coming Before final exams
2)Hand made Notes with problems for your to practice
3)Strategy to Score Good Marks in Cryptography and Network Scurity
To buy the course click
https://goo.gl/mpbaK3
if you have any query email us at
[email protected]
Sample Notes : https://goo.gl/Ze1FpX
or Fill the form we will contact you
https://goo.gl/forms/2SO5NAhqFnjOiWvi2
Cryptography and System Security Index
Lecture 1 Introduction to Cryptography and Security System
Lecture 2 Security Goals and Mechanism
Lecture 3 Symmetric Cipher
Lecture 4 Substitution Cipher
Lecture 5 Transposition Cipher
Lecture 6 Stream and Block Cipher
Lecture 7 Mono Alphabetic Cipher
Lecture 8 Poly Alphabetic Cipher
Lecture 9 Diffie Hellman
Lecture 10 RSA Algorithm with Solved Example
Lecture 11 IDEA Algorithm Full Working
Lecture 12 SHA-1 Algorithm Full Working
Lecture 13 Blowfish Algorithm Full working
Lecture 14 DES Algorithm Full Working
Lecture 15 Confusion and Diffusion
Lecture 16 AES Algorithm Full working
Lecture 17 Kerberos
Lecture 18 Malicious Software ( Virus and worms )
Lecture 19 DOS and DDOS Attack
Lecture 20 Digital Signature Full working Explained
More videos Coming Soon.

Views: 317203
Last moment tuitions

https://www.hacktivity.com
Random numbers are very important in many fields of computer science, especially in cryptography. One of the most important usages of pseudorandom number generators (PRNG) are is key generation methods for cryptographic purposes. In this presentation a modification of the prime generation method of the OpenSSL library will be presented. The modified version of the library passes every well-known statistical tests (e.g NIST test, DIEHARD test), however while an adversary is still able to reconstruct the prime numbers (P,Q) from the public key. The method can be used for malicious purposes as a sophisticated backdoor.
The presented research is based on the theory of kleptography and a recently published research paper.

Views: 219
hacktivity

Generate Prime Numbers Example in java

Views: 109
TopicToJava

what is the Prime numbers : https://en.wikipedia.org/wiki/Prime_number
- Stackoverflow solutions for this problem : https://stackoverflow.com/questions/5200879/printing-prime-numbers-from-1-through-100

Views: 342
Ibrahim Fares

Link to code:
https://goo.gl/RtLPmo
This is a video on Python programming about Prime Number Checker program "Primecheck.py" from series mY pYTHON pROGRAMS.
This series is intended to share my coding experience in Python.
Algorithm used::Eratosthenes/Segmented Sieve
Check this page on Wikipedia for more Information On algorithm
https://goo.gl/Y6Mw1J
What is Prime Number?
A prime number is a positive integer that has exactly two factors, 1 and the number itself
What is Python?
Python is a widely used high-level programming language for general-purpose programming, created by Guido van Rossum and first released in 1991. An interpreted language, Python has a design philosophy which emphasizes code readability (notably using whitespace indentation to delimit code blocks rather than curly braces or keywords), and a syntax which allows programmers to express concepts in fewer lines of code than possible in languages such as C++ or Java. The language provides constructs intended to enable writing clear programs on both a small and large scale
OS:LINUX
Text-Editor:::Gedit/Sublime-Text
Thank You for watching
Good luck in Learning Python
You have full right to use the codes and projects.
Please Subscribe the Channel

Views: 239
the BIT Learner

Create a web page that finds prime numbers the fastest way possible using the sieve of Erastothenes algorithm.
Source code is available at http://robinsonprogramming.com/tuts/download.php?page=downloads_javascript_$_prime_numbers.zip
http://www.RobinsonProgramming.com

Views: 4023
RobinsonProgramming.com

Implementation of eratosthenes prime numbers algorithm

Views: 2391
Eder Sayd

This video covers the more advanced, high-speed prime generation technique known as the Sieve method.
If you like the video, please don't forget to like, comment, and subscribe to my channel for more videos! If you have a request, feel free to post it in the comments below and I will respond within 24 hours. :)

Views: 3501
AxiomaticUncertainty

Algorithm problem with testing 2 for primeness; refining the list of divisors with square root instead of Number-1; program speed.

Views: 6867
profneilwalker

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi
What is a the difference between a random and a pseudorandom number? And what can pseudo random numbers allow us to do that random numbers can't?
Tweet at us! @pbsinfinite
Facebook: facebook.com/pbsinfinite series
Email us! pbsinfiniteseries [at] gmail [dot] com
Previous Episode
How many Cops to catch a Robber? | Infinite Series
https://www.youtube.com/watch?v=fXvN-pF76-E
Computers need to have access to random numbers. They’re used to encrypt information, deal cards in your game of virtual solitaire, simulate unknown variables -- like in weather prediction and airplane scheduling, and so much more. But How can a computer possibly produce a random number?
Written and Hosted by Kelsey Houston-Edwards
Produced by Rusty Ward
Graphics by Ray Lux
Assistant Editing and Sound Design by Mike Petrow
Made by Kornhaber Brown (www.kornhaberbrown.com)
Special Thanks to Alex Townsend
Big thanks to Matthew O'Connor and Yana Chernobilsky who are supporting us on Patreon at the Identity level!
And thanks to Nicholas Rose and Mauricio Pacheco who are supporting us at the Lemma level!

Views: 126526
PBS Infinite Series

===================================================
Get the code from here:
https://gum.co/vefiy
===================================================
This code implements RSA encryption algorithm in matlab which depend on generating very large prime numbers (there is an implemented function to generate the prime numbers randomely), these numbere are used as encryption and decryption keys using the RSA algorithm for encryption and by seperating keys as private and public as explained in the video.
The code takes a text file as an input and use the content as the message to be encrypted and then the sent encrypted message along with its decryption is printed.
Author: Ahmed Abu Bakr
Contact me:
email: [email protected]
List of all my codes: https://gumroad.com/ahmedsaleh
===================================================
Hire me directly on freelancer:
https://www.freelancer.com/u/AhmedSobhiSaleh
===================================================

Views: 1414
Ahmed Saleh

EECE 412 Network Security Group 15:
Joey Liu, Leon Yu, Aobo Yu, Braulio Chavez
Song used: Bei Bei Shawn Lee - Little Sunrise
Program used: Sony Vegas 10
Here's our website:
http://randomtester.herokuapp.com/team

Views: 354
Joey Liu

in.this video basic concept of rsa is explain with example.
Tips-
to remember public key formula u can use keyword pen i.e public key (e,n)
for selecting e go with smallest prime number ....

Views: 79
Berozgar engineer

Hello everyone, this is the second Python Project video. Here, we make a script to generate prime numbers! It's easy to make, and only took me around 10-15 minutes.
Thanks for watching, remember to subscribe, and, as promised, here is the link for the full code: https://docs.google.com/document/d/1E1FH8fzSeAClxnswMAzzfh0jk9NQGJowB4S5sbsf42s/edit?usp=sharing

Views: 289
Learn2Python Videos

Previous video: https://youtu.be/FhrsUCICh-Y
Next video: https://youtu.be/KnHp1uSm6k0

Views: 496
Leandro Junes

Pseudorandom number generators are explained using John Von Neumann's middle squares method. Machines can't roll dice so they do a trick to generate randomness - they grow randomness. The middle squares method is explained from a computer science perspective using clocks as seeds. This is a clip from Art of the Problem episode #1. This clip features original music from Hannah Addario-Berry

Views: 40287
Art of the Problem

Twenty minute introduction to randomness and pseudorandom number generators, with demos. The New Mexico CS for All project is teaching computational thinking and programming.
Production supported by the National Science Foundation, award # CNS 1240992

Views: 28152
Dave Ackley

We walk through implementing (in Java + Eclipse) a sieve or Eratosthenes for finding prime numbers less than a given number N. See the accompanying post at http://techliterate.org/cstream/2013/4/30/seive-of-eratosthenes

Views: 15736
TechLiterate

Loops: Problem 6
To download tutorial programs & for our complete tutorials visit: http://www.antf.net

Views: 848
Dr. ANTF

Some of the most widely used cryptographic protocols, including TLS, depend on fast execution of modular big-number arithmetic. Cryptographic primitives are coded by an elite set of implementation experts, and most programmers are shocked to learn that performance-competitive implementations are rewritten from scratch for each new prime-number modulus and each significantly different hardware architecture. In the Fiat Cryptography project, we show for the first time that an automatic compiler can produce this modulus-specialized code, via formalized versions of the number-theoretic optimizations that had previously only been applied by hand. Through experiments for a wide range of moduli, compiled for 64-bit x86 and 32-bit ARM processors, we demonstrate typical speedups vs. an off-the-shelf big-integer library in the neighborhood of 5X, sometimes going up to 10X. As a bonus, our compiler is implemented in the Coq proof assistant and generates proofs of functional correctness. These combined benefits of rigorous correctness/security guarantees and labor-saving were enough to convince the Google Chrome team to adopt our compiler for parts of their TLS implementation in the BoringSSL library. The project is joint work with Andres Erbsen, Jade Philipoom, Jason Gross, and Robert Sloan.
See more at https://www.microsoft.com/en-us/research/video/fiat-cryptography-automatic-correct-by-construction-generation-of-low-level-cryptographic-code/

Views: 1171
Microsoft Research

This video is for testing if a number is prime using simple few lines of codes in Python. To recall, Prime numbers are those numbers which are only exactly divisible (with reminder 0) by 1 and number itself. Thank you for watching !!

Views: 120
The Python Geek

Random number most often is the requirement for programmers for some sort of randomization or security purpose.
Different classes available to generate Random number,
How to use java.lang.Math.random() and java.util.Random classes to generate random number.
How to generate random number between upper and lower limit.
java.security.SecureRandom is mostly used in cryptography.

Views: 536
Java Mitra

Decimology ~ Prime Pattern Perfect Squares
Albert Renshaw
http://www.decimology.com/

Views: 179
Orange Gold

The history behind public key cryptography & the Diffie-Hellman key exchange algorithm.
We also have a video on RSA here: https://www.youtube.com/watch?v=wXB-V_Keiu8

Views: 640843
Art of the Problem