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2:42
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Math Mastery with Amitesh
What is the Euler totient function and how to calculate it? | Number Theory Intro! #numbers #maths
We give a simple example calculating the Euler totient function of the number 100 to introduce the Euler totient function to beginners. The Euler totient function phi(n) counts the number of integers between 1 and n (inclusive) that are relatively prime to n. The key ingredient in calculating phi(n) is the prime factorization of n. We ...
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Graham's number is an immense number that originated from a problem in Ramsey theory in mathematics. It's so large that it's impossible to write out using ordinary notation—even if you used the smallest possible font and filled the entire observable universe with paper, you still couldn't contain all its digits. Here are the key details: • Origin: The number was introduced by mathematician Ronald Graham in the 1970s while he was working on a problem about coloring the edges of high-dimensional c
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number created by mathematician Ronald Graham in 1977 as an upper bound for a complex problem in Ramsey Theory which is a branch of mathematics that studies order in multi-dimensional geometric shapes and it is so massive that the observable universe does not have enough space to hold its digits even if every atom became ink and paper so mathematicians must use Knuth's up-arrow notation to write it because standard power towers completely fail where three single arrow three equals twenty-seven a
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Graham's Number (G64) is an unimaginably, ridiculously large number that originated in Ramsey theory within mathematics. It is so massive that the observable universe literally does not contain enough physical space or atoms to write down its digits, even if every single subatomic particle were converted into a tiny pen and ink. To even begin writing Graham's Number, standard scientific notation fails completely. Mathematicians have to use special arrow notation, building a tower of exponents so
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