In the post “Sieve of Eratosthenes“, I had posted a Java program for the prime sieve. Translating it to Python, I have: The list of primes generated by this sieve could then be used for…

In this post we’ll compare the various methods of generating Fibonacci sequence terms and implementing the code to recognize Fibonacci terms and to determine index of these terms. These…

Problem: A Pythagorean triplet is a set of three natural numbers, a < b < c, for which, a2 + b2 = c2 For example, 32 + 42 = 9 + 16 = 25 = 52. There exists exactly one Pythagorean triplet…

Problem: Find the greatest product of five consecutive digits in the 1000-digit number. 73167176531330624919225119674426574742355349194934…

Problem: By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13. What is the 10,001st prime number? Solution: 1. Brute-force approach: 2.…

I’ve been doing some programs on Primality tests, and so far, have implemented some naive algorithms. Though not efficient, these are useful for quick implementations. Here I post some…

Problem: The sum of the squares of the first ten natural numbers is, 12 + 22 + … + 102 = 385 The square of the sum of the first ten natural numbers is, (1 + 2 + … + 10)2 = 552 = 3025…

Problem: 2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder. What is the smallest positive number that is evenly divisible by all…