- published: 04 May 2016
- views: 404714
A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example, 5 is prime because 1 and 5 are its only positive integer factors, whereas 6 is composite because it has the divisors 2 and 3 in addition to 1 and 6. The fundamental theorem of arithmetic establishes the central role of primes in number theory: any integer greater than 1 can be expressed as a product of primes that is unique up to ordering. The uniqueness in this theorem requires excluding 1 as a prime because one can include arbitrarily many instances of 1 in any factorization, e.g., 3, 1 · 3, 1 · 1 · 3, etc. are all valid factorizations of 3.
The property of being prime (or not) is called primality. A simple but slow method of verifying the primality of a given number n is known as trial division. It consists of testing whether n is a multiple of any integer between 2 and . Algorithms much more efficient than trial division have been devised to test the primality of large numbers. These include the Miller–Rabin primality test, which is fast but has a small probability of error, and the AKS primality test, which always produces the correct answer in polynomial time but is too slow to be practical. Particularly fast methods are available for numbers of special forms, such as Mersenne numbers. As of January 2016, the largest known prime number has 22,338,618 decimal digits.
Dr James Grime on a new discovery in the Prime Numbers. More links & stuff in full description below ↓↓↓ Audible: http://www.audible.com/numberphile More Prime: http://bit.ly/primevids More Grime: http://bit.ly/grimevideos Read the paper discussed in this video: http://arxiv.org/abs/1603.03720 Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels...
What does it mean to be a prime number? Let's progress though some whole numbers and ask ourselves if they meet the criteria. What is the criteria you ask? Watch. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/factors-multiples/prime_numbers/e/prime_numbers?utm_source=YT&utm;_medium=Desc&utm;_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/factors-multiples/prime_numbers/v/recognizing-prime-numbers?utm_source=YT&utm;_medium=Desc&utm;_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_and_factors/v/divisibility-intuition?utm_source=YT&utm;_medium=Desc&utm;_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't ...
Click here for the full version: http://vn2.me/zut Prime numbers aren't too hard to define, but they still puzzle professional mathematicians. Believe it or not, all over the word computers are chugging away, trying to find the next biggest prime! Bigger and bigger prime numbers help keep your credit card info safe through really cool encryption techniques. So prime numbers really matter every day, and you can learn how they are defined in this tutorial.
They're millions of digits long, and it takes an army of mathematicians and machines to hunt them down -- what's not to love about monster primes? Adam Spencer, comedian and lifelong math geek, shares his passion for these odd numbers, and for the mysterious magic of math. TEDTalks is a daily video podcast of the best talks and performances from the TED Conference, where the world's leading thinkers and doers give the talk of their lives in 18 minutes (or less). Look for talks on Technology, Entertainment and Design -- plus science, business, global issues, the arts and much more. Find closed captions and translated subtitles in many languages at http://www.ted.com/translate Follow TED news on Twitter: http://www.twitter.com/tednews Like TED on Facebook: https://www.facebook.com/TED Sub...
This talk was originally given to an audience of school students aged 16-17 as part of a mathematics enrichment event at the University of Cambridge. Recorded 19 June 2015. Prime numbers are fundamentally important in mathematics. Discover some of the beautiful properties of prime numbers in this talk by Dr Vicky Neale, and learn about some of the unsolved problems in number theory that mathematicians are working on today.
Is math real or simply something made up by mathematicians? You can’t physically touch a number yet using numbers we’re able to build skyscrapers and launch rockets into space. Mathematician Kelsey Houston-Edwards explains this perplexing dilemma and discusses the different viewpoints that philosophers and mathematicians have regarding the realism of mathematics. Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com Written and Hosted by Kelsey Houston-Edwards Produced by Rusty Ward Graphics by Ray Lux Made by Kornhaber Brown (www.kornhaberbrown.com)
Some extra footage from our James Maynard interview. More Maynard videos: http://bit.ly/JamesMaynard Prime Playlist: http://bit.ly/primevids NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Support us on Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ A run-down of Brady's channels: http://www.bradyharan.com Sign up for (occasional) emails: http://eepurl.com/YdjL9
Is 1 a prime number? Apparently not. Dr James Grime explains. More links & stuff in full description below ↓↓↓ James Grime's website is: http://singingbanana.com/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://teespring.com/stores/numberphile Other merchandise: https://store.dftba.com/collections/numberphile
Prime numbers, Ulam Spirals and other cool numbery stuff with Dr James Grime. More links & stuff in full description below ↓↓↓ James Clewett on spirals at: http://youtu.be/3K-12i0jclM And more to come soon... * subscribing to numberphile does not really change your physical appearance! And "golden line" in this context was made up by Brady! NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://ee...
How can we estimate the number of primes up to x? Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/comp-number-theory/v/time-space-tradeoff?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/trial-division-primality-test-using-a-sieve-prime-adventure-part-5?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 A...
A guide to finding prime numbers. VISIT MATHORMATHS.COM FOR MORE LIKE THIS! Follow me on www.twitter.com/mathormaths, and like www.facebook.com/mathmathsmathematics to stay up to date with tutorials and examination walk throughs. You can always request your own videos!
Purchase video on TeachersPayTeachers.com, http://bit.ly/12C3meO Free download of a Prime Numbers poster, http://bit.ly/17bjl0Y Purchase on iTunes. https://itunes.apple.com/au/album/pri... Stream the song on Spotify. http://t.co/tQptYvdy Purchase song on Amazon. http://amzn.to/Wr8KPL A catchy song that helps students learn the prime numbers from 1-100. Written by Tiffany King Song/Video by Kevin Barnhart Visit my online portfolio. http://www.kevinbarnhartdesign.com Lyrics: Prime…prime…prime, prime, prime I’m prime, P – R – I – M – E Only factors are 1 and me Factors that divide evenly 2, 3, 5, 7, 11 I’m prime, P – R – I – M – E Only factors are 1 and me Factors that divide evenly 13, 17, 19, 23, 29 I’m prime, P – R – I – M – E Only factors are 1 and me Factors that divide evenly 31...
Featuring Matt Parker... More links & stuff in full description below ↓↓↓ See part one at: https://youtu.be/tlpYjrbujG0 Part three on Numberphile2: https://youtu.be/jNXAMBvYe-Y Matt's interview with Curtis Cooper: https://youtu.be/q5ozBnrd5Zc The previous record: https://youtu.be/QSEKzFGpCQs Mersenne Numbers and Mersenne Primes: https://youtu.be/PLL0mo5rHhk More on Mersenne Primes: https://youtu.be/T0xKHwQH-4I GIMPS: http://www.mersenne.org Prime Playlist: http://bit.ly/primevids Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Scie...
The Prime Number Theorem shows that primes are like weeds, popping up everywhere! Dr James Grime explains --- Little bit extra cut from this video: http://youtu.be/TMRZYSQGAcw More links & stuff in full description below ↓↓↓ Our prime number video collection: http://bit.ly/primevids Follow James on Twitter at: https://twitter.com/jamesgrime NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eep...
Have you ever heard of Mills' Constant? Video supported by (& free book): http://www.audible.com/numberphile More links & stuff in full description below ↓↓↓ Several people have pointed out the n=4 prime is 2521008887 (we missed an 8) More on prime numbers: http://bit.ly/primevids This video features Dr James Grime - https://twitter.com/jamesgrime The Mills Proof is at: http://bit.ly/MillsProof NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyhar...
http://www.mathsisfun.com/prime-composite-number.html A Prime Number can be divided evenly only by 1 or itself. And it must be a whole number greater than 1
Audible: http://www.audible.com/numberphile (free trial) Dr James Grime discusses highly composite numbers. More links & stuff in full description below ↓↓↓ Continues and extra footage: https://youtu.be/PF2GtiApF3E Prime numbers (more videos): http://bit.ly/primevids http://www.antiprime.net Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels:...
A story of pi, prime numbers, and complex numbers, and how number theory braids them together. Check out Remix careers: https://www.remix.com/jobs The fact that only primes that are one above a multiple of four can be expressed as the sum of two squares is known as "Fermat's theorem on sums of two squares": https://goo.gl/EdhaN2 Special thanks to the following patrons: http://3b1b.co/leibniz-thanks ------------------ 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 about 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 s...
prime numbers explained
Dr James Grime on a new discovery in the Prime Numbers. More links & stuff in full description below ↓↓↓ Audible: http://www.audible.com/numberphile More Prime: http://bit.ly/primevids More Grime: http://bit.ly/grimevideos Read the paper discussed in this video: http://arxiv.org/abs/1603.03720 Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels...
What does it mean to be a prime number? Let's progress though some whole numbers and ask ourselves if they meet the criteria. What is the criteria you ask? Watch. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/factors-multiples/prime_numbers/e/prime_numbers?utm_source=YT&utm;_medium=Desc&utm;_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/factors-multiples/prime_numbers/v/recognizing-prime-numbers?utm_source=YT&utm;_medium=Desc&utm;_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_and_factors/v/divisibility-intuition?utm_source=YT&utm;_medium=Desc&utm;_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't ...
Click here for the full version: http://vn2.me/zut Prime numbers aren't too hard to define, but they still puzzle professional mathematicians. Believe it or not, all over the word computers are chugging away, trying to find the next biggest prime! Bigger and bigger prime numbers help keep your credit card info safe through really cool encryption techniques. So prime numbers really matter every day, and you can learn how they are defined in this tutorial.
They're millions of digits long, and it takes an army of mathematicians and machines to hunt them down -- what's not to love about monster primes? Adam Spencer, comedian and lifelong math geek, shares his passion for these odd numbers, and for the mysterious magic of math. TEDTalks is a daily video podcast of the best talks and performances from the TED Conference, where the world's leading thinkers and doers give the talk of their lives in 18 minutes (or less). Look for talks on Technology, Entertainment and Design -- plus science, business, global issues, the arts and much more. Find closed captions and translated subtitles in many languages at http://www.ted.com/translate Follow TED news on Twitter: http://www.twitter.com/tednews Like TED on Facebook: https://www.facebook.com/TED Sub...
This talk was originally given to an audience of school students aged 16-17 as part of a mathematics enrichment event at the University of Cambridge. Recorded 19 June 2015. Prime numbers are fundamentally important in mathematics. Discover some of the beautiful properties of prime numbers in this talk by Dr Vicky Neale, and learn about some of the unsolved problems in number theory that mathematicians are working on today.
Is math real or simply something made up by mathematicians? You can’t physically touch a number yet using numbers we’re able to build skyscrapers and launch rockets into space. Mathematician Kelsey Houston-Edwards explains this perplexing dilemma and discusses the different viewpoints that philosophers and mathematicians have regarding the realism of mathematics. Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com Written and Hosted by Kelsey Houston-Edwards Produced by Rusty Ward Graphics by Ray Lux Made by Kornhaber Brown (www.kornhaberbrown.com)
Some extra footage from our James Maynard interview. More Maynard videos: http://bit.ly/JamesMaynard Prime Playlist: http://bit.ly/primevids NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Support us on Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ A run-down of Brady's channels: http://www.bradyharan.com Sign up for (occasional) emails: http://eepurl.com/YdjL9
Is 1 a prime number? Apparently not. Dr James Grime explains. More links & stuff in full description below ↓↓↓ James Grime's website is: http://singingbanana.com/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://teespring.com/stores/numberphile Other merchandise: https://store.dftba.com/collections/numberphile
Prime numbers, Ulam Spirals and other cool numbery stuff with Dr James Grime. More links & stuff in full description below ↓↓↓ James Clewett on spirals at: http://youtu.be/3K-12i0jclM And more to come soon... * subscribing to numberphile does not really change your physical appearance! And "golden line" in this context was made up by Brady! NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://ee...
How can we estimate the number of primes up to x? Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/comp-number-theory/v/time-space-tradeoff?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/trial-division-primality-test-using-a-sieve-prime-adventure-part-5?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 A...
A guide to finding prime numbers. VISIT MATHORMATHS.COM FOR MORE LIKE THIS! Follow me on www.twitter.com/mathormaths, and like www.facebook.com/mathmathsmathematics to stay up to date with tutorials and examination walk throughs. You can always request your own videos!
Purchase video on TeachersPayTeachers.com, http://bit.ly/12C3meO Free download of a Prime Numbers poster, http://bit.ly/17bjl0Y Purchase on iTunes. https://itunes.apple.com/au/album/pri... Stream the song on Spotify. http://t.co/tQptYvdy Purchase song on Amazon. http://amzn.to/Wr8KPL A catchy song that helps students learn the prime numbers from 1-100. Written by Tiffany King Song/Video by Kevin Barnhart Visit my online portfolio. http://www.kevinbarnhartdesign.com Lyrics: Prime…prime…prime, prime, prime I’m prime, P – R – I – M – E Only factors are 1 and me Factors that divide evenly 2, 3, 5, 7, 11 I’m prime, P – R – I – M – E Only factors are 1 and me Factors that divide evenly 13, 17, 19, 23, 29 I’m prime, P – R – I – M – E Only factors are 1 and me Factors that divide evenly 31...
Featuring Matt Parker... More links & stuff in full description below ↓↓↓ See part one at: https://youtu.be/tlpYjrbujG0 Part three on Numberphile2: https://youtu.be/jNXAMBvYe-Y Matt's interview with Curtis Cooper: https://youtu.be/q5ozBnrd5Zc The previous record: https://youtu.be/QSEKzFGpCQs Mersenne Numbers and Mersenne Primes: https://youtu.be/PLL0mo5rHhk More on Mersenne Primes: https://youtu.be/T0xKHwQH-4I GIMPS: http://www.mersenne.org Prime Playlist: http://bit.ly/primevids Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Scie...
The Prime Number Theorem shows that primes are like weeds, popping up everywhere! Dr James Grime explains --- Little bit extra cut from this video: http://youtu.be/TMRZYSQGAcw More links & stuff in full description below ↓↓↓ Our prime number video collection: http://bit.ly/primevids Follow James on Twitter at: https://twitter.com/jamesgrime NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eep...
Have you ever heard of Mills' Constant? Video supported by (& free book): http://www.audible.com/numberphile More links & stuff in full description below ↓↓↓ Several people have pointed out the n=4 prime is 2521008887 (we missed an 8) More on prime numbers: http://bit.ly/primevids This video features Dr James Grime - https://twitter.com/jamesgrime The Mills Proof is at: http://bit.ly/MillsProof NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyhar...
http://www.mathsisfun.com/prime-composite-number.html A Prime Number can be divided evenly only by 1 or itself. And it must be a whole number greater than 1
Audible: http://www.audible.com/numberphile (free trial) Dr James Grime discusses highly composite numbers. More links & stuff in full description below ↓↓↓ Continues and extra footage: https://youtu.be/PF2GtiApF3E Prime numbers (more videos): http://bit.ly/primevids http://www.antiprime.net Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels:...
A story of pi, prime numbers, and complex numbers, and how number theory braids them together. Check out Remix careers: https://www.remix.com/jobs The fact that only primes that are one above a multiple of four can be expressed as the sum of two squares is known as "Fermat's theorem on sums of two squares": https://goo.gl/EdhaN2 Special thanks to the following patrons: http://3b1b.co/leibniz-thanks ------------------ 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 about 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 s...
This talk was originally given to an audience of school students aged 16-17 as part of a mathematics enrichment event at the University of Cambridge. Recorded 19 June 2015. Prime numbers are fundamentally important in mathematics. Discover some of the beautiful properties of prime numbers in this talk by Dr Vicky Neale, and learn about some of the unsolved problems in number theory that mathematicians are working on today.
A story of pi, prime numbers, and complex numbers, and how number theory braids them together. Check out Remix careers: https://www.remix.com/jobs The fact that only primes that are one above a multiple of four can be expressed as the sum of two squares is known as "Fermat's theorem on sums of two squares": https://goo.gl/EdhaN2 Special thanks to the following patrons: http://3b1b.co/leibniz-thanks ------------------ 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 about 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 s...
Lecture for a general audience: Terence Tao is UCLA's Collins Professor of Mathematics, and the first UCLA professor to win the prestigious Fields Medal. Less than a month after winning the Fields Medal, Tao was named a MacArthur Fellow. The following month, Tao was named one of "The Brilliant 10" scientists by Popular Science magazine, which called him "Math's Great Uniter" and said that "to Tao, the traditional boundaries between different mathematical fields don't seem to exist." His Colloquium is titled "Structure and Randomness in the Prime Numbers." The UCLA Science Faculty Research Colloquium Series is designed to promote interdisciplinary research. The Series is sponsored by the Divisions of Life and Physical Sciences, UCLA College. *Edit: For the question posed at [43:37], the...
Slides for the talk: http://online.kitp.ucsb.edu/online/colloq/zhang2/pdf/Zhang2_Colloquium_KITP.pdf It is conjectured that there are infinitely many pairs of prime numbers (p, q) such that q - p = 2. The proof of this conjecture seems to be out of reach by present methods. For many years, it had not been known whether there are infinitely many pairs of prime numbers (p, q) such that q - p is less than C, where C is a fixed number. This was first proved by the author only three years ago with C = 7x10^7. Now the value of C has been reduced to 246. In this talk, we will briefly describe the basic ideas and techniques that leads to such a proof. KAVLI INSTITUTE FOR THEORETICAL PHYSICS Colloquia and Special Seminars Date: Apr 20, 2016 2pm Video taken from: http://online.kitp.ucsb.edu/onli...
Various Artists - Prime Numbers Released 2008-10-31 on Prime Numbers 1. 00:00:00 Linkwood Lost Experiment ( 2004 ) 2. 00:09:18 Fudge Fingas DinsDins4Dada 3. 00:15:48 Reggie Dokes Release Yourself 4. 00:22:34 Discreet Unit Written In Our nature 5. 00:28:31 NapiHedz Jah Bless 6. 00:35:07 Trus'me W.A.R Dub 7. 00:40:24 Linkwood R.I.P 8. 00:46:17 Fudge Fingas Ghost House 9. 00:53:02 Trus'me Good God 10. 00:58:10 Reggie Dokes Black Thoughts 11. 01:02:15 Discreet Unit Unit 12. 01:08:06 Linkwood R.I.P Extended Edit Prime Numbers was initiated by Trus’me at the start of this year. This CD showcases the direction of the label and displays perfectly Trusme’s DJ syle. Trus’me mixes and blend the Prime Numbers vinyl releases so far this year with some forthcoming and previously unreleased tracks from...
Abstract: This lecture will discuss prime numbers and their history, along with some of the many open problems concerning them. There has been much exciting progress over the past few years, and the lecture will provide an overview of what has been achieved, and where the current areas of activity lie.
Slides of this talk: http://wstein.org/rh/slides.pdf How you would tell a high-school student or an interested lay person about the Riemann Hypothesis? Dr. Barry Mazur, Gerhard Gade University Professor of Mathematics at Harvard University, gave a talk on Primes, based on his book-in-progress with William Stein on the Riemann Hypothesis. Date: April 25, 2014 (11:00 AM PDT - 12:00 PM PDT) Video taken from: https://www.msri.org/general_events/20798 More about the book "Prime Numbers and the Riemann Hypothesis" here: http://wstein.org/rh/ http://sagemath.blogspot.com/2015/11/writing-prime-numbers-and-riemann.html
Linkwood - System Released 2009-10-09 on Prime Numbers 1. 00:00:00 Linkwood Carbon Units 2. 00:00:44 Linkwood Robot Parade 3. 00:05:30 Linkwood Tears 4. 00:14:12 Linkwood Falling 5. 00:19:52 Linkwood Pumpernickel 6. 00:23:52 Linkwood Fudge Boogie 7. 00:29:14 Linkwood Chicago Pt 2 8. 00:36:34 Linkwood Electricity 9. 00:44:25 Linkwood System 10. 00:52:42 Linkwood Nectarine After gaining high praise for his previous productions on both the Firecracker Recordings 10" series and Prime Numbers E.Ps including tracks such as "Miles Away", "R.I.P", "Piece Of Mind" & "Lost Experiment" we release "System", the debut album from Nick Moore aka Linkwood. "System" clearly shows the breadth of Linkwood's influences with a spectrum of styles confidently blended including 80's boogie, detroit techno,house...
Math Mornings is a series of public lectures aimed at bringing the joy and variety of mathematics to students and their families. Speakers from Yale and elsewhere talk about aspects of mathematics that they find fascinating or useful. The talks will usually be accessible to students from 7th grade and up, although occasionally some familiarity with high-school subjects will be helpful. Math Mornings lectures will take place on three Sundays each semester, at Davies Auditorium, 10 Hillhouse Avenue. Math Mornings is partially funded by grants from the National Science Foundation. It is part of Yale's Science Outreach program. To find out more see http://yale.edu/scienceoutreach On Sunday, March 30, Andrew Granville gave his talk, "The Patterns in the Primes." A whole number, greater than...
21/06/2009 Music of The Prime Numbers Professor Marcus du-Sautoy פרופ' מרקוס דה - סאטוי, אוניברסיטת אוקספורד, בריטניה part of the "Madua 2008-09" lecture series for more information about the lecture visit: http://outreach.huji.ac.il/?cmd=lectures.9&act;=read&id;=37 produced by the Authority of the Community and Youth http://community-youth.huji.ac.il/ and filmed by the Center for Multimedia Assisted Instruction http://multimedia.huji.ac.il/ of the Hebrew University of Jerusalem http://www.huji.ac.il למידע נוסף על ההרצאה: http://community-youth.huji.ac.il/program1.asp?id=166&cat;=130 מתוך סדרת הרצאות מדוע תשס"ט סדרת הרצאות בין-תחומית לקהל הרחב בה טובי אנשי האקדמיה חולקים את מחקריהם החדשניים עם הקהל שוחר הדעת. סדרת ההרצאות מאורגנת על ידי הרשות לקהילה ונוער http://co...
In this video explained about number system like Negative integers, Non Negative integers, Positive integers, Non positive integers, Prime numbers, Composite numbers, Co prime numbers, Even and Odd numbers, Perfect number. For the Basic types of number system in mathematics | Main Classification of number system in math go through the below link https://youtu.be/j1ra4USShIk This YouTube " Siva Math Tips" channel provided videos regarding easy mathematics calculations, mathematical reasoning, reasoning for competitive exams, math magic tricks, math magic, vedic maths tricks, math for kids, fast calculations in mathematics, This channel very much helpful to all students and elders to improving the creative thinking skills, brain storming, Fast calculation and mental health. Google Plus: h...
The Music of the Primes Marcus du Sautoy, Oxford University Thursday, May 8, 2008, at 6:00 pm MIT, Compton Laboratories Building 26, Room 26-100 Access via 60 Vassar Street Marcus du Sautoy, author of the The Music of the Primes, will discuss the mystery of prime numbers, the history behind the Riemann hypothesis and the ongoing quest to solve it. Why did Beckham choose the number 23 shirt? How is 17 the key to the evolutionary survival of a strange species of cicada? Prime numbers are the atoms of arithmetic -- the hydrogen and oxygen of the world of numbers. Despite their fundamental importance to mathematics, they represent one of the most tantalizing enigmas in the pursuit of human knowledge. In 1859, the German mathematician Bernhard Riemann put forward an idea -- a hypo...
UCLA Department Of Mathematics Terry Tao, Ph.D. Small and Large Gaps Between the Primes
Mathematical mysteries have challenged humanity’s most powerful thinkers and inspired passionate, lifelong obsessions in search of answers. From the strangeness of prime numbers and the nature of infinity, to the turbulent flow of fluids and the geometry of hyperspace, mathematics is our most potent tool for revealing immutable truths. The event was a vibrant tour to the boundaries of the mathematical universe, and explore the deep puzzles that have been solved, the masterminds who powered the breakthroughs, and the towering challenges that have shaken the confidence of some of today’s most accomplished mathematicians—even as they enlist new ways to pursue mathematical truths. Subscribe to our YouTube Channel for all the latest from WSF. Visit our Website: http://www.worldsciencefestival....
MATHDALI Episode 10: PRIME AND COMPOSITE NUMBERS This episode presents prime and composite numbers. This episode also shows how to differentiate prime and composite numbers Subscribe to Knowledge Channel YOUTUBE Channel: http://bit.ly/KnowledgeChannel For Donors: www.knowledgechannel.org For Teachers and Learners: www.kchonline.ph Knowledge Channel Foundation Inc. 5th Floor Benpres Bldg. Exchange Road corner Meralco Ave. Ortigas Center, Pasig City Philippines 1600 +632 910.3181 • +632 910.3183 to 84 Email: info@knowledgechannel.org
Factorization is an endless source of puzzles. If you see a number like 7668, it can be surprisingly fun to search for its prime factors. I present a couple of puzzles related to factorization, before focusing in upon prime numbers. I describe the famous 'Goldbach conjecture' and 'twin prime conjecture', which are some of the most infamous problems in number theory. I also describe how the ancients used the sieve of Eratosthenes to compute primes, and discuss my favorite upon problem regarding the primes. Is there a formula which can be used quickly to find the next.prime ? Or is there same shroud of pseudo randomness or computational irreducibly which will always safeguard the mysterious of the primes.