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Hvordan kontrolleres, om antallet er primtal i Excel?

Som vi alle vidste, er et primtal et naturligt tal, der kun indeholder to forskellige naturlige taldelere: Den ene og sig selv. Hvis du har en liste over tal i et regneark, hvordan kan du kontrollere, om tallene er primtal?

Kontroller, om et tal er primtal med matrixformlen

Kontroller, om et tal er primtal med brugerdefineret funktion


pil blå højre boble Kontroller, om et tal er primtal med matrixformlen

Følgende formel kan hjælpe dig med at identificere nummeret, uanset om det er et primtal eller ej, gør som dette:

1. Indtast følgende formel i en tom celle - C2 for eksempel ved siden af ​​dine data:

=IF(A2=2,"Prime",IF(AND(MOD(A2,ROW(INDIRECT("2:"&ROUNDUP(SQRT(A2),0))))<>0),"Prime","Not Prime")) (A2 er cellen det nummer, du vil kontrollere), og tryk derefter på Ctrl + Skift + Enter tasterne sammen, og du får resultatet, hvis tallet er prime, viser det "Prime" i cellen, hvis ikke, vises "Not Prime", se skærmbillede:

dok. tjek om prime 1

2. Vælg derefter cellen C2, og træk udfyldningshåndtaget ned til de celler, som du vil anvende denne formel, og alle numrene identificeres, hvis det er primtal eller ej. Se skærmbillede:

dok. tjek om prime 2


pil blå højre boble Kontroller, om et tal er primtal med brugerdefineret funktion

Følgende Brugerdefineret funktion kan også hjælpe dig med at kontrollere tallene, hvis de er primære eller ej, skal du gøre som følger:

1. Hold nede ALT + F11 nøgler til at åbne Microsoft Visual Basic til applikationer vindue.

2. Klik indsatte > Moduler, og indsæt følgende kode i Modul vindue.

VBA-kode: Kontroller, om et tal er prime eller ikke:

Function CheckPrime(Numb As Single) As Boolean
'Updateby Extendoffice
    Dim X As Long
    If Numb < 2 Or (Numb <> 2 And Numb Mod 2 = 0) _
     Or Numb <> Int(Numb) Then Exit Function
    For X = 3 To Sqr(Numb) Step 2
        If Numb Mod X = 0 Then Exit Function
    Next
    CheckPrime = True
End Function

3. Gem derefter og luk denne kode, gå tilbage til regnearket, og indtast denne formel: = checkprime (A2) ind i en tom celle ved siden af ​​din nummerliste, og træk derefter udfyldningshåndtaget ned til de celler, som du vil indeholde denne formel. Hvis tallet er primtal, viser det SAND, hvis ikke, viser det FALSK, se skærmbillede:

dok. tjek om prime 3

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Comments (21)
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This comment was minimized by the moderator on the site
DO NOT ENTER THE FORMULAE IN THE CELL. Select the cell then paste the formulae in the formulae bar and press ctrl+shft+Enter. it should put { around the formulae} otherwise its wrong.
This comment was minimized by the moderator on the site
Craig, Thanks - that works! Sorry, I didn't read the instructions sufficiently carefully.
This comment was minimized by the moderator on the site
There is definitely a problem with this equation. I did a direct copy/paste and checked it was a faithful copy but it still has 9, 15, 21, 25, 33, 35 and 39 as primes when they obviously are not. On quick inspection it seems as if factors of 3 and 5 are giving rise to some sort of problem. It is a very complicated formula for a single cell - so much so, I can't work out what it is trying to do. I usually break such things down into multiple cells to make debugging easier (which, I believe is Excel best practice). The function seems to work, though.
This comment was minimized by the moderator on the site
There is definitely a problem with this equation. I did a direct copy/paste and checked it was a faithful copy but it still has 9, 15, 21, 25, 33, 35 and 39 as primes when they obviously are not. On quick inspection it seems as if factors of 3 and 5 are giving rise to some sort of problem. It is a very complicated formula for a single cell - so much so, I can't work out what it is trying to do. I usually break such things down into multiple cells to make debugging easier (which, I believe is Excel best practice).
This comment was minimized by the moderator on the site
Hi.

I am using an italian version of Excel, so the formula does not work and i have an error. Can you help me?

Thanks in advance
This comment was minimized by the moderator on the site
Hi, Gian,
If the formula does not work correctly for you, you can apply the second method-User Defined Function. Please try, hope it can help you!
Thank you!
This comment was minimized by the moderator on the site
Hi skyyang.
If it can be useful for others researchers, I inform you that I have found the solution to my problem here => http://www.riolab.org/index.php?option=com_content&view=article&id=172&Itemid=68

Thank you!
This comment was minimized by the moderator on the site
Yes it worked wen I did Ctrl+Shift+Enter... !! Thank you..:D and Do u mind explaining the algorithm please.
This comment was minimized by the moderator on the site
There's a reference error when you type in numbers that have more than 12 digits.
This comment was minimized by the moderator on the site
Hello,Nathan,
As you said, when the numbers are longer than 12 digits, it will become scientific notation. The formula is not applied for this formatting.
This comment was minimized by the moderator on the site
well 4095 is not a prime. still it gives result as prime no though. its incorrect.
This comment was minimized by the moderator on the site
Hello, vaibhav,
When you pasting above formula, you should press Ctrl + Shift + Enter keys together, not just Enter key, please try it again.
This comment was minimized by the moderator on the site
Your formula is not working. Eg. 1681 is NOT a prime but by formula it is.
=IF(A2=2,"Prime",IF(AND(MOD(A2,ROW(INDIRECT("2:"&ROUNDUP(SQRT(A2),0))))<>0),"Prime","Not Prime"))
This comment was minimized by the moderator on the site
Hello, Jan,
The above formula is correct, after pastingt the formula into a cell, you should press Ctrl + Shift + Enter keys together, not just Enter key.
Please try it again, thank you!
This comment was minimized by the moderator on the site
Yes, it was that case with CSE. Thanks (it's fixed now).
https://superuser.com/questions/674566/when-to-use-ctrlshiftenter-and-when-to-use-enter-in-excel

Btw Czech variant to:
=IF(A2=2,"Prime",IF(AND(MOD(A2,ROW(INDIRECT("2:"&ROUNDUP(SQRT(A2),0))))<>0),"Prime","Not Prime"))
is:
=KDYŽ(A2=2;"Prime";KDYŽ(A(MOD(A2;ŘÁDEK(NEPŘÍMÝ.ODKAZ("2:"&ROUNDUP(ODMOCNINA(A2);0))))<>0);"Prime";"Not Prime"))

Compare: https://imgur.com/a/4MgeV
This comment was minimized by the moderator on the site
this is my fastest version Sub generateprimenumbersbetween3() starting_number = 1 'input value here last_number = 30000 '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 Sub ISPRIME3() number_to_be_checked = 2000000000 '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
This comment was minimized by the moderator on the site
The user defined function does not seem to work for numbers above ~16777213
This comment was minimized by the moderator on the site
Sub generateprimenumbersbetween() starting_number = 99990 'input value here last_number = 99999 '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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