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15
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Expected size of the maximal prime gap below x under Hardy-Littlewood conjecture

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#number-theory #prime-numbers #prime-gaps
82
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Finding upper bound of number of prime numbers in arithmetic progressions

Published on
#prime-numbers #arithmetic-progressions
27
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Finding bound counting primes which end by $3$

Published on
#prime-numbers
355
Views

Reference request: a formula for the prime-counting function

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#number-theory #reference-request #prime-numbers
163
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Alternative view on the group of units of $\mathbb{Z}/p\mathbb{Z}$

Published on
#abstract-algebra #group-theory #field-theory #prime-numbers #permutations
268
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Python program implementing the Sieve of Eratosthenes.

Published on
#elementary-number-theory #prime-numbers
123
Views

How can I speed up the search for a special number?

Published on
#number-theory #elementary-number-theory #prime-numbers #prime-factorization
697
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Using the recursion theorem to implement the Sieve of Eratosthenes.

Published on
#elementary-number-theory #prime-numbers #computer-science #recursion
130
Views

Primes in reduced residue systems

Published on
#prime-numbers #reduced-residue-system
129
Views

Show that the natural density is $1/2$.

Published on
#number-theory #limits #prime-numbers #analytic-number-theory
289
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Divisibility of prime factorial

Published on
#elementary-number-theory #prime-numbers
32
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Is the multiset of prime gaps in an admissible $ k $ -tuple of minimal diameter $ d $ determined by $ (k,d) $?

Published on
#number-theory #prime-numbers
352
Views

Prime number between $\sqrt{n}-n^{1/3}$ and $\sqrt{n}$

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#number-theory #prime-numbers
63
Views

Equation with prime numbers

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#number-theory #prime-numbers
151
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Proof verification: finding all prime numbers in the form of $n^3-1, n>1$

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#proof-verification #prime-numbers #prime-factorization

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