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how to proof that $1,9999.... \in \mathbb{Z}$?

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#integers
84
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Is the set of odd primes a maximal "Anti-ideal"?

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#elementary-number-theory #ring-theory #prime-numbers #ideals #integers
1.8k
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Is there negative base representation of numbers?

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#integers #number-systems
195
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How to show that $(S\cup\{0\},\ge)$ is order-isomorphic to $(S,\ge)$?

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#abstract-algebra #integers #binary #group-isomorphism #natural-numbers
153
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What is $5^{250} \bmod{26}$, step by step?

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#elementary-number-theory #proof-verification #modular-arithmetic #integers
82
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need help with limit of integer part ??

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#limits #integers
219
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Can we prove that $p_N + 3 \leq 2 p_{N-1}$ for sufficiently large $N$?

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#elementary-number-theory #prime-numbers #integers #prime-gaps
1.8k
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Restricted partition of integer: strictly k distinct parts from a set

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#combinatorics #integers #integer-partitions
149
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What is the value of $\left \lfloor \frac{1}{3} + \frac{i}{2} \right \rfloor $?

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#algebra-precalculus #complex-numbers #definition #integers #ceiling-and-floor-functions
41
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A simple modular arithmetic problem

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#number-theory #prime-numbers #modular-arithmetic #analytic-number-theory #integers
109
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Noether polynomial ring over $2\Bbb Z$

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#ideals #integers #noetherian #polynomial-rings
231
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A question on linear diophantine equations in two variables

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#elementary-number-theory #integers #linear-diophantine-equations
242
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Product of cosets and coset of product

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#abstract-algebra #group-theory #integers
151
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Sum of factorials and perfect squares

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#summation #factorial #integers
1.3k
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Find all integers $n$ such that $\frac{(n^2-n-1)^2}{2n-1}$ is a positive integer

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#number-theory #functions #divisibility #integers

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