https://mathoverflow.net/questions/510629/asymptotic-behaviour-of-difference-set-of-smooth-numbers
nt.number theory - Asymptotic behaviour of difference set of smooth numbers - MathOverflow
As usual, a $k$ smooth number is an integer that has no prime factor exceeding $k$. For each fixed constant $k$, let $A$ be the set of $k$ smooth numbers. The...
number theoryntbehaviourdifferenceset
https://math.stackexchange.com/questions/2412466/conjecture-if-ab-c2-and-gcda-b-1-then-c-gcd-abc-operatornamer
number theory - Conjecture: If $a+b=c2$ and $\gcd(a,b)=1$, then $c\gcd(\,abc,...
It's been a long time since I've posted on here, but a friend of mine recently observed something in number theory and wants to know if anyone can help prove...
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https://mattbaker.blog/
Matt Baker's Math Blog | Thoughts on number theory, graphs, dynamical systems, tropical geometry,...
Thoughts on number theory, graphs, dynamical systems, tropical geometry, pedagogy, puzzles, and the p-adics
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https://mathoverflow.net/questions/tagged/algebraic-number-theory
Newest 'algebraic-number-theory' Questions - MathOverflow
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https://arxiv.org/list/math.NT/recent
Number Theory
number theory
https://mathoverflow.net/questions/18817/does-2m-3n-r-have-finitely-many-solutions-for-every-r
nt.number theory - Does $2^m = 3^n + r$ have finitely many solutions for every $r$? - MathOverflow
Is it true that for every integer $r$, the equation $2^m = 3^n + r$ has at most a finite number of integer solutions? I understand that this is a special case...
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https://mathoverflow.net/questions/31113/zagiers-one-sentence-proof-of-a-theorem-of-fermat
nt.number theory - Zagier's one-sentence proof of a theorem of Fermat - MathOverflow
Zagier has a very short proof (MR1041893, JSTOR) for the fact that every prime number $p$ of the form $4k+1$ is the sum of two squares. The proof defines an...
number theoryntoneprooftheorem
https://mathoverflow.net/questions/202316/small-quotients-of-smooth-numbers
nt.number theory - Small quotients of smooth numbers - MathOverflow
Assume that $N=2^k$, and let $\{n_1, \dots, n_N\}$ denote the set of square-free positive integers which are generated by the first $k$ primes, sorted in...
number theoryntsmallsmoothnumbers
https://mathoverflow.net/questions/509218/is-this-pratt-tree-decomposition-known-in-literature-maybe-under-a-different-na
nt.number theory - Is this Pratt-tree decomposition known in literature, maybe under a different...
Let $m_p(n)$ be the number of times, counted with multiplicity, that the prime $p$ occurs in all Pratt trees of $n$. A Pratt tree for a prime $p$ is known. For...
number theoryntpratttreedecomposition
https://mathoverflow.net/questions/tagged/analytic-number-theory
Newest 'analytic-number-theory' Questions - MathOverflow
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https://www.intechopen.com:443/books/1004961
Number Theory - Classical Foundations and Modern Perspectives | IntechOpen
Number Theory - Classical Foundations and Modern Perspectives. Edited by: Bruno Carpentieri and Mudassir Shams. ISBN 978-1-83635-626-4, eISBN...
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https://primespin394.com/
PrimeSpin394: Exploring Mathematics, Puzzles, and Number Theory
A blog dedicated to mathematical puzzles, prime numbers, and number theory insights. Discover engaging content for math enthusiasts and problem-solvers.
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https://mathoverflow.net/questions/338061/bounds-for-the-number-of-prime-numbers-less-than-the-eulers-factor-the-radical
nt.number theory - Bounds for the number of prime numbers less than the Euler's factor, the radical...
As tell us the Wikipedia section dedicated to Odd perfect numbers (please, see also the related references if you need it), any perfect number has the form...
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https://mathoverflow.net/questions/510568/josef-plemeljs-work-on-the-quintic-case-of-flt
nt.number theory - Josef Plemelj's work on the quintic case of FLT - MathOverflow
It is well known that Dirichlet proved that the equation $x^5+y^5=z^5$ has no non-trivial integer points, by using properties of the norm-euclidean field...
number theoryntjosefworkcase
https://math.stackexchange.com/questions/5134337/what-is-the-rate-of-convergence-of-the-smaller-factor-distribution-in-semiprimes
number theory - What is the rate of convergence of the smaller-factor distribution in semiprimes? -...
number theorywhat israteconvergencesmaller
https://mathhelpforum.com/number-theory/
Number Theory | Math Help Forum
Number Theory Help / Analytic Number Theory / Algebraic Number Theory
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https://math.stackexchange.com/questions/tagged/number-theory
Newest 'number-theory' Questions - Mathematics Stack Exchange
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https://math.stackexchange.com/questions/tagged/analytic-number-theory
Newest 'analytic-number-theory' Questions - Mathematics Stack Exchange
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https://womeninnumbertheory.org/past-conferences/
Past Conferences – Women in Number Theory
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https://mathoverflow.net/questions/152665/is-there-a-lower-bound-for-the-first-non-trivial-sequence-of-consecutive-integer
nt.number theory - Is there a lower bound for the first non-trivial sequence of consecutive...
Using the Chinese Remainder Theorem, it is very straight forward to find a sequence of consecutive integers starting at $x$ where each of the first $n$ prime...
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https://mathoverflow.net/questions/506786/what-is-the-oldest-annual-number-theory-conference
soft question - What is the oldest annual number theory conference? - MathOverflow
I have sometimes asserted that West Coast Number Theory is the oldest annual number theory conference, mostly because nobody has contradicted me when I say it....
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https://archive.org/details/exploring-number-theory-with-divisor-patterns
Exploring Number Theory With Divisor Patterns : Jeffrey Ventrella : Free Download, Borrow, and...
This is a video that explains the divisor plot: a pattern that shows the divisors of the number line. This pattern can also be played like a musical score,...
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https://mathoverflow.net/questions/510610/on-x32x2-phi2-0-the-snub-dodecahedron-and-the-octic-with-n-real-roots
nt.number theory - On $x^3+2x^2-\phi^2=0$, the snub dodecahedron, and the octic with $n$ real roots...
(Update: Gave example of a suitable octic in the last section.) This is a tangent from a previous polyhedra post. I came across the solvable sextic, $$x^6 +...
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https://mathoverflow.net/questions/510656/can-gcdnk-pm-1-hspace2mm-n-pm-11-have-arbitrarily-many-but-finitel
nt.number theory - Can $\gcd(n^k \pm 1, \hspace{2mm} n! \pm 1)1$ have arbitrarily many but...
Fix an integer $k \geq 2$ and let $n \geq 2$ be integer as well. Let $\lambda_1,\lambda_2 \in \{-1, 1 \}$, and then consider the set $$...
number theoryntgcdpm2mm
https://mathoverflow.net/questions/132648/the-erd%c5%91s-tur%c3%a1n-conjecture-or-the-erd%c5%91s-conjecture
nt.number theory - The Erdős–Turán conjecture or the Erdős conjecture? - MathOverflow
This has been bothering me for a while, and I can't seem to find any definitive answer. The following conjecture is well known in additive combinatorics:...
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https://womeninnumbertheory.org/past-conferences/wine-3-2019/
WINE 3 (2019) – Women in Number Theory
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https://mathoverflow.net/questions/21003/polynomial-bijection-from-mathbb-q-times-mathbb-q-to-mathbb-q
nt.number theory - Polynomial bijection from $\mathbb Q\times\mathbb Q$ to $\mathbb Q$? -...
Is there any polynomial $f(x,y)\in{\mathbb Q}[x,y]{}$ such that $f\colon\mathbb{Q}\times\mathbb{Q} \rightarrow\mathbb{Q}$ is a bijection?
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https://mathoverflow.net/questions/tagged/computational-number-theory
Newest 'computational-number-theory' Questions - MathOverflow
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https://womeninnumbertheory.org/
Women in Number Theory – A Mathematical Community
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https://mathoverflow.net/questions/510757/recurrence-leading-to-simple-closed-form-for-fishburn-numbers
nt.number theory - Recurrence leading to simple closed form for Fishburn numbers - MathOverflow
Let $a(n)$ be A022493, i.e., an integer sequence known as Fishburn numbers: number of linearized chord diagrams of degree $n$; also number of nonisomorphic...
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https://primespinbase.com/
PrimeSpinBase: Expert Insights on Mathematics and Number Theory
Explore in-depth articles on prime numbers, mathematical theories, and computational algorithms. A resource for enthusiasts and professionals in mathematics.
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https://mathoverflow.net/questions/509735/was-fermats-last-theorem-known-for-infinitely-many-primes-before-wiles
nt.number theory - Was Fermat's Last Theorem known for infinitely many primes before Wiles? -...
Before Andrew Wiles's 1997 proof of Fermat's Last Theorem, in 1985, Étienne Fouvry et al. proved that the first case of FLT holds for infinitely many primes...
number theoryntlasttheoremknown
https://mathoverflow.net/questions/255269/how-much-space-between-these-smooth-numbers
nt.number theory - How much space between these smooth numbers? - MathOverflow
In looking at OEIS sequence A063539, $1,8,12,16,18,24,27,30,32,36,40,45,...$ I noticed that the first 1000 members were less than 4000, and thought there were...
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https://mathoverflow.net/questions/tagged/nt.number-theory
Newest 'nt.number-theory' Questions - MathOverflow
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https://mathoverflow.net/search?q=user:3635+[nt.number-theory]
Posts matching 'user:3635 [nt.number-theory]' - MathOverflow
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