Difference between revisions of "Manuals/calci/LISTPRIMES"

Latest revision as of 04:49, 8 June 2020

LISTPRIMES (Max,Min,IndexOnly)

$Max$ is the upper limit.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Min} is the lower limit.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle IndexOnly} is the specified position of a prime number.
- LISTPRIMES(),returns the list of prime numbers from given range

Description

This function is listing the set of prime numbers for the given set of numbers.
A prime number is a natural number, it can be divided, without a remainder, only by itself and by 1.
For e.g. the number 11 is a prime, because 11 is divided by 1 and 11 without any remainder.
But 6 is not prime, because 6 can be divided by 1,2,3 and 6. Such numbers are called composite numbers.
Also the number 0 and 1 are neither prime nor composite.
In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle LISTPRIMES(Max,Min,IndexOnly)} , gives the list of prime numbers between the range Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle max } and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle min} .
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Max } is the upper limit value and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Min} is the lower limit value
And Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle IndexOnly} is the position of the prime number value. Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle IndexOnly} value is optional.
Suppose we are not giving the Index value, it will show all the prime numbers in given range.
This function will give the result as error when

Any one of the argument is nonnumeric.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Max < Min } or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle IndexOnly } is the beyond the range number of prime numbers
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Max } or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Min<0} .

ZOS

The syntax is to display the prime numbers list in ZOS is Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle LISTPRIMES(Max,Min,IndexOnly)} .
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Max} is the upper limit.
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Min} is the lower limit.
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle IndexOnly} is the specified position of a prime number.
For e.g.,LISTPRIMES(500,390,7)

Listing Prime Numbers

Examples

=LISTPRIMES(20,11) = 11 13 17 19
=LISTPRIMES(20,11,3) = 17
=LISTPRIMES(150,130) = 131,137,139,149
=LISTPRIMES(10,-1) = 2 3 5 7
=LISTPRIMES(-10,1) = Null
=LISTPRIMES(90,70) = 71 73 79 83 89
=LISTPRIMES(90,70,4) = 83
=LISTPRIMES(90,70,6) = undefined

References

Prime Numbers

List of Main Z Functions

Z3 home

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-<div id="6SpaceContent" class="zcontent" align="left">
+<div style="font-size:30px">'''LISTPRIMES (Max,Min,IndexOnly)'''</div><br/>
+*<math>Max</math> is the upper limit.
+*<math>Min</math> is the lower limit.
+*<math>IndexOnly</math> is the specified position of a prime number.
+**LISTPRIMES(),returns the list of prime numbers from given range
-'''LISTPRIMES'''(max,min,i)
+==Description==
+*This function is listing the set of prime numbers for the given set of numbers.
+*A prime number is a natural number, it  can be divided, without a remainder, only by itself and by 1.
+*For e.g. the number 11 is a prime, because 11 is divided by 1 and 11 without any remainder.
+*But 6 is not prime, because 6 can be divided by 1,2,3 and 6. Such numbers are called composite numbers.
+*Also the number 0 and 1 are neither prime nor composite.
+*In <math> LISTPRIMES(Max,Min,IndexOnly)</math>, gives the list of prime numbers between the range <math> max </math> and <math>min</math>.
+*<math>Max </math> is the upper limit value and <math>Min</math> is the lower limit value
+*And <math>IndexOnly</math> is the position of the prime number value. <math>IndexOnly</math> value is optional.
+*Suppose we are not giving the Index value, it will show all the prime numbers in given range.
+*This function will give the result as error when
+# Any one of the argument is nonnumeric.
+#<math> Max < Min </math> or <math>IndexOnly </math> is the beyond the range number of prime numbers
+#<math>Max </math> or <math> Min<0</math>.
-where
+==ZOS==
+*The syntax is to display the prime numbers list in ZOS is <math>LISTPRIMES(Max,Min,IndexOnly)</math>.
+**<math>Max</math> is the upper limit.
+**<math>Min</math> is the lower limit.
+**<math>IndexOnly</math> is the specified  position of a prime number.
+*For e.g.,LISTPRIMES(500,390,7)
+{{#ev:youtube|CxMBgoBSxCg|280|center|Listing Prime Numbers}}
-'''max''','''min''' and''' i '''are any real numbers
+==Examples==
+#=LISTPRIMES(20,11) = 11   13    17    19
+#=LISTPRIMES(20,11,3) = 17
+#=LISTPRIMES(150,130) = 131,137,139,149
+#=LISTPRIMES(10,-1) = 2    3      5     7
+#=LISTPRIMES(-10,1) = Null
+#=LISTPRIMES(90,70) = 71    73      79      83     89
+#=LISTPRIMES(90,70,4) = 83
+#=LISTPRIMES(90,70,6) = undefined
-</div>
+==Related Videos==
-----
-<div id="1SpaceContent" class="zcontent" align="left">
-LISTPRIMES function returns prime numbers in the given range .It returns the ith prime number in the given range if i is given.
+{{#ev:youtube|mIStB5X4U8M|280|center|PRIME NUMBERS}}
-</div>
+==See Also==
-----
+*[[Manuals/calci/INT  | INT]]
-<div id="7SpaceContent" class="zcontent" align="left">
+*[[Manuals/calci/EVEN  | EVEN ]]
+*[[Manuals/calci/ODD  | ODD ]]
-LISTPRIMES returns NaN if any of max,min or i are not real numbers.
+==References==
+[http://en.wikipedia.org/wiki/List_of_prime_numbers Prime Numbers]
-</div>
-----
-<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
-LISTPRIMES
-</div></div>
+*[[Z_API_Functions | List of Main Z Functions]]
-----
-<div id="8SpaceContent" class="zcontent" align="left">
-Lets see an example in (Column2Row1)
+*[[ Z3 |   Z3 home ]]
-<nowiki>=LISTPRIMES(Column1Row1,Column1Row2)</nowiki>
-Returns 2,3,5,7 for LISTPRIMES(10,2)
-Consider another example in (Column2Row4)
-<nowiki>=LISTPRIMES(Column1Row4,Column1Row5,Column1Row6)</nowiki>
-Returns 3 for LISTPRIMES(10,2,2)
-</div>
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-<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
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-<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
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-<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
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-<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
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-<div id="2SpaceContent" class="zcontent" align="left">
-{| id="TABLE3" class="SpreadSheet blue"
-|+ Default Calci
-|- class="even"
-| class=" " |
-| Column1
-| class="   " | Column2
-| Column3
-| Column4
-|- class="odd"
-| class=" " | Row1
-| 10
-| class="sshl_f" | 2,3,5,7
-| class="                     sshl_f" |
-| class="sshl_f  sshl_f    " |
-|- class="even"
-| class="  " | Row2
-| 2
-| class="sshl_f          " |
-| class=" sshl_f" |
-| class="sshl_f  sshl_f    " |
-|- class="odd"
-| Row3
-|
-| class="sshl_f                 " |
-| class="sshl_f    " |
-| class="sshl_f    " |
-|- class="even"
-| Row4
-| class=" " | 10
-| class="sshl_f" | 3
-| class="sshl_f    " |
-| class="   " |
-|- class="odd"
-| class=" " | Row5
-| class=" " | 2
-| class="      SelectTD1 ChangeBGColor SelectTD1" |
-<div id="2Space_Handle" class="zhandles" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="2Space_Copy" class="zhandles" title="Click and Drag over to AutoFill other cells."></div><div id="2Space_Drag" class="zhandles" title="Click and Drag to Move/Copy Area.">[[Image:copy-cube.gif]]  </div>
-| class="sshl_f    " |
-| class="   " |
-|- class="even"
-| Row6
-| class="sshl_f    " | 2
-| class="  " |
-| class="sshl_f    " |
-| class="   " |
-|}
-{|
-| <span align="left">[[Image:calci1.gif]]</span>
-|
-|
-[[Image:bold.gif]]
-|
-[[Image:italic.gif]]
-|
-[[Image:normal.gif]]
-|
-[[Image:underline.gif]]
-|
-[[Image:border.gif]]
-|
-[[Image:numbers.gif]]
-|
-[[Image:sort.gif]]
-|
-[[Image:formatcells.gif]]
-|
-[[Image:graphs.gif]]
-| $
-|}
-</div>
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