Why is my program skipping my last elif-statement when executed? [duplicate]

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• Why is my python if statement not working? [duplicate] 2 answers

I'm currently constructing a program which gives me the weekday of a certain date through the Zellers congruence-algorithm.

I'm perhaps half-way through or such, but I'm currently stuck because my last elif-statement when asking for a daynumber gets ignored. I don't know why since I specifically typed in month == 2, so it should display "Out of allowed range 1-28" when I type in a number that is higher, but it won't execute. Instead, the program executes the second elif-statement even if the month is "2" (february). Any clues?

while True:
    year = int (input ("Year: "))
    if 1583 <= year <= 9999:
        break
    else:
        print ("Out of allowed range 1583-9999")


while True:
    month = int (input ("Month: "))
    if 1 <= month <= 12:
            break
    else:
        print ("Out of allowed range 1-12")

while True:
    day = int (input ("Day: "))      
    if month == 1 or month == 3 or month == 5 or month == 7 or month == 8 or month == 10 or month == 12: 
        if 1 <= day <= 31:
            break
        else:
            print ("Out of allowed range 1-31")

    elif month == 4 or 6 or 9 or 11:
        if 1 <= day <= 30:
            break
        else:
            print ("Out of allowed range 1-30")

    elif month == 2:
        if 1 <= day <= 28:
            break
        else:
            print ("Out of allowed range 1-28")