In number theory, a branch of mathematics, a highly cototient number is a positive integer which is above 1 and has more solutions to the equation than any other integer below and above 1. Here, is Euler's totient function. There are infinitely many solutions to the equation for = 1 so this value is excluded in the definition. The first few highly cototient numbers are: 2, 4, 8, 23, 35, 47, 59, 63, 83, 89, 113, 119, 167, 209, 269, 299, 329, 389, 419, 509, 629, 659, 779, 839, 1049, 1169, 1259, 1469, 1649, 1679, 1889, ... (sequence in the OEIS) Many of the highly cototient numbers are odd. In fact, after 8, all the numbers listed above are odd, and after 167 all the numbers listed above are congruent to 29 modulo 30. The concept is somewhat analogous to that of highly composite numbers. Just as there are infinitely many highly composite numbers, there are also infinitely many highly cototient numbers. Computations become harder, since integer factorization becomes harder as the numbers get larger. (Wikipedia).
Seven Factor MegaFavoriteNumber
I might be a bit late to the #megafavnumbers party, but I decided to make this video to show an interesting idea I came up with. It took some months of insomnia to come up with this concept. I consider whether a certain string of numbers, characterized by the number of their factors, c
From playlist MegaFavNumbers
43,252,003,274,489,856,000 and 3,674,160 (#MegaFavNumbers)
#MegaFavNumbers If you have a favourite number over 1 million, post a video with you explaining why that number is so interesting.
From playlist MegaFavNumbers
Superior Base Number 18 #MegaFavNumbers
Presenting my #MegaFavNumbers (plural not misleading)! There's still time to join in on the fun! Superior Base Numbers on the OEIS: https://oeis.org/A003418 Highly Composite Numbers on the OEIS: https://oeis.org/A002182 Video created using a colourful combination of DaVinci Resolve, A
From playlist MegaFavNumbers
MegaFavNumbers: All you need to go Mega is just 3 bytes
Joining the maths #MegaFavNumbers thing just because I like it. My favourity number of over 1 million is a number I remember ever since I was a child. It is used often and well known. Watch to find out why. 16777216
From playlist MegaFavNumbers
#MegaFavNumbers What’s your Mega Favourite Number?
From playlist MegaFavNumbers
Conversion Arcs and 2,916,485,648,612,232,232,816 (MegaFavNumbers)
I'm sorry. The MegaFavNumbers playlist: https://www.youtube.com/playlist?list=PLar4u0v66vIodqt3KSZPsYyuULD5meoAo
From playlist MegaFavNumbers
https://sites.google.com/site/teachshsat/ SHSAT and prime numbers
From playlist SHSAT - 8th Grade Samples
5040 and other Anti-Prime Numbers - Numberphile
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.antiprim
From playlist Prime Numbers on Numberphile
MegaFavNumbers - superior highly composite numbers and roundness
this is my contribution to the #MegaFavNumbers crossover event within math youtube. for those of you who are subscribed for my language videos, don't worry, Conlang Critic: Viossa is on its way. check out the MegaFavNumbers playlist: https://www.youtube.com/playlist?list=PLar4u0v66vIodqt3
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Di Fang - Time-dependent Hamiltonian Simulation of Highly Oscillatory Dynamics - IPAM at UCLA
Recorded 24 January 2022. Di Fang of the University of California, Berkeley, presents "Time-dependent Hamiltonian Simulation of Highly Oscillatory Dynamics" at IPAM's Quantum Numerical Linear Algebra Workshop. Abstract: Highly oscillatory dynamics are ubiquitous in nature and practical app
From playlist Quantum Numerical Linear Algebra - Jan. 24 - 27, 2022
Introduction to R: Preparing Numeric Data
Numeric data tends to be cleaner than text data, but there are still a variety of preprocessing steps to consider when working with numeric data to prepare it for analysis and modeling. In this lesson we consider four data preparation steps including: data normalization (centering and scal
From playlist Introduction to R
Closing Keynote: Quantum Computing: Reality vs. Hype - John Preskill - 6/27/2019
AstroInformatics 2019 Conference: Methodology Transfer, Quantum Computing, and Looking Ahead http://astroinformatics2019.org/
From playlist AstroInformatics 2019 Conference
Stanford ENGR108: Introduction to Applied Linear Algebra | 2020 | Lecture 12 - VMLS angle
Professor Stephen Boyd Samsung Professor in the School of Engineering Director of the Information Systems Laboratory To follow along with the course schedule and syllabus, visit: https://web.stanford.edu/class/engr108/ To view all online courses and programs offered by Stanford, visit:
From playlist Stanford ENGR108: Introduction to Applied Linear Algebra —Vectors, Matrices, and Least Squares
Jeroen Schillewaert: Constructing highly regular expanders from hyperbolic Coxeter groups
Thursday 17 November 2022 Jeroen Schillewaert, University of Auckland Abstract: Given a string Coxeter system (W,S), we construct highly regular quotients of the 1-skeleton of its universal polytope P, which form an infinite family of expander graphs when (W,S) is indefinite and P has fin
From playlist SMRI Seminars
2.2.11 An Introduction to Linear Regression - Video 6: Correlation and Multicollinearity
MIT 15.071 The Analytics Edge, Spring 2017 View the complete course: https://ocw.mit.edu/15-071S17 Instructor: Allison O'Hair Explores significant relationships between variables in the model. License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses a
From playlist MIT 15.071 The Analytics Edge, Spring 2017
OWASP AppSecUSA 2012: The 7 Qualities of Highly Secure Software
Speaker: Mano Paul The applications on the web, mobile, and the cloud, all have one thing in common: They are all insecure. And in this world that is rife with software vulnerabilities, if there were just seven things you are allowed to place in the bag entitled "software development" and
From playlist OWASP AppSecUSA 2012
73939133 - Probably the Most Interesting Prime Number [Part 2][PyMath #2]
The Math behind: https://youtu.be/5BFDdVqAFZE PyMath Playlist: https://www.youtube.com/playlist?list=PLN2B6ZNu6xmdS12rCSWlMUV4XTBhJ0SKr Today we code a program that spits out a list of all possible right truncatable Prime Numbers and thus, also the biggest one in existence 73939133. Trunca
From playlist Number Theory
Quantum Interference with Cold Rydberg Atoms by Sanjukta Roy
DISCUSSION MEETING STRUCTURED LIGHT AND SPIN-ORBIT PHOTONICS ORGANIZERS: Bimalendu Deb (IACS Kolkata, India), Tarak Nath Dey (IIT Guwahati, India), Subhasish Dutta Gupta (UOH, TIFR Hyderabad, India) and Nirmalya Ghosh (IISER Kolkata, India) DATE: 29 November 2022 to 02 December 2022 VE
From playlist Structured Light and Spin-Orbit Photonics - Edited