An elementary proof of a formula on quadratic residues
... Disparities for low row numbers • The disparity is always > 0 for p > 32(2r – 1)3. • The proof uses 2X > X + A – ½ + X – A – ½ and the binomial theorem. • The disparity for row 2 is always > 0. • All primes with negative disparity in row r up to r = 5 ...
... Disparities for low row numbers • The disparity is always > 0 for p > 32(2r – 1)3. • The proof uses 2X > X + A – ½ + X – A – ½ and the binomial theorem. • The disparity for row 2 is always > 0. • All primes with negative disparity in row r up to r = 5 ...
Integers and division
... Primes and composites Theorem: If n is a composite that n has a prime divisor less than or equal to n . Approach 3: • Let n be a number. To determine whether it is a prime we can test if any prime number x < n divides it. Example 1: Is 101 a prime? • Primes smaller than 101 = 10.xxx are: 2,3,5,7 • 1 ...
... Primes and composites Theorem: If n is a composite that n has a prime divisor less than or equal to n . Approach 3: • Let n be a number. To determine whether it is a prime we can test if any prime number x < n divides it. Example 1: Is 101 a prime? • Primes smaller than 101 = 10.xxx are: 2,3,5,7 • 1 ...
