Unsolved problems in number theory | Integer sequences

Euclid number

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).

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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

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Euclid's Fifth Postulate

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

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Definitions and rules Part 2

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

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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

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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

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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

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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

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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)

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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

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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

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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

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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)

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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

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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)

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Euclid - Seminar 1

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

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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

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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

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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

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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

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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

Related pages

Prime number | Euclid–Mullin sequence | Mathematics | Integer | Square number | Primorial prime | Euclid's theorem | Euclid | Primorial