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Find the first occurence of a given gap between two consecutive prime numbers
Given a gap = p' - p between the two consecutive prime numbers p and p', find its first occurence, f. For examples : If , f=...

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Frequencies of prime gaps
Given two positive integers n and , write a function which computes the frequency of the gap between two consecutive of the pr...

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Breaking up a chocolate bar
You've got a chocolate bar of size , and you want to break it up into bite-sized () pieces. How many steps are required to do th...

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Classify triangles as acute, obtuse, or right
In an acute triangle, the three interior angles are acute, or smaller than 90 degrees. In an obtuse triangle, one angle is obtus...

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Compute the antisigma function
The sum of divisors function, or , is the sum of the numbers that divide . The antisigma function is the sum of numbers less tha...

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Most Frequent Characters
Given a document file or a character array, identify the 'n' most frequently occurring characters and the number of times each a...

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Pairs with Given Sum
Given an array of integers and a target sum, return all unique pairs whose sum is equal to the target. The output should be a ma...

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Intersect three sequences
Most numbers have interesting properties, if you look hard enough and interpret “interesting” liberally. Let’s choose a number a...

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Largest Small n-Polygons or Biggest Little Polygon
Largest Small n-Polygons or Biggest Little Polygon for a number n is the polygon that has diameter one and that has the largest ...

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Maze Solver with Backtracking and Custom Cost Rules
Write a function solve_maze that finds a path from the top-left corner (1,1) to the bottom-right corner (m,n) of a 2D matrix M, ...

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Find the summation of factorial series
Factorial numbers are n! = 1*2*3....*n the series is 1!, 2!, 3!,........, n!

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What kind of triangle?
Write a function named check_triangle that receives three positive integers as input: a, b, and c. These three numbers are inte...

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Count Vowels at Even Indices
Write a function `vowelEvenIndices` that counts the number of vowels (a, e, i, o, u) located at even indices (0-based) in a give...

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Check if a Number is a Palindrome Without Converting to String
Write a function that checks if a given positive integer is a palindrome without converting the number to a string or using stri...

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Zero Out Negative Elements
Write a MATLAB function called zeroNegatives that takes a numeric vector v as input and returns a modified version where all neg...

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Find the closest e-abundant numbers
An abundant number is an integer whose sum of its positive proper divisors—or the sum of its divisors excluding itself—exceeds ...

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Permuted Multiples: Project Euler Problem 52
Return the smallest positive integer, x, for which x, 2x, 3x, 4x, 5x, and 6x, all contain the same digits but in different order...

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List e-perfect numbers
A perfect number is an integer that equals the sum of its positive proper divisors—or the sum of its divisors excluding itself. ...

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Sum powers of e-divisors
In number theory the function produces the sum of divisors of an integer raised to the power . Setting sums the divisors, as ...

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Count the e-divisors of an integer
Cody Problem 2664 asks us to count the divisors of an integer, and Cody Problem 60843 involves listing the e-divisors of an inte...

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Determine the e-divisors of an integer
From MathWorld: is called an e-divisor (or exponential divisor) of a number with prime factorization if and where for...

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List the notes of a major scale
If you have seen The Sound of Music, then you are familiar with the major scale: do, re, mi, fa, sol, la, ti, do. The C major sc...

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Compute the saturation concentration for dissolved oxygen in water
As organic matter from wastewater decomposes, it consumes oxygen, and an assessment of the effect of a wastewater discharge on t...

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Bell 202 Decoder
Decode an audio frequency shift key stream at a certain baud-rate and sample rate into a binary stream of data using the Bell 20...

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Is this number Munchhausen?
In this problem, simply return 1 if a supplied number is Munchhausen or 0 if not. Example 153 is narcissistic but not a Munchh...

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Sum of Even Fibonacci Numbers
Description: The Fibonacci sequence is defined as follows:F(1)=1,F(2)=1,F(n)=F(n−1)+F(n−2) for n>2 Write a function that compu...

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Implement Shor's algorithm
Shor's algorithm, proposed in 1994 by Peter Shor, is an algorithm for factoring numbers that runs in polynomial time (polynomial...

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Construct the number counts sequence
A sequence is constructed in the following way. The zeroth term is 1, and the next terms are determined by counting the number i...

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List the first of three consecutive square-free numbers
The numbers 13, 14, and 15 are consecutive, of course, but they also share the property of being square-free. That is, each numb...

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Convert integers from primary notation to base 10
The primary system of expressing numbers has three digits: m, x, and p, which correspond to -1, 0, and 1. The places in a primar...

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