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15
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Are all the primes greater than $3$ in form of $6n\pm1$

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#elementary-number-theory #prime-numbers
89
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$2^{prime} = {prime}*x+1$

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#prime-numbers
110
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Odd primes of the form $\varphi(m)^{2k+1}+1$

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#prime-numbers #totient-function
71
Views

Prove that $\mathbb{Q}(\sqrt[3]{p}, \sqrt{q}) = \mathbb{Q}(\sqrt[3]{p}\cdot\sqrt{q})$

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#abstract-algebra #field-theory #prime-numbers
134
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A remarkable(?) condition on sequences of natural numbers

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#sequences-and-series #reference-request #prime-numbers #conjectures #prime-gaps
357
Views

Binomial coefficient: Search for multiples of 13

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#number-theory #elementary-number-theory #prime-numbers #binomial-coefficients #binomial-theorem
183
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Show that set of $2\times 2$ matrices with entries in $\mathbb{Z}/p\mathbb{Z}$ is a group

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#linear-algebra #abstract-algebra #group-theory #number-theory #prime-numbers
72
Views

Question on notation of $\mathbb{F}[t]$

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#number-theory #elementary-number-theory #prime-numbers #finite-fields
189
Views

Closure on a Superset of the Rationals

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#elementary-number-theory #prime-numbers #rational-numbers
232
Views

Question about prime gap records

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#sequences-and-series #number-theory #elementary-number-theory #prime-numbers #prime-gaps
340
Views

Find $p,q $ prime numbers s.t. $p+p^2+...+p^{10}-q=2017$

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#algebra-precalculus #number-theory #prime-numbers
359
Views

A partition in three classes of the set of all prime numbers?

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#elementary-number-theory #reference-request #prime-numbers #recurrence-relations #divisibility
76
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Arithmetics: Number of divisors of an positive integer, their sum and product

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#prime-numbers #arithmetic #divisibility #prime-factorization #divisor-sum
726
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Occurences of primes in pi

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#prime-numbers #pi
10.3k
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Real life uses of prime numbers (in physics/engineering)

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#soft-question #prime-numbers #big-list #applications

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