Question

Numbers greater than 3 have the form 6k+1 or 6k-1, prove with the definition of prime numbers

143

likes

715 views

Answer to a math question Numbers greater than 3 have the form 6k+1 or 6k-1, prove with the definition of prime numbers

$Expert avatar$

Timmothy

4.8

99 Answers

1. Any integer can be written in one of the forms:

6k, 6k+1, 6k+2, 6k+3, 6k+4, 6k+5

, where $ k $ is an integer.

2. Numbers of the form

6k+2

, and

6k+4

are divisible by 2 and hence not prime (except for 2, which is not greater than 3).

3. Numbers of the form

6k+3

are divisible by 3 and hence not prime (except for 3, which is not greater than 3).

4. Thus, any prime number greater than 3 must be of the form

6k+1

6k-1

.

**Answer:**

Any prime number greater than 3 must be of the form

6k+1

6k-1

Frequently asked questions (FAQs)

What is the sine of the angle θ in a right-angled triangle with opposite side 3 and hypotenuse 5?

Math Question: Find the limit as x approaches 2 of (3x+4)/(x^2-4) + (5x+6)/(x-2).

Question: How many degrees are there in 1 radian?

New questions in Mathematics

Moaz wanted to test whether the level of headache pain (on a scale of 1 – 10) changes after taking Advil. He collected data from 9 participants and calculated the difference in headache pain before and after taking Advil (summarized in the table below). Determine W observed for this test. Difference Scores -2 -4 0 +1 +3 -2 0 -3 -5 Also, What is the degrees of freedom for this test?

A job takes 9 workers 92 hours to finish. How many hours would it take 5 workers to complete the same job?

∫ √9x + 1 dx

Emma is on a 50 m high bridge and sees two boats anchored below. From her position, boat A has a bearing of 230° and boat B has a bearing of 120°. Emma estimates the angles of depression to be about 38° for boat A and 35° for boat B. How far apart are the boats to the nearest meter?

1. A pediatric client is prescribed digoxin for congestive heart failure. The dose prescribed is 40 mcg/kg twice daily. The child weighs 33 pounds. What is the dosage in mg to be given per dose? Round to the nearest hundredth. Calculate your answer in mg per dose. Enter numerical value only.____mg

Use the sample data and confidence level given below to complete parts (a) through (d). A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4336 patients treated with the drug, 194 developed the adverse reaction of nausea. Construct a 99% confidence interval for the proportion of adverse reactions.

Buffalo Company makes and sells shampoo. Each unit requires $1.40 labor costs, material costs per unit are $0.90 and other variable costs are $0.30. It sells shampoo for $4.45 to retailers. Fixed costs are $15,000. It sold 25,000 units in the current month. What is the Break-Even point in units? What is the Break-Even point in dollars? What is the contribution margin of Buffalo Company?

Write an expression using compatible numbers that can be used to estimate the quotient 629\86

How many moles are there in 235 grams of potassium thiosulfate pentahydrate? K2S2O3*5(H2O)

An election ballot asks voters to select three city judges from a group of 12 candidates. How many ways can this be done?

The following incoming payments show up at a tax inspection: 25 000€ on 19.01.2008, 140 000€ on 27.03.2008 and 19 000€ on a date that which is illegible, and 60 000€ on 15.06.2008. On which date did the payment of the 19 000€ appear, if on 30.06.2008 the money on the account (incl. interest at 4%) is 246 088.89€? Use simple interest and 30E/360 DCC. Solution: 45 days, 15.05.08

-1/3x+15=18

-Please answer to the following questions: What is the price elasticity of demand? Can you explain it in your own words? What is the price elasticity of supply? Can you explain it in your own words? What is the relationship between price elasticity and position on the demand curve? For example, as you move up the demand curve to higher prices and lower quantities, what happens to the measured elasticity? How would you explain that? B-Assume that the supply of low-skilled workers is fairly elastic, but the employers’ demand for such workers is fairly inelastic. If the policy goal is to expand employment for low-skilled workers, is it better to focus on policy tools to shift the supply of unskilled labor or on tools to shift the demand for unskilled labor? What if the policy goal is to raise wages for this group? Explain your answers with supply and demand diagrams. Make sure to properly cite and reference your academic or peer-reviewed sources (minimum 2).

An invoice for €2,880 plus default interest of €48.40 was paid on October 28th. Interest rate 5.5%. When was the bill due?

In a cheese factory, one pie costs 3800 denars. The fixed ones costs are 1,200,000 denars, and variable costs are 2,500 denars per pie. To encounter: a) income functions. profit and costs; b) the break-even point and profit and loss intervals.

Numbers greater than 3 have the form 6k+1 or 6k-1, prove with the definition of prime numbers

Answer to a math question Numbers greater than 3 have the form 6k+1 or 6k-1, prove with the definition of prime numbers

You might be interested in