Consider the first eight prime numbers greater than 3. The numbers are 5, 7, 11, 13, 17,

Question:

Consider the first eight prime numbers greater than 3. The numbers are 5, 7, 11, 13, 17, 19, 23, and 29.

(a) Determine which of these prime numbers differs by 1 from a multiple of the number 6.

(b) Use inductive reasoning and the results obtained in part (a) to make a conjecture regarding prime numbers.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

A Survey of Mathematics with Applications

ISBN: 978-0134112107

10th edition

Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde

See More Books

Question Posted: Jan 08, 2019 08:03 AM

See More Questions

A prime number is a number that is evenly divisible only by 1 and itself. The prime numbers less than 100 are listed below. 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97...
(a) Consider the 7th row of Pascal's triangle. Observe that each interior number (that is, a number other than 1) is divisible by 7. For what values of n, for 1 ¤ n ¤ 12, are the...
1. Suppose that a $100,000 investment grows 3% during the first year and 4% during the second year. By what percent will it have grown after the 2-year period? (The answer is not 7%) 2. Rework...
A new computer system allows your firm to more accurately monitor inventory and anticipate future inventory shortfalls. As a result, the firm feels more able to pare down its inventory levels. What...
Cruz Company uses LIFO for inventory costing and reports the following financial data. It also recomputed inventory and cost of goods sold using FIFO for comparison purposes. 1. Compute its current...
An auto dealership is running a promotional deal whereby they will replace your tires free of charge for the life of the vehicle when you purchase your car from them. You expect the original tires to...
The value of the Joule-Thomson coefficient for an ideal gas is (a) + ve (b) - ve (c) 0 (d) $\alpha$.
The management of a regional bus line thought the companys cost of gas might be correlated with its passenger/mile ratio. The data and a correlation matrix follow.Comment. Averade Wholesale Cost of...
SHOW WORKINGS: Suppose a Gatorade costs 25 euros in Finland and20 Singaporean dollars in Singapore. If the exchange rate is 1.25euros per Singaporean dollar, what is the real exchange rate?
Amboy Specialty Foods: A Cheesy Variance Investigation In 1940, a retired U.S. Marine Colonel established Amboy Specialty Foods to provide canned cheese sauce as meal rations for the United States...
Determine the sum of the arithmetic sequence. The number of terms, n, is given. 0.5, 0.75, 1.00, 1.25, . . ., 5.25; n=20
Without doing any calculations, determine whether 17 = 4.123.
Streams transport great amounts of sediment. Then as stream flow slows, these sediments are deposited. What are these deposited sediments called, and how are they laid out?
Israel's initial defeat was not strategic surprise but fundamental flaws in preparations for the next war. What contributed most to IDF failures? A. Unrealistic plans and poor staff work B. Failing...
After college, Michael decided to start his own clothing company that uses biodegradable packaging instead of plastic packaging to reduce its carbon footprint. What is the most likely motivator for...
Entering negotiations with a potential customer, a supplier starts with an inflated price per part. They have a significant cushion to work with as they negotiate downward. They are trying to take...
Do the following practice questions (for practice not for grading). By doing them correctly, you can demonstrate your understanding of how abandonment and expansion options are incorporated in...
Consider a market as described in the table below. Asset Sharperatio Alpha/IdiosyncraticVolatility X 0.60 0.12 Y 0.40 -0.12 Allothers 0.79 0.00 M 0.80 0.00...
The earth has a vertical electric field at the surface, pointing down, that averages 100 N/C. This field is maintained by various atmospheric processes, including lightning. What is the excess charge...
Using the parallel-axis theorem, determine the product of inertia of the area shown with respect to the centroidal x and y axes. 6 in. 9 in. 9 in- 4.5 in. in. 4.5 in.
Based on Problem 3.12, what is the conditional probability that the father has influenza given that the mother does not have influenza? Suppose an influenza epidemic strikes a city. In 10% of...
What is the probability that all three of these individuals have Alzheimers disease? Mental Health Estimates of the prevalence of Alzheimers disease have recently been provided by Pfeffer et al. [8]....
What is the probability that at least one of the women has Alzheimers disease? Mental Health Estimates of the prevalence of Alzheimers disease have recently been provided by Pfeffer et al. [8]. The...
a. Suppose the spherical shell is made of material with a constant conductivity = 3.3 x 104 (22.m). Find the value of the resistance. R = abc a sin(x) x10 Submit Reset All Reset Divide the resistor...
1*. Consider the following vector fields: = 2xyzj + xyk = y + x + f (z)k where f(2) is an arbitrary function of z E = osin 0 + cos 00 + Determine which ones could be electrostatic fields and...
2. (10 points) The diagram below shows a region of space that has a uniform electric field in the +x direction, as shown by the arrows. The magnitude of the E-field is +30N/C everywhere. The value of...

Consider the first eight prime numbers greater than 3. The numbers are 5, 7, 11, 13, 17,

Question:

Step by Step Answer:

a 5 6 1 7 6 1 11 12 1 13 12 1 17 18 1 19 18 ...View the full answer

A Survey of Mathematics with Applications

Students also viewed these Mathematics questions