Find n such that $\phi(n)$ is the given value

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Newcastle University Mathematics and Statistics

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Newcastle University Mathematics and Statistics 9 years, 2 months ago

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Question statement

Give any introductory information the student needs.

			Name	Type	Generated Value

primess	string	Since $\var{m}+1=\var{m+1}$ is
t6	list	List of 4 items
j	integer	2
m	integer	12
si	list	List of 4 items
t14	list	List of 4 items
t28	list	List of 4 items
s	list	[ 42, 36, 28, 26, 21, 13 ]
t10	list	List of 4 items
t	list	Nested 7×4 list
t12	list	List of 4 items
m1	rational	6
valmess	string	Looking at the table we see th
t22	list	List of 4 items
t18	list	List of 4 items
solmess	string	Hence the solutions written in
factmess	string	The factorization $12=2 \times
ls	list	List of 7 items

Automatically regenerate variables?

Name

Data type

Value

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if(si[1]=1,'Since $\\var{m}+1=\\var{m+1}$ is a prime number we have solutions, $n=\\var{m+1}$ and $n=2\\times \\var{m+1}=\\var{2*(m+1)}$. \n Next we look to see if $\\var{m}$ is a value in the table.',
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'Since $\\var{m}+1=\\var{m+1}$ is not a prime number we next look to see if $\\var{m}$ is a value in the table.')
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JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

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Generated value: `string`

Since

$\var{m}+1=\var{m+1}$ is a prime number we have solutions,

$n=\var{m+1}$ and

$n=2\times \var{m+1}=\var{2*(m+1)}$ . Next we look to see if

$\var{m}$ is a value in the table.

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Parts

Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
1. Step Information only

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

Find all $n \in \mathbb{N}$ such that $\phi(n)=\var{m}$ and if at least two exist, enter the largest and second largest here:

Largest=Gap 0. Second largest=Gap 1.

If there are no solutions, enter 0 in both answer fields.

Advice

{primess}

{valmess}

{factmess}

{solmess}

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Part	Test	Passed?
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Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
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Find n such that $\phi(n)$ is the given value

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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History

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Checkpoint description

Newcastle University Mathematics and Statistics 9 years, 2 months ago

Error in variable testing condition

Error

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Generated value: `string`

Parts

Gap-fill

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Error

Find n such that ϕ(n)\phi(n) is the given value

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Newcastle University Mathematics and Statistics 9 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: string

Parts

Gap-fill

Find n such that $\phi(n)$ is the given value

Generated value: `string`