Primes of the form $[{n}^c]$ with  square-free $n$

S. I. Dimitrov

doi:10.3842/umzh.v76i2.7258

S. I. Dimitrov Faculty of Applied Mathematics and Informatics, Technical University of Sofia, Bulgaria

DOI: https://doi.org/10.3842/umzh.v76i2.7258

Анотація

УДК 621

Прості числа вигляду $[{n}^c]$, де $n$ не є квадратом

Нехай $[\, \cdot\,]$ – ціла частина числа. Показано, що для $1<c<\dfrac{3849}{3334}$ існує нескінченно багато простих чисел вигляду $[n^c],$ де $n$ не є квадратом.

Посилання

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