Abstract
Let the prime factorization of n be n = q 1 q 2 ⋯ q a with q 1 ⩾ q 2 ⩾ ⋯ ⩾ q a ⩾ 2 . A positive integer n is said to be ordinary if the smallest positive integer with exactly n divisors is p 1 q 1 − 1 p 2 q 2 − 1 ⋯ p a q a − 1 , where p k denotes the k th prime. In this paper I prove that all integers of the form ql are ordinary, where l is a square-free positive integer and q is a prime. This confirms a conjecture of Yong-Gao Chen. For a video summary of this paper, please click here or visit http://youtu.be/WTY4wr8L_U0 . Author Video Watch what authors say about their articles
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