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Results tagged with prime-numbers
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user 144083
Questions where prime numbers play a key-role, such as: questions on the distribution of prime numbers (twin primes, gaps between primes, Hardy–Littlewood conjectures, etc); questions on prime numbers with special properties (Wieferich prime, Wolstenholme prime, etc.). This tag is often used as a specialized tag in combination with the top-level tag nt.number-theory and (if applicable) analytic-number-theory.
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Which prime numbers fit into my equation similiar to Fermat's little theorem? [closed]
Fermat's little theorem says:
$a^{p-1} \equiv 1 \pmod p$
I have a equation which is similar to this but it's not covered by Fermat's theorem nor by Euler's theorem.
My equation is:
$2^{(p-1)/3} \e …
- 131
2
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0
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Reciprocity theorem with $n \ge 5$
If $p \equiv 1 \pmod n$, what additional conditions are needed to ensure that
$$2^{(p-1)/n} \equiv 1 \pmod p?$$
I know:
For $n=3$ (cubic reciprocity) the form is $p=x^2+27y^2$.
For $n=4$ (biquadra …
- 131