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15
180
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Is an integer extension of a ring the integral closure of this ring in some extension?

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#number-theory #algebraic-number-theory #arithmetic-geometry #integral-extensions
52
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Alternating pattern of root 2 convergents

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#number-theory
83
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Two variable Factorial Conjecture needing direct proof

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#number-theory #factorial
112
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sum of multiplicative inverses for $p=3k+1$

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#number-theory #elementary-number-theory
95
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Proof for Natural number Identities

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#sequences-and-series #number-theory #radicals #ceiling-and-floor-functions
102
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Different sums that preserve divisibility

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#number-theory
863
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Finding the last 4 digits of a huge power

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#number-theory #elementary-number-theory #modular-arithmetic #problem-solving
164
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Siegel's lemma for arbitary number field.

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#number-theory #diophantine-equations #diophantine-approximation
213
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Show that for each $n \geq 1$ it holds that $2^{n-1} F_n \equiv n \pmod{5}$

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#number-theory #fibonacci-numbers
496
Views

Good books on Function fields for self-study

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#number-theory #reference-request #book-recommendation
134
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A strange seemly pattern from some even numbers. Is there a known theorem that can explain this pattern?

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#number-theory #prime-factorization
823
Views

Project Euler Problem #500

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#number-theory #project-euler
111
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Representing integer as product of $2^n$ and an odd number

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#number-theory #elementary-functions
225
Views

Can any integer, not a multiple of three, be represented as $n = \sum_{i=0}^{a-1} 3^i \times 2^{b_i}$?

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#algebra-precalculus #number-theory #elementary-number-theory #conjectures #collatz-conjecture
1.1k
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Are there any non-algebraic, non-transcendental complex numbers? Is $0$ a pure imaginary number?

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#real-analysis #complex-analysis #number-theory #complex-numbers #definition

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