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Sums of cubes and squares of sums
Given the positive integers 1:n, can you: 1. Compute twice the sum of the cubes of those numbers. 2. Subtract the square...
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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]; ...
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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...
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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...
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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...
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The Goldbach Conjecture
The Goldbach conjecture asserts that every even integer greater than 2 can be expressed as the sum of two primes. Given the eve...
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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...
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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...
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Recurring Cycle Length (Inspired by Project Euler Problem 26)
Preface: This problem is inspired by Project Euler Problem 26 and uses text from that question to explain what a recurring cycle...
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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 = 9 + 16 ...
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Determine if input is a perfect number
A perfect number occurs whent the sum of all divisors of a positive integer, except the number itself, equals the number. Examp...
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Scrabble Scores - 12
This problem builds directly off of Scrabble Scores - 10. Here, you are provided an existing word on the board from which you wi...
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Code breaker, Part I: Operation Phoenix
You have been tasked with decoding a set of coded messages that have been intercepted. Based on previous intelligence that ...
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Reverse Boggle
Description In the classic Parker Brothers game Boggle, players find words from a 4x4 game board of letters. This exercise is t...
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love is an n-letter word
Given a list of *N words*, return the *N-letter word* (choosing one letter from each word) with the property of having the least...
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Calculate Engine Power
Calculate Engine Power (P) in kW given the values of Torque(M) in Nm and Engine Speed(n) in rpm
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Calculate Euler's phi function
Compute the Euler's phi function of a large integer. For more information about this topic please visit: <https://en.wikiped...
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Rosenbrock's Banana Function and its derivatives
Write a function to return the value of <http://en.wikipedia.org/wiki/Rosenbrock_function Rosenbrock's two-dimensional banana fu...
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Find the jerk
No, it's not the author of this problem... Jerk is the rate of change in acceleration over time of an object. So, if given t...
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Bernoulli's Equation
Bernoulli's equation states that for an incompressible fluid the following summation is constant across the flow: v^2/2 + g*z + ...
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Coefficient of Sliding Friction
A weight of W1 N rests on a horizontal plane. The plane is gradually inclined until at an angle θ = Ao with the horizontal, the ...
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Linear Motion 5
A robot moving down an incline for 3 seconds undergoes a uniform acceleration of a ft/s2. If the robot has an initial velocity o...
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Energy of an object
Calculate the total mechanical energy of an object. Total Energy= Potential energy + Kinetic energy P.E.=m*g*h K.E.=1/2...
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Kepler's Equation
Solve <http://en.wikipedia.org/wiki/Kepler's_equation Kepler's Equation>. Note that the solution is rounded down to 5 decima...
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When Was That Goal Scored?
We want to find out when the goals were scored in a particular soccer game. For each game, we are given a "Goal Event Data" XML ...
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Find all vampire fangs
A vampire number is a number v that is the product of two numbers x and y such that the following conditions are satisfied: at ...
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Pandiagonal Prime Magic Square Verification
Verify if an NxN matrix is a Pandiagonal Prime Magic Square. Required properties: 1) N^2 prime values ( No repeats, 1 ...
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Find Rotated Substring
Given a string s1, find if a rotated version of s1 is present in a second string s2. For example, rotated version of some strin...
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Convert a structure into a string
Convert the contents of each fields into a string. Example with an input structure s with 2 fields : s.age = '33' s....
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Transposition as a CIPHER
This all about transcripting a text message. If the input string is: s1 = 'My name is Sourav Mondal', then the output is: s2 = '...
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