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Preserving addition of one in inductive step of modulo

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#number-theory #proof-writing #modular-arithmetic #induction
134
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Average distance between consecutive digits of normal number

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#number-theory #random-variables #expectation #variance
200
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Show that $p_n^{1-\epsilon}\le n$ using PNT

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#number-theory #prime-numbers #analytic-number-theory
1k
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Multiples of 99.

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#number-theory
164
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Diophantine equation $p^{2n}+2=3^m$

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#number-theory #diophantine-equations
2k
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Floor function of a real number

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#number-theory
431
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Number theory and combinatorial problem

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#combinatorics #number-theory
362
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Find all odd solutions for $n$ for which $3n^2+8$ is equal to a number in base $10$ which is formed by only one digit(e.g.-$222,8888888,4,99$ etc.)

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#number-theory #elementary-number-theory
303
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Group structure on the Dirichlet binary composition of quadratic forms

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#number-theory #algebraic-number-theory #quadratic-forms #representations-by-quadratic-forms
43
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Creating an equation from a group of numbers and the answer

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#number-theory #fractions
56
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Expressing an integer as the sum of three of more square free numbers.

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#number-theory #asymptotics #analytic-number-theory #mobius-function
103
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For any natural number $x\ge 20$, we have that $\pi(x)>\frac{\ln x}{2\ln\ln x}$

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#number-theory #prime-numbers
64
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how to compute $\gcd(\frac{a}{b},\frac{c}{d})$?

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#number-theory #gcd-and-lcm #least-common-multiple
672
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How can $\left(\frac pq\right)\left(\frac qp\right)=(-1)^{\frac{p-1}{2}\frac{q-1}{2}}$

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#number-theory #notation #legendre-symbol
169
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Does $(x+y)^m=x^m+y^m+z^m$ imply $(x+y+z)^m=(x+z)^m+(y+z)^m$?

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#calculus #number-theory #polynomials #integers

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