Solved

Diophantine Equations (Inspired by Project Euler, problem 66)

Consider the quadratic Diophantine equation of the form: x^2 – Dy^2 = 1 When D=13, the minimal solution in x is 649^2 – 13...

8 mesi 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 =...

8 mesi 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:/...

8 mesi ago

Solved

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...

8 mesi 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...

8 mesi 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 ...

8 mesi ago

Solved

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...

8 mesi ago

Solved

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 ...

8 mesi 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...

8 mesi 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...

8 mesi 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...

8 mesi ago

Solved

Pi Digit Probability

Assume that the next digit of pi constant is determined by the historical digit distribution. What is the probability of next di...

8 mesi ago

Solved

What is the distance from point P(x,y) to the line Ax + By + C = 0?

Given a point, P(x,y), find the distance from this point to a linear line. INPUTS: x, y, A, B, C OUTPUTS: d, the distance ...

12 mesi ago

Solved

MATLAB Counter

Write a function f = counter(x0,b) to construct a counter handle f that counts with an initial value x0 and a step size b. E...

12 mesi ago

Solved

Breaking Out of the Matrix

Do you want to take the Red Pill, or the Blue Pill? If you take the Blue Pill, you will simply pass along to the next problem...

12 mesi ago

Solved

Sums of Multiple Pairs of Triangular Numbers

This is a follow-up to <https://www.mathworks.com/matlabcentral/cody/problems/44289 Problem 44289> - Find two triangular numbers...

12 mesi ago

Solved

Recaman Sequence - II

Take an arbitrary starting point as input and create Recaman Sequence. Then find the 1, return its index. For example: if n =...

12 mesi ago

Solved

5 Prime Numbers

Your function will be given lower and upper integer bounds. Your task is to return a vector containing the first five prime numb...

12 mesi ago

Solved

The Top 5 Primes

This problem series invites you to solve two simple problems related to the integer NUMBER FIVE, in order to celebrate <https://...

circa un anno ago

Solved

Inscribed Pentagon?

Your function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a cir...

circa un anno ago

Solved

Missing five

Convert decimal numbers to a base-9 notation missing the digit *5* <<http://www.alfnie.com/software/missing5.jpg>> Too man...

circa un anno ago

Solved

The Glass Half Full

Identical glasses are placed in a triangular tower structure, such that the top level (L = 1) comprises one glass, the next leve...

circa un anno ago

Solved

Circle/Pentagon Overlap

Your function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a cir...

circa un anno ago

Solved

Recaman Sequence - I

Recaman Sequence (A005132 - <http://oeis.org/A005132 - OEIS Link>) is defined as follow; seq(0) = 0; for n > 0, seq(n) ...

circa un anno ago

Solved

I Plead the Fifth

Write a function to provide a yes or no answer to the input string. However, it must plead the 5th amendment (return an empty st...

circa un anno ago

Solved

Predicting life and death of a memory-less light bulb

*💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 &...

circa un anno ago

Solved

Write c^3 as sum of two squares a^2+b^2

write c^3 as sum of two squares a^2+b^2. a and b must be integer and greater than zero. For example 5^3 = 2^2 + 11^2 5...

circa un anno ago

Solved

Is it really a 5?

A number containing at least one five will be passed to your function, which must return true or false depending upon whether th...

circa un anno ago

Solved

Van Eck's Sequence's nth member

Return the Van Eck's Sequence's nth member. For detailed info : <http://oeis.org/A181391 OEIS link> and <https://www.theguard...

circa un anno ago

Solved

Octoberfest festival

A group of students decided to visit Octoberfest festival. First they ordered one beer, then after half-hour they taken one more...

circa un anno ago