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Show equivalence for different $n$

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#number-theory
383
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How many pairs of adjacent numbers each have a prime number of factors?

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#number-theory #prime-numbers #divisibility #exponentiation #factoring
37
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Number of integral solutions of $x_1^p + x_2^p + ... + x_k^p < N$

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#combinatorics #number-theory #volume
221
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Approaches to Brocard's problem

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#number-theory #conjectures
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Find primes $p$, for which the $x^2 \equiv 7 \pmod{p}$ has a solution

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#number-theory #prime-numbers
333
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Reference request: $p$-adic modular forms

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#abstract-algebra #number-theory #reference-request #p-adic-number-theory #modular-forms
248
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Can I check, whether $n$ with $\frac{n}{\phi(n)}=r$ exists?

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#number-theory #elementary-number-theory #totient-function
117
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What is the modulus for any Tetrahedral number n by any Triangular number m?

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#number-theory #elementary-number-theory #prime-numbers
81
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Can I efficiently (without brute force) determine the smallest number having the given property?

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#number-theory #elementary-number-theory #divisor-counting-function
176
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sum of the squares of two rationals numbers

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#number-theory #elementary-number-theory
99
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Mathematical objects with prime-like behavior

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#linear-algebra #general-topology #number-theory #complex-numbers #computer-science
276
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Six prime number form an arithmetic progression...

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#number-theory #arithmetic-progressions
111
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Why is $1<|\text{Nm}_{K|\Bbb{Q}}(\beta)|< |\text{Nm}_{K|\Bbb{Q}}(\alpha)|$

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#abstract-algebra #number-theory
69
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What is the uniquely determined multiplicative function which agrees with $f$ at the prime powers?

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#number-theory #elementary-number-theory #analytic-number-theory
50
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Is it necessary that $a\ge b$ to $h(n)=\sum\limits_{d^a|n}f(\frac n{d^a})g(\frac n{d^b})$ be multiplicative

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#number-theory #elementary-number-theory #analytic-number-theory

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