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How to generate all prime numbers between two given numbers in Excel?

Author: Xiaoyang Last Modified: 2016-06-20

In Excel, have you ever tried to list all prime numbers between two given numbers? This article, I will talk about some interesting methods to deal with this task.

Generate all prime numbers between two given numbers with formulas

Generate all prime numbers between two given numbers with User Defined Function


arrow blue right bubble Generate all prime numbers between two given numbers with formulas

Combining the Define Name function and formulas, you can list or generate all of the prime numbers between the two specific numbers. Please do as follows:

1. Please create the first range name by clicking Formulas > Name Manager, and in the Name Manager dialog box, click New button, see screenshot:

doc list prime numbers 1

2. In the New Name dialog box, in the Name text box, please enter rng as the range name, and then enter this formula: =ROW(INDIRECT(Sheet1!$B$1&":"&Sheet1!$B$2)) (Sheet1 is your current worksheet you used, B1 and B2 are the start and end numbers you specified )into the Refers to text box, then click OK button to return to the former dialog. See screenshot:

doc list prime numbers 2

3. Go on clicking New button to create another range name, in the New Name dialog box, enter a name prime into the Name text box, and then enter this formula: =SMALL(IF(MMULT(--(IF(rng>TRANSPOSE(rng-Sheet1!$B$1+2),MOD(rng,(rng>TRANSPOSE(rng-Sheet1!$B$1+2))*TRANSPOSE(rng-Sheet1!$B$1+2)))=0),rng-Sheet1!$B$1+2)=0,rng),ROW(INDIRECT("1:"&Sheet1!$B$2))) (rng is the first range name you have created in step2) into the Refers to text box, see screenshot:

doc list prime numbers 3

4. Then click OK and close the dialogs, and select one column that you want to list all the prime numbers, and enter this formula: =IFERROR(prime,"")(prime is the range name you created in step 3) into the formula bar, and then press CTRL + SHIFT + ENTER keys together, all the prime numbers between the given two numbers are listed as following screenshot shown:

doc list prime numbers 4


arrow blue right bubble Generate all prime numbers between two given numbers with User Defined Function

If the first method is somewhat difficult, here, you can apply a User Defined Function to solve it.

1. Hold down the ALT + F11 keys to open the Microsoft Visual Basic for Applications window.

2. Click Insert > Module, and paste the following code in the Module Window.

VBA code: Generate all prime numbers between two specific numbers:

Function PRIME(St, En As Long)
'Updateby Extendoffice 20160613
Dim num As String
For n = St To En
    For m = 2 To n - 1
        If n Mod m = 0 Then GoTo 20:
    Next m
    num = num & n & ","
20:
Next n
PRIME = num
End Function

3. Then save and close this code, go back to the worksheet, please enter this formula: =prime(10,100) (10 is the start number, and 100 is the end number that you want to get the prime numbers between, you can change them to your need), and then press Enter key, and all the prime numbers are displayed into one cell, see screenshot:

doc list prime numbers 5

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Sub generateprimenumbersbetween3() starting_number = 1 'input value here last_number = 10000 'input value here primenumbers = "" For a = starting_number To last_number c = a For b = 2 To c If a Mod b = 0 And c b Then Exit For Else If b = c Then primenumbers = primenumbers & " " & a Exit For Else If Round(a / (b + 1)) + 1 > b Then c = Round(a / (b + 1)) + 1 End If End If End If Next b Next a MsgBox primenumbers End Sub Function PRIMENUMBERSBETWEEN3(starting_number, last_number) primenumbers = "" For a = starting_number To last_number c = a For b = 2 To c If a Mod b = 0 And c b Then Exit For Else If b = c Then primenumbers = primenumbers & " " & a Exit For Else If Round(a / (b + 1)) + 1 > b Then c = Round(a / (b + 1)) + 1 End If End If End If Next b Next a PRIMENUMBERSBETWEEN3 = primenumbers End Function Sub ISPRIME3() number_to_be_checked = 15485863 'input value here c = number_to_be_checked For b = 2 To c If number_to_be_checked Mod b = 0 And c b Then MsgBox "Not Prime. Divisible by " & b Exit Sub Else If b = c Then MsgBox "Prime" Exit Sub Else If Round(number_to_be_checked / (b + 1)) + 1 > b Then c = Round(number_to_be_checked / (b + 1)) + 1 End If End If End If Next b End Sub
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Sub generateprimenumbersbetween() starting_number = 1 'input value here last_number = 2000 'input value here primenumbers = "" For a = starting_number To last_number For b = 2 To a If a - b * Int(a / b) = 0 And a b Then Exit For Else If a = b Then primenumbers = primenumbers & " " & a End If End If Next b Next a MsgBox primenumbers End Sub Function primenumbersbetween(starting_number, last_number) primenumbers = "" For a = starting_number To last_number For b = 2 To a If a - b * Int(a / b) = 0 And a b Then Exit For Else If a = b Then primenumbers = primenumbers & " " & a End If End If Next b Next a primenumbersbetween = primenumbers End Function 'to check if a number is prime Sub ISPRIME() number_to_be_checked = 102 'input value here For b = 2 To number_to_be_checked If number_to_be_checked - b * Int(number_to_be_checked / b) = 0 And _ number_to_be_checked b Then MsgBox "Not Prime. Divisible by " & b Exit Sub Else If number_to_be_checked = b Then MsgBox "Prime" End If End If Next b End Sub 'to check if a number is prime Function ISPRIME2(number_to_be_checked) For b = 2 To number_to_be_checked If number_to_be_checked - b * Int(number_to_be_checked / b) = 0 And _ number_to_be_checked b Then ISPRIME2 = "Not Prime. Divisible by " & b Exit Function Else If number_to_be_checked = b Then ISPRIME2 = "Prime" End If End If Next b End Function
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End Sub

</p>
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