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Questions Tagged with "elementary number theory"

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Positive integer solutions to $frac{1}{a} + frac{1}{b} = frac{c}{d}$

3 answer

Mathematics Asked 1 year ago

Proving Euler’s Totient Theorem

3 answer

Mathematics Asked 1 year ago

Sum $sum_{(k_1, k_2, k_3): k_1+k_2+k_3=K, ,, n_1+n_2+n_3=N}k_1^{n_1}times k_2^{n_2} times k_3^{n_3}$

0 answer

Mathematics Asked 1 year ago

Find all integer values of $a$ such that $a^2 - 4a$ is a perfect square

3 answer

Mathematics Asked 1 year ago by hardik-ddod

When is $sum_{i=1}^{m}i^n =0 bmod dfrac{m(m+1)}{2}$?

0 answer

Mathematics Asked 1 year ago

One number is removed from the set of integers from $1$ to $n.$ The average of the remaining numbers is $163/4.$ Which integer was removed?

4 answer

Mathematics Asked 1 year ago by Drich1002

Establishing divisibility by a prime

1 answer

Mathematics Asked 1 year ago

Chinese Remainder Theorem for moduli that are not necessarily pairwise coprime

1 answer

Mathematics Asked 1 year ago

Solve $x^2+3y = u^2$ and $y^2+3x=v^2$ in positive integers.

2 answer

Mathematics Asked 1 year ago by The Demonix _ Hermit

How to check if $phi(n)$ is a perfect square?

0 answer

Mathematics Asked 1 year ago by ppSpp

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