# Pham Hung

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Solved

Circular Primes (based on Project Euler, problem 35)

The number, 197, is called a circular prime because all rotations of the digits: 197, 971, and 719, are themselves prime. The...

4 months ago

Solved

Mersenne Primes vs. All Primes

A Mersenne prime (M) is a prime number of the form M = 2^p - 1, where p is another prime number. <https://www.mathworks.com/matl...

4 months ago

Solved

The Goldbach Conjecture

The <http://en.wikipedia.org/wiki/Goldbach's_conjecture Goldbach conjecture> asserts that every even integer greater than 2 can ...

4 months ago

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Sophie Germain prime

In number theory, a prime number p is a *Sophie Germain prime* if 2p + 1 is also prime. For example, 23 is a Sophie Germain prim...

4 months ago

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Mersenne Primes

A Mersenne prime is a prime number of the form M = 2^p - 1, where p is another prime number. For example, 31 is a Mersenne prim...

4 months ago

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Find nearest prime number less than input number

Find nearest prime number less than input number. For example: if the input number is 125, then the nearest prime number whi...

4 months ago

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Largest Twin Primes

<http://en.wikipedia.org/wiki/Twin_prime Twin primes> are primes p1, p2 = p1 + 2 such that both p1 and p2 are prime numbers. Giv...

4 months ago

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Make a vector of prime numbers

Input(n) - length of vector with prime numbers Output(v) - vector of prime numbers Example: * n=1; v=2 * n=3; v=[2 3 5...

4 months ago

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Find the next prime number

Find the next prime number or numbers for given n. For example: n = 1; out = 2; or n = [5 7]; out = [7 11]; ...

4 months ago

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Project Euler: Problem 4, Palindromic numbers

A palindromic number reads the same both ways. The largest palindrome made from the product of two 2-digit numbers is 9009 = 91 ...

4 months ago

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Project Euler: Problem 8, Find largest product in a large string of numbers

Find the greatest product of five consecutive digits in an n-digit number. 73167176531330624919225119674426574742355349194934...

4 months ago

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Proper Factors

Generate the proper factors of input integer x and return them in ascending order. For more information on proper factors, refer...

4 months ago

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Numbers with prime factors 2, 3 and 5.

Make a function which takes one positive integer n and returns a matrix with the numbers of the form (2^i)*(3^j)*(5^k) which are...

4 months ago

Solved

Multiples of a Number in a Given Range

Given an integer factor _f_ and a range defined by _xlow_ and _xhigh_ inclusive, return a vector of the multiples of _f_ that fa...

4 months ago

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Get all prime factors

List the prime factors for the input number, in decreasing order. List each factor. If the prime factor occurs twice, list it as...

4 months ago

Solved

Project Euler: Problem 3, Largest prime factor

The prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number being input, input might be ui...

4 months ago

Solved

Project Euler: Problem 1, Multiples of 3 and 5

If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23...

4 months ago

Solved

Project Euler: Problem 9, Pythagorean numbers

A Pythagorean triplet is a set of three natural numbers, a b c, for which, a^2 + b^2 = c^2 For example, 3^2 + 4^2 =...

4 months ago

Solved

Project Euler: Problem 7, Nth prime

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 Nth prime nu...

4 months ago

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Project Euler: Problem 5, Smallest multiple

2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder. What is the smalle...

4 months ago

Solved

Project Euler: Problem 6, Natural numbers, squares and sums.

The sum of the squares of the first ten natural numbers is, 1^2 + 2^2 + ... + 10^2 = 385 The square of the sum of the first ...

4 months ago

Solved

Project Euler: Problem 10, Sum of Primes

The sum of the primes below 10 is 2 + 3 + 5 + 7 = 17. Find the sum of all the primes below the input, N. Thank you <http:/...

4 months ago

Solved

Project Euler: Problem 2, Sum of even Fibonacci

Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 te...

4 months ago

Solved

Factorize THIS, buddy

List the prime factors for the input number, in decreasing order. List each factor only once, even if the factorization includes...

4 months ago

Solved

Remove the air bubbles

Given a matrix a, return a matrix b in which all the zeros have "bubbled" to the top. That is, any zeros in a given column shoul...

4 months ago

Solved

~~~~~~~ WAVE ~~~~~~~~~

|The WAVE generator| Once upon a time there was a river. 'Sum' was passing by the river. He saw the water of the river that w...

4 months ago

Solved

Sum of series IV

What is the sum of the following sequence: Σ(-1)^(k+1) (2k-1)^2 for k=1...n for different n?

4 months ago

Solved

Prime factor digits

Consider the following number system. Calculate the prime factorization for each number n, then represent the prime factors in a...

4 months ago

Solved

Rounding off numbers to n decimals

Inspired by a mistake in one of the problems I created, I created this problem where you have to round off a floating point numb...

4 months ago