Prime numbers

Goldbach's comet

Goldbach's comet is the name given to a plot of the function , the so-called Goldbach function (sequence in the OEIS). The function, studied in relation to Goldbach's conjecture, is defined for all even integers to be the number of different ways in which E can be expressed as the sum of two primes. For example, since 22 can be expressed as the sum of two primes in three different ways. The coloring of points in the above image is based on the value of modulo 3 with red points corresponding to 0 mod 3, blue points corresponding to 1 mod 3 and green points corresponding to 2 mod 3. In other words, the red points are multiples of 6; the blue points are of the form "a multiple of 6, plus 2"; and the green points are multiples of 6 plus 4. (Wikipedia).

Goldbach's comet
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Goldbach Conjecture - Numberphile

Professor David Eisenbud on the famed Goldbach Conjecture. More links & stuff in full description below ↓↓↓ Catch David on the Numberphile podcast: https://youtu.be/9y1BGvnTyQA Extra footage from this interview: https://youtu.be/7D-YKPMWULA Prime Playlist: http://bit.ly/primevids Prime

From playlist David Eisenbud on Numberphile

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Albert Einstein, Holograms and Quantum Gravity

In the latest campaign to reconcile Einstein’s theory of gravity with quantum mechanics, many physicists are studying how a higher dimensional space that includes gravity arises like a hologram from a lower dimensional particle theory. Read about the second episode of the new season here:

From playlist In Theory

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Newton's Law of Universal Gravitation

Watch more videos on http://www.brightstorm.com/science/physics SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► htt

From playlist Physics

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What Are Neutron Stars?

When a dying star is too massive to leave behind a white dwarf and not massive enough to leave behind a black hole, you get a neutron star (sometimes a pulsar). It's a very compact clump of neutrons surrounded by a very strong magnetic field. These things are crazy!! ______________________

From playlist Astronomy

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Where Do Comets Come From? Exploring the Oort Cloud

Some comets orbit the Sun on a regular basis, but others come in from deep space, a region known as the Oort Cloud. What causes them to make this journey, and will we ever be able to explore the Oort Cloud? Support us at: http://www.patreon.com/universetoday More stories at: http://www.un

From playlist Guide to Space

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What Are White Dwarf Stars?

White dwarfs are a type of stellar corpse, the mass left over when fusion stops in a star. They would collapse on themselves under gravity if it wasn't for quantum mechanics, the Pauli exclusion principle, and electron degeneracy pressure. Here's how they work. ____________________________

From playlist Astronomy

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Are Prime Numbers Made Up? | Infinite Series | PBS Digital Studios

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi 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 int

From playlist An Infinite Playlist

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Goldbach Conjecture (extra footage) - Numberphile

Main video: https://youtu.be/MxiTG96QOxw Extra footage from interview with David Eisenbud at MSRI. Ribet on Fermat: https://youtu.be/nUN4NDVIfVI Maynard on Twin Prime: https://youtu.be/QKHKD8bRAro Prime Playlist: http://bit.ly/primevids NUMBERPHILE Website: http://www.numberphile.com/ N

From playlist David Eisenbud on Numberphile

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Inference: A Logical-Philosophical Perspective with Alexander Paseau

In this talk, Professor Alexander Paseau, Faculty of Philosophy, University of Oxford, will describe some of his work on inference within mathematics and more generally. Inferences can be usefully divided into deductive or non-deductive. Formal logic studies deductive inference, the obviou

From playlist Franke Program in Science and the Humanities

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Gödel's Incompleteness Theorem - Numberphile

Marcus du Sautoy discusses Gödel's Incompleteness Theorem More links & stuff in full description below ↓↓↓ Extra Footage Part One: https://youtu.be/mccoBBf0VDM Extra Footage Part Two: https://youtu.be/7DtzChPqUAw Professor du Sautoy is Simonyi Professor for the Public Understanding of Sc

From playlist Animations by Pete McPartlan

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The Selberg sieve (Lecture 1) by Stephan Baier

Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod

From playlist Workshop on Additive Combinatorics 2020

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What Are Comet Tails?

Comets are renowned for their big beautiful tails that stretch across the sky. But what's in those things, anyway? And how can comets get multiple tails?

From playlist Guide to Space

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What Are The Different Kinds of Supernovae?

Supernovae are some of the most powerful explosions in the Universe, releasing more energy in a moment than most stars will release in their entire lifetimes. Support us at: http://www.patreon.com/universetoday More stories at: http://www.universetoday.com/ Twitter: @universetoday Facebo

From playlist Black Holes

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Lec 1 | MIT 6.042J Mathematics for Computer Science, Fall 2010

Lecture 1: Introduction and Proofs Instructor: Tom Leighton View the complete course: http://ocw.mit.edu/6-042JF10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.042J Mathematics for Computer Science, Fall 2010

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Harald Helfgott: Towards ternary Goldbach's conjecture

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Number Theory

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Teach Astronomy - Universal Law of Gravity

http://www.teachastronomy.com/ Newton's master work is the universal law of gravity. Newton's law of gravity states that every object in the universe, every particle, every planet, every star, every galaxy, attracts each other with a force that is proportional to each of the masses of two

From playlist 03. Concepts and History of Astronomy and Physics

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What is a Nova? How Does It Compare to a Supernova?

We’ve talked about supernovae plenty of times, but what about just regular, plain old novae? What are they, and how are they different from the star destroying explosions we know and love? Support us at: http://www.patreon.com/universetoday More stories at: http://www.universetoday.com/ F

From playlist Supernovae

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Primes, Complexity and Computation: How Big Number theory resolves the Goldbach Conjecture

This lecture, which begins at 2:45, shows how Big Number theory, together with an understanding of prime numbers and their distribution resolves the Goldbach Conjecture, which states that every even number greater than two is the sum of two primes. Notions of complexity and computation,

From playlist MathSeminars

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The Halting Problem - An Impossible Problem to Solve

Start learning today with SkillShare: https://skl.sh/upandatom2 Alan Turing proved that the Halting Problem was impossible for Turing machines (computers) to solve. Come find out how. The quantum computer game I talked about: https://phys.cam/game/ This video was co-written by my supe

From playlist Computer Science

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Exploring the Gliese 667 System

As we continue our search for earth-like, potentially habitable worlds, we come across an interesting triple-star system called Gliese 667. The smallest of these three stars, Gliese 667 C, is a red dwarf with several planets, one of which is among the most earth-like we have found yet. Let

From playlist Astronomy/Astrophysics

Related pages

Correlation | Histogram | Twin prime | Curve fitting | Modular arithmetic | Goldbach's conjecture