On the highest prime-power which divides n!
نویسندگان
چکیده
منابع مشابه
On the prime power factorization of n!
In this paper we prove two results. The first theorem uses a paper of Kim [8] to show that for fixed primes p1, . . . , pk, and for fixed integers m1, . . . ,mk, with pi 6 |mi, the numbers (ep1(n), . . . , epk(n)) are uniformly distributed modulo (m1, . . . ,mk), where ep(n) is the order of the prime p in the factorization of n!. That implies one of Sander’s conjecture from [9], for any set of ...
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ژورنال
عنوان ژورنال: Arkiv för Matematik
سال: 1951
ISSN: 0004-2080
DOI: 10.1007/bf02591375