This document is a compilation of theorems on factorials, a brief proof of the relationship of factorials with multiples of 9 from $ n!\geq 6$, and general
For any positive integer k let φ(k), σ(k), and τ(k) be the Euler function of k, the divisor sum func...
This paper presents a factorial theorem using factorial functions, integers, and binomial coefficien...
A new sequence of natural numbers can be formed by adding corresponding factorials and triangular n...
Factors and multiples, tables and long division – students who are relieved at mastering these in n...
This work contains an overview of the results concerning number-theoretic pro- perties of some signi...
We study prime divisors of various sequences of positive integers A(n) + 1, n = 1,...,N, such that t...
summary:We study the Diophantine equations $(k!)^n -k^n = (n!)^k-n^k$ and $(k!)^n +k^n = (n!)^k +n^k...
In a paper published in 1993, Erdös proved that if n! = a! b!, where 1 < a ≤ b, then the difference ...
Let S ⊆ Z. The generalized factorial function for S, denoted n!S, is introduced in accordance with t...
AbstractFor a fixed prime q, let eq(n) denote the order of q in the prime factorization of n!. For t...
In memory of my sister Fedra Marina Jakimczuk (1970-2010) In this article we prove that almost the t...
This paper presents two factorial theorems. These theorems are used to compute the factorials for no...
Abstract. Let a, n be positive integers. In this paper we prove that n I (an- a)[n /2]! For any posi...
AbstractA recent conjecture of Myerson and Sander concerns divisibility properties of certain multin...
This paper presents two factorial theorems. These theorems are used to compute the value of factoria...
For any positive integer k let φ(k), σ(k), and τ(k) be the Euler function of k, the divisor sum func...
This paper presents a factorial theorem using factorial functions, integers, and binomial coefficien...
A new sequence of natural numbers can be formed by adding corresponding factorials and triangular n...
Factors and multiples, tables and long division – students who are relieved at mastering these in n...
This work contains an overview of the results concerning number-theoretic pro- perties of some signi...
We study prime divisors of various sequences of positive integers A(n) + 1, n = 1,...,N, such that t...
summary:We study the Diophantine equations $(k!)^n -k^n = (n!)^k-n^k$ and $(k!)^n +k^n = (n!)^k +n^k...
In a paper published in 1993, Erdös proved that if n! = a! b!, where 1 < a ≤ b, then the difference ...
Let S ⊆ Z. The generalized factorial function for S, denoted n!S, is introduced in accordance with t...
AbstractFor a fixed prime q, let eq(n) denote the order of q in the prime factorization of n!. For t...
In memory of my sister Fedra Marina Jakimczuk (1970-2010) In this article we prove that almost the t...
This paper presents two factorial theorems. These theorems are used to compute the factorials for no...
Abstract. Let a, n be positive integers. In this paper we prove that n I (an- a)[n /2]! For any posi...
AbstractA recent conjecture of Myerson and Sander concerns divisibility properties of certain multin...
This paper presents two factorial theorems. These theorems are used to compute the value of factoria...
For any positive integer k let φ(k), σ(k), and τ(k) be the Euler function of k, the divisor sum func...
This paper presents a factorial theorem using factorial functions, integers, and binomial coefficien...
A new sequence of natural numbers can be formed by adding corresponding factorials and triangular n...
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