Three consecutive odd numbers that are primes are called prime triplets. It is easy to show that

Question:

Three consecutive odd numbers that are primes are called prime triplets. It is easy to show that 3, 5, and 7 are the only prime triplets. Can you explain why this is true?

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

Step by Step Answer:

Related Book For answer-question

Nature Of Mathematics

ISBN: 9781133947257

13th Edition

Authors: Karl J. Smith

See More Books

Question Posted: Jan 15, 2024 06:01 AM

See More Questions

Pairs of consecutive odd numbers that are primes are called prime twins. For example, 3 and 5, 11 and 13, and 41 and 43 are prime twins. Can you find any others?
File to edit sprintf ~~~~~~~~~~~~~~~~~ #sprintf! #$a0 has the pointer to the buffer to be printed to #$a1 has the pointer to the format string #$a2 and $a3 have (possibly) the first two substitutions...
Colin borrows 10,000 at an interest rate of 6.1% compounded monthly. At the end of the loan, Colin pays 14,851.20. Calculate the length of Colin's loan in years. Emily borrows 20,000 for 8 years at a...
Modify Index to make a program IndexByKeyword that takes a file name from the command line and makes an index from standard input using only the keywords in that file. Note: Using the same file for...
A230 kg crate hangs from the end of a rope of length L = 12.0 m. You push horizontally on the crate with a varying force F to move it distance d = 4.00 m to the side (Figure). (a) What is the...
Describe two significant compromises made by delegates at the Constitutional Convention?
On April 20, 1992, Daniel Hubbard (plaintiff), a potato farmer, and UTZ Quality Foods, Inc. (UTZ) (defendant), a potato chip manufacturer, entered an installment contract under which Hubbard agreed...
Gammaro Company uses normal costing. It allocates manufacturing overhead costs using a budgeted rate per machine-hour. The following data are available for 2011: Budgeted manufacturing overhead costs...
List the four main data definition language keywords and explain them with examples?
In 1742 the mathematician Christian Goldbach observed that every even number (except 2) seemed representable as the sum of two primes. Goldbach could not prove this result, known today as Goldbachs...
Set up a sieve similar to the one illustrated here but using the first 100 counting numbers. 1 7 13 19 25 31 37 43 2 x 4 20 2 3 8 14 26 32 38 44 4 9 15 10 M 16 21 22 27 28 33 34 36 39 40 45 46 12 18...
Find the equation of the tangent to the curve x 2 3xy + 2y 2 = 3 at the point (1, 2) and the equation of the normal to the curve y = x 3 x 2 at the point (1, 0). Find the distance of the point of...
What do we mean by the dysfunctional aspects of bureaucracy?
What is the difference between: (a) a membership group and a reference group; and (b) a normative reference group and a comparative reference group?
Comment on the nature of toxic cultures in organizations.
How does one improve the performance of teams who have a lot of experience of working together?
Examine the frameworks for analysing organizational culture, and state which one you personally feel is the more credible.
For each of these situations, indicate the amount to be placed on a statement of financial condition at December 31, 2010. a. Raj Reel owns the following securities: 1,000 shares of Rees 2,000 shares...
(a) As Section 17.3 discusses, high-frequency sound waves exhibit less diffraction than low-frequency sound waves do. However, even high-frequency sound waves exhibit much more diffraction under...
Determine the reactions at the supports and then draw the moment diagram. Assume A is fixed. EI is constant. 500 lb 800 lb/ft D. -20 ft- 15 ft -20 ft-
Determine the moments at A, B, and C, then draw the moment diagram. Assume the support at B is a roller and A and C are fixed. EI is constant. 900 lb 900 lb 400 lb -6 ft--6 ft-|-6 ft10 ft- -10 ft
Determine the moments at A, B, and C. Assume the support at B is a roller and A and C are fixed. EI is constant. 3 k/ft 2 k/ft IB FA -36 ft -24 ft-
Part A In (Figure 1), = 68. Figure 00 FB-6kN FA-8kN 1 of 1 Determine the magnitude of the resultant force. Express your answer to three significant figures and include the appropriate units. ? FR=...
The figure below shows a storage tank holding natural gas. In an adjacent instrument room, a U-tube mercury manometer in communication with the storage tank reads L-1.9 m. If the atmospheric pressure...
12. Calculate the pressure drop for a straight pipe of length L = 60m, the data for this problem is given to you below: Pipe diameter D=0.01m Flow velocity v=1.2 m/s Pipe absolute roughness =0.00003...

Three consecutive odd numbers that are primes are called prime triplets. It is easy to show that

Question:

Step by Step Answer:

Once we move beyond 7 any group of three consecutive odd numbers is ...View the full answer

Nature Of Mathematics

Students also viewed these Sciences questions