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Prime numbers relation

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#prime-numbers
41
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Uniform residue limits over $\{1,2,\dots,p-1\}$

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#number-theory #prime-numbers #modular-arithmetic #conjectures
156
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On Number Theory and Goldbach's Conjecture

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#number-theory #prime-numbers #algebraic-number-theory #goldbachs-conjecture
76
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Distribution of Pairs of Semiprimes

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#prime-numbers #estimation #semiprimes
103
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Is there a positive integer $n \ge 2$ for which $\frac{k}{\pi(k)} = n$ has no solution?

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#number-theory #elementary-number-theory #prime-numbers #analytic-number-theory #computational-mathematics
141
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Questions about the Dirichlet series $K(s)=\sum\limits_{p^k} p^{\,-k\,s}$

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#number-theory #prime-numbers #riemann-zeta #dirichlet-series #mellin-transform
1.6k
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How is a prime a product of primes? [singleton products]

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#discrete-mathematics #prime-numbers #prime-factorization
93
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Prime factor inversion

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#number-theory #prime-numbers #prime-factorization #fixed-points
122
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Prime Numbers. Show that if $a \mid 42n + 37$ and $a \mid 7n +4$, for some integer $n$, then $a = 1$ or $a = 13$

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#prime-numbers #divisibility
443
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Computational results for the sequence $n!+{p_n}!+1$ are, well, very very unusual

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#number-theory #soft-question #prime-numbers #factorial
60
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Complexity of prime-finding (32/64 bit fixed-length ints!) algorithm

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#prime-numbers #algorithms #asymptotics
92
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Square any prime p and see whether there are other numbers squared that have the same last digits.

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#prime-numbers
358
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Question on Divisor Sum over the Liouville Function $\lambda(d)=(-1)^{\omega(d)}$

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#number-theory #prime-numbers #divisor-sum #liouville-function
156
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What is the upper bound for $\prod_{p|N}(1+p^{-1})$?

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#number-theory #prime-numbers #sieve-theory
50
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The sequence $a(n)=\sum_{k=2}^n \varphi(k)$ has much primes, as expected

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#prime-numbers #totient-function

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