Number Theory

Elementary Number Theory Problems 3.2 Solution (David M. Burton's 7th Edition) - Q4 Members Public

My Solution for "Establish the following facts: (a) $\sqrt{p}$ is irrational for any prime $p$. (b) If $a$ is a positive integer and $\sqrt[n]{a}$ is rational, then $\sqrt[n]{a}$ must be an integer. (c) For $n \geq 2$, $\sqrt[n]{n}$ is irrational. [Hint: Use the fact that $2^n > n$.]"

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Math

Elementary Number Theory Problems 3.2 Solution (David M. Burton's 7th Edition) - Q3 Members Public

My Solution for "Given that $p \not \mid n$ for all primes $p \leq \sqrt[3]{n}$, show that $n \gt 1$ is either a prime or the product of two primes. "

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Math

Elementary Number Theory Problems 3.2 Solution (David M. Burton's 7th Edition) - Q2 Members Public

Ranblog Solution for "Employing the Sieve of Eratosthenes, obtain all the primes between 100 and 200."

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Math

Elementary Number Theory Problems 3.2 Solution (David M. Burton's 7th Edition) - Q1 Members Public

Ranblog Solution for "Determine whether the integer $701$ is prime by testing all primes $p \leq \sqrt{701}$ as possible divisors. Do the same for the integer $1009$."

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Math

Elementary Number Theory Problems 3.1 Solution (David M. Burton's 7th Edition) Members Public

My solutions for Burton's Elementary Number Theory Problems 3.1 (7th Edition)

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Number Theory

Elementary Number Theory Problems 2.5 Solution (David M. Burton's 7th Edition) Members Public

My solutions for Burton's Elementary Number Theory Problems 2.5 (7th Edition)

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Number Theory

Elementary Number Theory Problems 2.3 Solution (David M. Burton's 7th Edition) Members Public

My solutions for Burton's Elementary Number Theory Problems 2.3 (7th Edition)

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Number Theory

Elementary Number Theory Problems 2.2 Solution (David M. Burton's 7th Edition) Members Public

My solutions for Burton's Elementary Number Theory Problems 2.2 (7th Edition)

Ran
Ran
Number Theory