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Is $0 = 0^1 = 0^2 \times 0^{-1}?$

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#number-theory
438
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Finding all positive integers $x,y,z$ that satisfy $2^x=3^y7^z+1$

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#number-theory
364
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Dirichlet Convolution

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#number-theory #dirichlet-convolution
188
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Find probability that product of two random integers uniformly distributed from $1$ to $n$ is divisible by $n$.

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#probability #number-theory #prime-numbers
402
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Lagrange spectrum in diophantine approximation theory

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#number-theory #fractals #visualization #diophantine-approximation
233
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All finite field $GF(p^m)$ has primitive $9$th root of unity.

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#number-theory #finite-fields
49
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Proof: $(a^2+h)^{1/2} \approx a+\frac{h}{2a}$ for $0<h<a^2$

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#number-theory #elementary-number-theory #binomial-theorem
193
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How to prove equality of sum of Legendre symbols

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#number-theory #summation #prime-numbers #legendre-symbol
73
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What is the significance of a reduced residue system?

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#number-theory #elementary-number-theory
298
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Inequality mod p for all primes implies equality.

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#number-theory #elementary-number-theory
1.4k
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Find the least positive residue of $40^{128} \mod 49$

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#number-theory #elementary-number-theory #modular-arithmetic #totient-function
1k
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An explicit equation for an elliptic curve with CM?

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#number-theory #elliptic-curves #complex-multiplication
95
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a number theory problem regrading grids

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#number-theory #combinations
328
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Prove that there are infinitely many primes of the form $25m+7$.

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#number-theory #elementary-number-theory #proof-verification #proof-writing
66
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Given two rationals $s,p$, do they exist three rationals whose sum is $s$ and product is $p$?

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#number-theory #rational-numbers

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