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15
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Given $11x+17y +19z =2561$ , find minimum and maximum of $x+y+z $

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#algebra-precalculus #number-theory #diophantine-equations #integer-programming
130
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A Proposition related to Fermat Factorization Method

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#number-theory #elementary-number-theory #divisibility #factoring
354
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Borel-Cantelli lemma in diophantine approximation

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#real-analysis #number-theory #measure-theory
30
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Prove exists consecutive integers $s,s+1,\dots,s+i$ such that $m_{i}|s+i$, if $m_{0},\dots,m_{r}$ are positive integers coprime

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#number-theory #elementary-number-theory #integers
83
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How to represent $x^y$ = [Integer] + [Remainder]?

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#number-theory #exponentiation #ceiling-and-floor-functions
1.6k
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Prove that $(x+y)^p=x^p+y^p \mod p$ where $p$ is a prime.

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#number-theory #modular-arithmetic #binomial-theorem
139
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Multiplication that preserves the digits

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#number-theory
792
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Multiples are closed under integral linear combinations

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#algebra-precalculus #number-theory #definition #proof-explanation
35
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Distribution over $\mathbb{Q}_p$

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#number-theory #measure-theory #p-adic-number-theory
25
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Sequence of consecutive integers

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#number-theory #prime-numbers #gcd-and-lcm
523
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The Periodic Collatz Conjecture

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#sequences-and-series #number-theory #recurrence-relations #collatz-conjecture
337
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Numbers of the form $m^2+2^n$

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#number-theory #prime-numbers
138
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Is it possible to prove that $M$ is an integer with $p+M \over x$ is always an integer?

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#abstract-algebra #combinatorics #geometry #number-theory
1.1k
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How to come up with a greedy solution and prove it?

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#number-theory #discrete-mathematics #algorithms
468
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Why noetherian rings

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#abstract-algebra #number-theory #ring-theory #noetherian

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