On a Logarithmic Equation by Primes
نویسندگان
چکیده
Let [ ⋅ ] be the floor function. In this paper, we show that every sufficiently large positive integer N can represented in form $$\displaystyle N=[p_1\log p_1]+[p_2\log p_2]+[p_3\log p_3], $$ where p1, p2, andp3 are prime numbers. We also establish an asymptotic formula for number of such representations, when do not exceed given number.
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ژورنال
عنوان ژورنال: Springer optimization and its applications
سال: 2022
ISSN: ['1931-6828', '1931-6836']
DOI: https://doi.org/10.1007/978-3-030-84122-5_12