a quick way to factor large semi-primes
... That is, p=641=6(107)-1 and q=6700417=6(1116736)+1. Note the opposite sign in the p and q appendages. This is consistent with the fact that N mod(6)=5. This semi-prime is of historical interest since it was the first Fermat Number F[n]=2^2^n+1 to be proven to be a composite. To date none of the Ferm ...
... That is, p=641=6(107)-1 and q=6700417=6(1116736)+1. Note the opposite sign in the p and q appendages. This is consistent with the fact that N mod(6)=5. This semi-prime is of historical interest since it was the first Fermat Number F[n]=2^2^n+1 to be proven to be a composite. To date none of the Ferm ...
Chapter 9 Signed Numbers
... To multiply or divide two numbers with the same sign, multiply or divide the absolute values. The result is positive. Example: Divide. –75 ÷ (– 3) ...
... To multiply or divide two numbers with the same sign, multiply or divide the absolute values. The result is positive. Example: Divide. –75 ÷ (– 3) ...
focus on problem solving 10
... patterns. The algebraic formulas we have found in this book are compact ways of describing a pattern. For example, the familiar equation (a + b) 2 = a 2 + 2ab + b 2 gives the pattern for squaring the sum of two numbers. Another example we have encountered is the pattern for the sum of the first n od ...
... patterns. The algebraic formulas we have found in this book are compact ways of describing a pattern. For example, the familiar equation (a + b) 2 = a 2 + 2ab + b 2 gives the pattern for squaring the sum of two numbers. Another example we have encountered is the pattern for the sum of the first n od ...
MTH 112 Section 2.2
... Complex Number System • Mathematicians invented the complex number system in order to make it possible to solve all quadratic equations. • What is a complex number? A real number plus an imaginary number ...
... Complex Number System • Mathematicians invented the complex number system in order to make it possible to solve all quadratic equations. • What is a complex number? A real number plus an imaginary number ...
Measurements and Significant Figures/Digits
... as in case 1, and no unrealistic precision is claimed as in case 2. We’ve assumed here that one can measure precisely to one-tenth of the smallest markings on the ruler—in this case, that means to the nearest 0.01 cm. This example illustrates the general concept of significant figures (hereafter cal ...
... as in case 1, and no unrealistic precision is claimed as in case 2. We’ve assumed here that one can measure precisely to one-tenth of the smallest markings on the ruler—in this case, that means to the nearest 0.01 cm. This example illustrates the general concept of significant figures (hereafter cal ...
Section 10.4
... 10.4 Use Square Roots to Solve Quadratic Equations p. 652-658 Objective: 1. You will solve quadratic equations by finding square roots. To solve a quadratic equation of the form ax2 + c = 0 first isolate x2 on one side to obtain x2 = d, then take the square root to solve. Key Concept Box Solving I ...
... 10.4 Use Square Roots to Solve Quadratic Equations p. 652-658 Objective: 1. You will solve quadratic equations by finding square roots. To solve a quadratic equation of the form ax2 + c = 0 first isolate x2 on one side to obtain x2 = d, then take the square root to solve. Key Concept Box Solving I ...
