Unsolved problems in number theory | Integer sequences
In mathematics, Euclid numbers are integers of the form En = pn# + 1, where pn# is the nth primorial, i.e. the product of the first n prime numbers. They are named after the ancient Greek mathematician Euclid, in connection with Euclid's theorem that there are infinitely many prime numbers. (Wikipedia).
Euclid's elements: definitions, postulates, and axioms
This is a beginners introduction to Euclid's elements. Support my channel with this special custom merch! https://www.etsy.com/listing/1037552189/wooden-large-platonic-solids-geometry Learn step-by-step here: http://pythagoreanmath.com/euclids-elements/ visit my site: http://www.pythago
From playlist Euclid's Elements Book 1
Introducing the fifth postulate in Euclid's Elements along with the remaining definitions and rules. Support my channel with this special custom merch! https://www.etsy.com/listing/1037552189/wooden-large-platonic-solids-geometry Learn Euclid's Elements with interactive step-by-step here
From playlist Euclid's Elements Book 1
Support my channel with this special custom merch! https://www.etsy.com/listing/994053982/wooden-platonic-solids-geometry-set visit my site: http://www.pythagoreanmath.com Playlist of Euclid's Elements in link below: http://www.youtube.com/playlist?list=PLFC65BA76F7142E9D From now on we
From playlist Euclid's Elements Book 1
Euclid's "Elements" - Book 1, Proposition 31
https://www.patreon.com/Mathoma Heath's translation of Euclid's "Elements" http://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.01.0086%3Abook%3D1%3Atype%3DProp%3Anumber%3D31 This series is part of a larger project, part of which covers geometry.
From playlist Euclid's "Elements" - Book 1
Algebra Ch 46: Exponential Functions (9 of 12) How to Calculate Euler's Number? Method 2
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn how to calculate Euler's number using infinite series, e=2.718281828459... (Method 2) Next video in this series can b
From playlist THE "HOW TO" PLAYLIST
Algebra Ch 46: Exponential Functions (8 of 12) How to Calculate Euler's Number? Method 1
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn how to calculate Euler's number, e=2.718281828459... (Method 1) Next video in this series can be seen at: https://you
From playlist THE "HOW TO" PLAYLIST
Geometry - Basic Definitions - Part 1 | Origin of Geometry | Don't Memorise
Does Geometry help us in daily life? Was it used in ancient times? What is the origin of geometry? Who's Euclid and what are Euclid's Elements? Watch this video to know more! To learn more about Euclid's Geometry, enrol in our full course now: https://bit.ly/EuclidsGeometry To cover all
From playlist Euclids Geometry Class 09
Introduction to number theory lecture 4. More on Euclid's algorithm
This lecture is part of my Berkeley math 115 course "Introduction to number theory" We discuss how to solve linear equations in integers using Euclid's algorithm. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 The textb
From playlist Introduction to number theory (Berkeley Math 115)
Theory of numbers: Euclid's algorithm
This lecture is part of an online undergraduate course on the theory of numbers. We describe several algorithms for finding the greatest common divisor of two numbers. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj52Qf7lc3HHvHRdIysxEcj1H
From playlist Theory of numbers
Algebra Ch 46: Exponential Functions (7 of 12) What is Euler's Number?
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn Eulers's number is also known as the “natural number” and the exponential function becomes f(x)=e^x or f(x)=e^(cx) wher
From playlist THE "WHAT IS" PLAYLIST
Wolfram Physics Project: Working Session Sept. 15, 2020 [Physicalization of Metamathematics]
This is a Wolfram Physics Project working session on metamathematics and its physicalization in the Wolfram Model. Begins at 10:15 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the
From playlist Wolfram Physics Project Livestream Archive
Introduction to number theory lecture 3: Divisibility and Euclid's algorithms.
This lecture is part of my Berkeley math 115 course "Introduction to number theory" The lecture covers basic properties of divisibility, and Euclid's algorithm for finding greatest common divisors. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EF
From playlist Introduction to number theory (Berkeley Math 115)
Book 2, Proposition 6 - Euclid Seminar 25
We continue the study of geometric algebra in Book 2. This week we discuss Proposition 6. There is a recollection of how "area" differs for Euclid and us moderns. You can join this seminar from anywhere, on any device, at https://www.metauni.org. This video was recorded in The Rising Sea
From playlist Euclid
The History of Non-Euclidean Geometry - The Great Quest - Extra History - #2
For hundreds of years, Euclid's geometry disappeared with the fall of the Roman Empire. But in Constantinople, Islamic mathematicians, including Al-Khwarizmi (who gave us the word "algebra") worked long and hard on proving the Fifth Postulate. Support us on Patreon! http://bit.ly/EHPatreon
From playlist Extra History: Chronological Order (1700 CE - Present)
This seminar covers the Postulates and Proposition 1 of Euclid's Elements, presented by Kenneth Chan and Daniel Murfet. Apologies for the audio issues, the machine this was recorded on has some problem (the audio in the event was fine). You can join this seminar from anywhere, on any dev
From playlist Euclid
Theory of numbers: Euclid's theorem
This lecture is part of an online undergraduate course on the theory of numbers. We discuss Euclid's proof that there are infinitely many primes, and give a few variations of it showing that there are infinitely many primes in certain arithmetic progressions. A couple of typos pointed o
From playlist Theory of numbers
Euclid's "Elements" - Book 1, Proposition 7
https://www.patreon.com/Mathoma Heath's translation of Euclid's "Elements" http://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.01.0086%3Abook%3D1%3Atype%3DProp%3Anumber%3D7 This series is part of a larger project, part of which covers geometry.
From playlist Euclid's "Elements" - Book 1
Theory of numbers: Fundamental theorem of arithmetic
This lecture is part of an online undergraduate course on the theory of numbers. We use Euclid's algorithm to prove the fundamental theorem of arithmetic, that every positive number is a product of primes in an essentially unique way. We then use this to prove Euler's product formula fo
From playlist Theory of numbers
Euclid's Geometry - Axioms - Part 1 | Don't Memorise
What are Axioms? What are the 7 main axioms given by Euclid? Watch this video on Euclid's Geometry to know more! To learn more about Euclid's Geometry, enrol in our full course now: https://bit.ly/EuclidsGeometry To cover all concepts related to Geometry visit our playlist here: https:
From playlist Euclids Geometry Class 09
Euclid's algorithm and Bezout's identity
In this video we do some examples of Euclid's algorithm and we reverse Euclid's algorithm to find a solution of Bezout's identity. At the end of the video we prove a fundamental consequence of Bezout's identity, namely Euclid's lemma which will be a fundamental ingredient in the proof of t
From playlist Number Theory and Geometry