I have to print nth prime palindrome number with the help of this program, where n is number given by the user but I have a problem in this program, as it is taking much time to print the answer.
n=int(input())
l=[]
for i in range(1,1000000):
y=True
if str(i)==str(i)[::-1]:
if i>=2:
for j in range(2,i):
if i%j==0:
y=False
break
if y:
l.append(i)
print("Your Prime Palindrome Number Is:",l[n-1])
How can I make this code time efficient?
The first part of this code is not specific to this question. It's a general purpose strategy for testing prime numbers. It's faster than sympy.isprime() for values lower than ~500,000 (Python 3.11.1 on Intel Xeon) after which the sympy version betters this implementation.
from math import sqrt, floor
def isprime(n):
if n < 2:
return False
if n == 2 or n == 3:
return True
if n % 2 == 0 or n % 3 == 0:
return False
for i in range(5, floor(sqrt(n))+1, 6):
if n % i == 0 or n % (i + 2) == 0:
return False
return True
Now you need something to test for a palindrome. This function will return True if the string representation of the object is palindromic.
def ispalindrome(o):
return (_ := str(o)) == _[::-1]
And this is the main part of the program. As 2 is the only even prime number, let's treat that as a special case. Otherwise start with 3 and just test subsequent odd numbers.
N = int(input('Enter value for N: '))
if N > 0:
if N == 1:
print(2)
else:
p = 3
while True:
if isprime(p) and ispalindrome(p):
if (N := N - 1) == 1:
print(p)
break
p += 2
Sample output:
Enter value for N: 11
313
Hi I know there are lots of solutions to this problem but I wanted some help finding out why my answer is wrong.
Here's my answer:
number = int(input("enter a number: "))
for n in range(2, number + 1):
for i in range(2, number // 2):
if n == 2:
print(n)
elif n % i == 0:
break
else:
print(n)
Here's the output on my terminal:
> enter a number: 12
2 2 2 2 3 5 5 5 7 7 7 7 9 11 11 11 11
thankss
The problem with your solution is that you haven't set up the inner loop properly. The other problem (the lesser one in my opinion) is that the print is inside of your inner loop which causes the multiple prints.
Here is a proper solution:
for n in range(2, number + 1):
isPrime = True
for i in range(2, n - 1):
if n % i == 0:
isPrime = False
if isPrime:
print(n)
thanks everyone i realised i made a lot of really silly mistakes.
i fixed my code in case anyone else sees this question and wants a solution:
number = int(input("enter the number: "))
for n in range(2, number + 1):
for i in range(2, n):
if n % i == 0:
break
else:
print(n)
How do I include the user input value in the very first place in the output?
here is my code below:
seq = []
n = int(input("\nEnter a number (greater than 1): "))
while (n > 1):
if n % 2 == 0:
n = n // 2
else:
n = 3 * n + 1
seq.append(n)
print()
print(*seq)
So when I entered 6, it was printed like this:
3 10 5 16 8 4 2 1
My entered value (which MUST be included) is missing.
Please help!
In your current code, you add n to seq at the end of every iteration. To add the initial value of n, simply do seq.append(n) before entering the while loop:
seq = []
n = int(input("\nEnter a number (greater than 1): "))
seq.append(n) # this is the addition you need
while (n > 1):
if n % 2 == 0:
n = n // 2
else:
n = 3 * n + 1
seq.append(n)
print()
print(*seq)
There are several ways you can do this. I believe the most logical way is to move your seq.append(n) statement to the first line of your while loop to capture your input. The issue will then be that 1 will be dropped off the end of the list. To fix that, you change your while loop condition to capture the one and add a condition to break out of the while loop:
seq = []
n = int(input("\nEnter a number (greater than 1): "))
while (n > 0):
seq.append(n)
if n == 1:
break
if n % 2 == 0:
n = n // 2
else:
n = 3 * n + 1
print()
print(*seq)
#output:
Enter a number (greater than 1): 6
6 3 10 5 16 8 4 2 1
I need to print out numbers between 1 and n(n is entered with keyboard) that do not divide by 2, 3 and 5.
I need to use while or for loops and the remainder is gotten with %.
I'm new here and I just don't understand the usage of %?
I tried something like this:
import math
print("Hey. Enter a number.")
entered_number = int(input())
for i in range(1, entered_number):
if i%2 != 0:
print("The number", i, "is ok.")
else:
pass
if i%3 != 0:
print("The number", i, "is ok.")
else:
pass
if i%5 != 0:
print("The number", i, "is ok.")
help?
You need to test for all 3 conditions in one statement, not in 3:
for i in range(1, entered_number):
if i % 2 != 0 and i % 3 != 0 and i % 5 != 0:
print("The number", i, "is ok.")
The and operators here make sure that all three conditions are met before printing.
You are testing each condition in isolation, which means that if the number is, say, 10, you are still printing The number 10 is ok. because it is not divisible by 3. For numbers that are okay, you were printing The number ... is ok. 3 times, as your code tests that it is not divisible by 3 different numbers separately, printing each time.
If something divides by 7 then:
something % 7 == 0
If something divides by 7 and 9 then:
something % 7 == 0 and something % 9 == 0
Conversely, if something divides by 7 or 9 then:
something % 7 == 0 or something % 9 == 0
Something that does not divide by 7 or 9 is given by the expression:
not (something % 7 == 0 or something % 9 == 0)
You don't require the else: pass bits from your code and one if statement with an if-expression that has three %, == bits in it should suffice.
You should probably check the three conditions at the same time:
if i%2 != 0 and i%3 != 0 and i%5 != 0:
print("The number", i, "is ok.")
Otherwise, you would print the same message several times for a single number.
Anyway, for your second question, the% operation is called modulo and it gives you the remainder of a division. For instance, 5%3 = 2 because 5 = 3*1 + 2. And when you check i%2 != 0, you actually check if i can be divided by 2.
print("Hey. Enter a number.")
entered_number = int(input())
for i in range(1, entered_number):
if i%2 != 0 and i%3 !=0 and i%5!=0:
print("The number", i, "is ok.")
a%b returns the remainder when a is divided by b. Example:
>> 5%3
2
What you are doing wrong here is that you are printing after checking a single condition so it will print even if i is divisible by other numbers. For example if i is 3, it will satisfy the first condition and therefore print that the number is ok but it is actually divisible by 3.
I saw you've solved your problem but my answer may worth reading.
This problem is actually doing filtering over a list of numbers 1..n. You can define a base function to test if number x is dividable by number y, and then use this base function to filter the list to get the result.
Here's my version.
import math
from functools import partial
print("Hey. Enter a number.")
entered_number = int(input())
def not_dividable_by(x, y):
return False if x % y == 0 else True
number_list = range(1, entered_number)
for i in [2, 3, 5]:
test_func = partial(not_dividable_by, y=i)
number_list = filter(test_func, number_list)
for number in number_list:
print("%d is OK" % (number,))
I'm truly a beginner at python so I apologise for the lack of knowledge, but the reason I'm asking is that reading the Python manual and tutorial (http://docs.python.org/2.7/tutorial) I'm not unable to totally grasp how loops work. I've written some simple programs so I think I get the basics but for whatever reason this program that is meant to list all primes less than or equal to n is not working:
n = int(raw_input("What number should I go up to? "))
p = 2
while p <= n:
for i in range(2, p):
if p%i == 0:
p=p+1
print "%s" % p,
p=p+1
print "Done"
The output when I enter 100 for example is:
2 3 5 7 11 13 17 19 23 27 29 31 35 37 41 43 47 53 59 61 67 71 73 79 83 87 89 95 97 101 Done
Which looks almost right but for some reason contains 27, 35, 95, which are composite of course. I've been trying to pick apart the way my loop works but I just don't see where it skips checking for divisibility suddenly. I figured that if someone had a look they could explain to me what about the syntax is causing this. Thanks a bunch!
I would actually restructure the program to look like this:
for p in range(2, n+1):
for i in range(2, p):
if p % i == 0:
break
else:
print p,
print 'Done'
This is perhaps a more idiomatic solution (using a for loop instead of a while loop), and works perfectly.
The outer for loop iterates through all the numbers from 2 to n.
The inner one iterates to all numbers from 2 to p. If it reaches a number that divides evenly into p, then it breaks out of the inner loop.
The else block executes every time the for loop isn't broken out of (printing the prime numbers).
Then the program prints 'Done' after it finishes.
As a side note, you only need to iterate through 2 to the square root of p, since each factor has a pair. If you don't get a match there won't be any other factors after the square root, and the number will be prime.
Your code has two loops, one inside another. It should help you figure out the code if you replace the inner loop with a function. Then make sure the function is correct and can stand on its own (separate from the outer loop).
Here is my rewrite of your original code. This rewrite works perfectly.
def is_prime(n):
i = 2
while i < n:
if n%i == 0:
return False
i += 1
return True
n = int(raw_input("What number should I go up to? "))
p = 2
while p <= n:
if is_prime(p):
print p,
p=p+1
print "Done"
Note that is_prime() doesn't touch the loop index of the outer loop. It is a stand-alone pure function. Incrementing p inside the inner loop was the problem, and this decomposed version doesn't have the problem.
Now we can easily rewrite using for loops and I think the code gets improved:
def is_prime(n):
for i in range(2, n):
if n%i == 0:
return False
return True
n = int(raw_input("What number should I go up to? "))
for p in range(2, n+1):
if is_prime(p):
print p,
print "Done"
Note that in Python, range() never includes the upper bound that you pass in. So the inner loop, which checks for < n, we can simply call range(2, n) but for the outer loop, where we want <= n, we need to add one to n so that n will be included: range(2, n+1)
Python has some built-in stuff that is fun. You don't need to learn all these tricks right away, but here is another way you can write is_prime():
def is_prime(n):
return not any(n%i == 0 for i in range(2, n))
This works just like the for loop version of is_prime(). It sets i to values from range(2, n) and checks each one, and if a test ever fails it stops checking and returns. If it checks n against every number in the range and not any of them divide n evenly, then the number is prime.
Again, you don't need to learn all these tricks right away, but I think they are kind of fun when you do learn them.
This should work and is bit more optimized
import math
for i in range(2, 99):
is_prime = True
for j in range(2, int(math.sqrt(i)+1)):
if i % j == 0:
is_prime = False
if is_prime:
print(i)
Please compare your snippet with the one pasted below and you will notice where you were wrong.
n = int(raw_input("What number should I go up to? "))
p = 2
while p <= n:
is_prime=True
for i in range(2, p):
if p%i == 0:
is_prime=False
break;
if is_prime==True:
print "%d is a Prime Number\n" % p
p=p+1
you do not re-start the i loop after you find a non-prime
p = i = 2
while p <= n:
i = 2
while i < p:
if p%i == 0:
p += 1
i = 1
i += 1
print p,
p += 1
print "Done"
A while loop executes the body, and then checks if the condition at the top is True, if it is true, it does the body again. A for loop executes the body once for each item in the iterator.
def is_prime(n):
if n>=2:
for i in range(2, n):
if n%i == 0:
return False
return True
else:
return False
To find PRIME NUMBER
Let's do a couple more improvements.
You know 2 is the only even prime number, so you add 2 in your list and start from 3 incrementing your number to be checked by 2.
Once you are past the half-way point (see above sqrt and * examples), you don't need to test for a prime number.
If you use a list to keep track of the prime numbers, all you need to do is to divide by those prime numbers.
I wrote my code and each of the above items would improve my code execution time by about 500%.
prime_list=[2]
def is_prime(a_num):
for i in prime_list:
div, rem = divmod(a_num, i)
if rem == 0:
return False
elif div < i:
break;
prime_list.append(a_num)
return True
This in my opinion is a more optimised way. This finds all the prime numbers up to 1,000,000 in less than 8 seconds on my setup.
It is also one of my very first attempts at python, so I stand to be corrected
class prime:
def finder (self):
import math
n = long(raw_input("What number should I go up to? "))
for i in range(2, n):
is_prime = True
if i % 2 == 0:
is_prime = False
for j in range(3, long(math.sqrt(i) + 1), 2):
if i % j == 0:
is_prime = False
break
if is_prime:
print(i)
prime().finder()
print('Enter a Number: ')
number=abs(int(input()))
my_List=[0,1]
def is_prime(n):
if n in my_List:
return True
elif n>=2:
for i in range(2, n):
if n%i == 0:
return False
return True
else:
return False
if is_prime(number):
print("%d is Prime!"%number)
else:
print(number,'is not prime')
for i in range(2, p):
if p%i == 0:
p=p+1
print "%s" % p,
p=p+1
I am going to tell your error only,in line 3 you are incrimenting p but actually what you are missing is your i if your i in previous case is let say 13 then it will check your loop after 13 but it is leaving 2,3,5,7,11 so its an error .that is what happening in case of 27 your i before 27 is 13 and now it will check from 14.and I don't think u need an solution.
def findprime(num):
count = 0
for i in range(1,num+1):
list1 = []
for ch in range(1,i+1):
if i%1==0 and i%ch==0:
list1.append(ch)
if len(list1)==2:
count += 1
print(i,end=", ")
print()
return count
num2 = int(input("enter a number: "))
result=findprime(num2)
print("prime numbers between 1 and",num2,"are",result)
Here's a more extensive example with optimization in mind for Python 3.
import sys
inner_loop_iterations: int = 0
def is_prime(n):
a: int = 2
global inner_loop_iterations
if n == 1:
return("Not prime")
elif n == 2:
return("Prime")
while a * a <= n + 1:
inner_loop_iterations += 1
# This if statement reduces the number of inner loop iterations by roughy 50%
# just weeding out the even numbers.
if a % 2 == 0:
a += 1
else:
a += 2
if n % 2 == 0 or n % a == 0:
return ("Not prime")
else:
return ("Prime")
while True:
sys.stdout.write("Enter number to see if it's prime ('q' to quit): ")
n = input()
if not n:
continue
if n == 'q':
break
try:
n = int(n)
except ValueError:
print("Please enter a valid number")
if n < 1:
print("Please enter a valid number")
continue
sys.stdout.write("{}\n".format(is_prime(n)))
sys.stderr.write("Inner loops: {}\n\n".format(inner_loop_iterations))
inner_loop_iterations=0
This program has two main optimizations, first it only iterates from 2 to the square root of n and it only iterates through odd numbers. Using these optimizations I was able to find out that the number 1000000007 is prime in only 15811 loop iterations.
My fast implementation returning the first 25 primes:
#!/usr/bin/env python3
from math import sqrt
def _is_prime(_num: int = None):
if _num < 2:
return False
if _num > 3 and not (_num % 2 and _num % 3):
return False
return not any(_num % _ == 0 for _ in range(3, int(sqrt(_num) + 1), 2))
_cnt = 0
for _ in range(1, 1000):
if _is_prime(_):
_cnt += 1
print(f"Prime N°: {_:,} | Count: {_cnt:,}")
Better use
for i in range(2, p//2 + 1):