S Chowla and SS Pillai
... 163 million, and any arbitrarily large k, there exists a positive integer n such that Nn is divisible by pk . ...
... 163 million, and any arbitrarily large k, there exists a positive integer n such that Nn is divisible by pk . ...
Perfect numbers and finite groups
... subgroups of a group G is not too large, is an interesting way of saying that G has relatively few normal subgroups, and we can indeed deduce structural properties if D(G) is relatively small; this is precisely what we will do in Section 3. In Section 4, we will focus on constructing examples. In [5 ...
... subgroups of a group G is not too large, is an interesting way of saying that G has relatively few normal subgroups, and we can indeed deduce structural properties if D(G) is relatively small; this is precisely what we will do in Section 3. In Section 4, we will focus on constructing examples. In [5 ...
Distribution of Prime Numbers 6CCM320A / CM320X
... is called a primality test. The easiest primality test is √ the following method which is known as trial division. For every prime number p ≤ n test whether√n is divisible by p or not. By Lemma 1.19 we know that if p | n for some p ≤ n then n is composite, otherwise n is prime. Trial division is onl ...
... is called a primality test. The easiest primality test is √ the following method which is known as trial division. For every prime number p ≤ n test whether√n is divisible by p or not. By Lemma 1.19 we know that if p | n for some p ≤ n then n is composite, otherwise n is prime. Trial division is onl ...
