Tags » Factorization

Project Euler #5: Smallest Multiple

Problem 5 deals with the concept of a least common multiple, often abbreviated as LCM. The LCM for a set of numbers can be found conceptually by listing all of the factors of each individual number and then taking the smallest number that is on all such lists. 347 more words

Project Euler

Prime Numbers and the Sieve of Eratosthenes

Prime numbers are the essential buildings blocks of the entire natural number system. For reasons that I will get into shortly, finding large primes and efficiently testing a number for primality are important objectives for computer scientists, cryptographers and other applied mathematicians. 1,337 more words


Interesting factorizations| Num3ers 7928 and 7929

The two consecutive numbers can be expressed as follows

Can you find other examples?

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Number Puzzles

Algebra ---factorization using symmetric properties

Here is a non-trivial example of factorization using symmetric polynomials.

Question: Factorize into five factors the following expression:

Solution: Observe that the given expression is symmetric, homogeneous in degree 6. 95 more words

Largest prime factor – Project Euler Problem 3

Hey there! In this post you will find the solution of third problem of Project Euler.You can find solutions of first two problems here… 367 more words


Why is the Schrödinger equation a difficult problem and how do we get around it? An introduction to SUSY QM.

Differential equations are the essential building blocks of physics. They are tremendously powerful in describing dynamic systems, that is, in describing how things move and evolve around us. 1,061 more words

Serious Mathematics