A note on smooth numbers in short intervals
نویسنده
چکیده
We prove that, for any > 0, there exist a constant C > 0 such that the interval [x, x + C √ x] contains numbers whose all prime factors are smaller than x √ e)+ .
منابع مشابه
Another Note on Smooth Numbers in Short Intervals
We prove that, for any positive constants δ and ε and every large enough x, the interval [x, x+ √ x(log x)7/3+δ] contains numbers whose all prime factors are smaller than xε.
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