Math and Prime Number Examples

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Python Program to Check Prime Number

Trial division prime check.

Source Code
n = 29
is_prime = n > 1 and all(n % i for i in range(2, int(n**0.5)+1))
print('Prime' if is_prime else 'Not Prime')
Expected Output
Prime

Python Program to Print all Prime Numbers in an Interval

Lists primes in range.

Source Code
l, h = 10, 50
primes = []
for x in range(l, h+1):
    if x > 1 and all(x % i for i in range(2, int(x**0.5)+1)):
        primes.append(x)
print(primes)
Expected Output
[11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47]

Python Program to Find the Factorial of a Number

Iterative factorial.

Source Code
n = 5
f = 1
for i in range(2, n+1): f *= i
print(f)
Expected Output
120

Python Program to Display the multiplication Table

Prints table for a number.

Source Code
n = 5
for i in range(1, 11):
    print(f"{n} x {i} = {n*i}")
Expected Output
5 x 1 = 5
5 x 2 = 10
5 x 3 = 15
5 x 4 = 20
5 x 5 = 25
5 x 6 = 30
5 x 7 = 35
5 x 8 = 40
5 x 9 = 45
5 x 10 = 50

Python Program to Find the Sum of Natural Numbers

Sum of 1..n.

Source Code
n = 10
print(n * (n + 1) // 2)
Expected Output
55

Python Program to Find HCF or GCD

Uses math.gcd.

Source Code
import math
print(math.gcd(54, 24))
Expected Output
6

Python Program to Find LCM

Computes LCM via GCD.

Source Code
import math
a, b = 12, 18
lcm = a * b // math.gcd(a, b)
print(lcm)
Expected Output
36

Python Program to Find the Factors of a Number

Lists divisors.

Source Code
n = 28
print([i for i in range(1, n+1) if n % i == 0])
Expected Output
[1, 2, 4, 7, 14, 28]

Python Program to Compute the Power of a Number

Uses pow.

Source Code
print(pow(2, 10))
Expected Output
1024

Python Program to Count the Number of Digits Present In a Number

Counts decimal digits.

Source Code
print(len(str(abs(12345))))
Expected Output
5

Python Strings Basics

Concatenate, format, and slice strings.

Source Code
s = "Hello, Python"
print(s.lower())
print(s.upper())
print(s[0:5])
print(f"Length: {len(s)}")
Expected Output
hello, python
HELLO, PYTHON
Hello
Length: 13

Python Core Concepts & Decision Breakdown

CategoryCore ConceptsPrimary Use CaseOfficial Docs
Primitives & Basicsint, float, str, boolBasic arithmetic, logic checks, string formattingBuilt-in Types
Data Structureslist, tuple, dict, setCollections, lookup maps, data filteringData Structures
Control Flowif/else, for, while, try/exceptIteration, conditional execution, error handlingControl Flow
OOP & Modulardef, class, lambda, importObject orientation, modularization, reusabilityClasses & OOP

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