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...
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https://mathoverflow.net/questions/tagged/algebraic-number-theory
Newest 'algebraic-number-theory' Questions - MathOverflow
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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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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/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...
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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://arxiv.org/list/math.NT/recent
Number Theory
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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/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...
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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/analytic-number-theory
Newest 'analytic-number-theory' Questions - MathOverflow
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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...
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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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Newest 'number-theory' Questions - Mathematics Stack Exchange
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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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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/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/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...
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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/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/tagged/computational-number-theory
Newest 'computational-number-theory' Questions - MathOverflow
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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/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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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/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://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/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://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? -...
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